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Uma turbina a vapor de água possui uma válvula redutora de pressão na sua admissão para realizar o controle de carga conforme é mostrado na figura 1 2 T1 P1 ṁ1 Ṫ3 x3 3 Uma turbina a vapor de água possui uma válvula redutora de pressão na sua admissão para realizar o controle de carga conforme é mostrado na figura Para uma dada condição de operação em regime permanente na entrada da válvula os parâmetros do vapor são P1 160 bar T1 560 C e 100 th na saída da turbina o vapor encontrase a temperatura T3 45 C com um título no valor de x3 8652 Se o rendimento isentrópico da turbina é 88 e todos os equipamentos e tubulações se encontram isolados termicamente e podem ser desprezadas as variações de energia cinética e potencial considerando o ambiente de referência da água a T0 25 C calcule Calcule a potência gerada na turbina em kW Calcule a irreversibilidade na válvula em kW rendimento exergético da turbina As irreversibilidades na turbina em kW Responder 1 33472 kW Responder 2 99864 kW Responder 3 8868 Responder 4 427680 kW Index to Tables in SI Units TABLE A1 Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds 719 TABLE A2 Properties of Saturated Water LiquidVapor Temperature Table 720 TABLE A3 Properties of Saturated Water LiquidVapor Pressure Table 722 TABLE A4 Properties of Superheated Water Vapor 724 TABLE A5 Properties of Compressed Liquid Water 728 TABLE A6 Properties of Saturated Water SolidVapor Temperature Table 729 TABLE A7 Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table 730 TABLE A8 Properties of Saturated Refrigerant 22 LiquidVapor Pressure Table 731 TABLE A9 Properties of Superheated Refrigerant 22 Vapor 732 TABLE A10 Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table 736 TABLE A11 Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table 737 TABLE A12 Properties of Superheated Refrigerant 134a Vapor 738 TABLE A13 Properties of Saturated Ammonia LiquidVapor Temperature Table 741 TABLE A14 Properties of Saturated Ammonia LiquidVapor Pressure Table 742 TABLE A15 Properties of Superheated Ammonia Vapor 743 TABLE A16 Properties of Saturated Propane LiquidVapor Temperature Table 747 TABLE A17 Properties of Saturated Propane LiquidVapor Pressure Table 748 TABLE A18 Properties of Superheated Propane Vapor 749 TABLE A19 Properties of Selected Solids and Liquids cp ρ and κ 753 TABLE A20 Ideal Gas Specific Heats of Some Common Gases 754 TABLE A21 Variation of cp with Temperature for Selected Ideal Gases 755 TABLE A22 Ideal Gas Properties of Air 756 TABLE A23 Ideal Gas Properties of Selected Gases 758 TABLE A24 Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 762 TABLE A25 Thermochemical Properties of Selected Substances at 298 K and 1 atm 763 TABLE A26 Standard Molar Chemical Exergy ech kJkmol of Selected Substances at 298 K and p0 764 TABLE A27 Logarithms to the Base 10 of the Equilibrium Constant K 765 722 Tables in SI Units TABLE A3 Properties of Saturated Water LiquidVapor Pressure Table H2O Pressbar Temp CSpecific Volume m3kgInternal Energy kJkgEnthalpy kJkgEntropy kJkg K Pressbar SatLiquidvƒ 103SatVaporvgSatLiquidufSatVaporugSatLiquidhfEvaphfgSatVaporhgSatLiquidsfSatVaporsg 004 2896 10040 34800 12145 24152 12146 24329 25544 04226 84746 004 006 3616 10064 23739 15153 24250 15153 24159 25674 05210 83304 006 008 4151 10084 18103 17387 24322 17388 24031 25770 05926 82287 008 010 4581 10102 14674 19182 24379 19183 23928 25847 06493 81502 010 020 6006 10172 7649 25138 24567 25140 23583 26097 08320 79085 020 030 6910 10223 5229 28920 24684 28923 23361 26253 09439 77686 030 040 7587 10265 3993 31753 24770 31758 23192 26368 10259 76700 040 050 8133 10300 3240 34044 24839 34049 23054 26459 10910 75939 050 060 8594 10331 2732 35979 24896 35986 22936 26535 11453 75320 060 070 8995 10360 2365 37663 24945 37670 22833 26600 11919 74797 070 080 9350 10380 2087 39158 24988 39166 22741 26658 12329 74346 080 090 9671 10410 1869 40506 25026 40515 22657 26709 12695 73949 090 100 9963 10432 1694 41736 25061 41746 22580 26755 13026 73594 100 150 1114 10528 1159 46694 25197 46711 22265 26936 14336 72233 150 200 1202 10605 08857 50449 25295 50470 22019 27067 15301 71271 200 250 1274 10672 07187 53510 25372 53537 21815 27169 16072 70527 250 300 1336 10732 06058 56115 25436 56147 21638 27253 16718 69919 300 350 1389 10786 05243 58395 25469 58433 21481 27324 17275 69405 350 400 1436 10836 04625 60431 25536 60474 21338 27386 17766 68959 400 450 1479 10882 04140 62225 25576 62325 21207 27439 18207 68565 450 500 1519 10926 03749 63968 25612 64023 21085 27487 18607 68212 500 600 1589 11006 03157 66990 25674 67056 20863 27568 19312 67600 600 700 1650 11080 02729 69644 25725 69722 20663 27635 19922 67080 700 800 1704 11148 02404 72022 25768 72111 20480 27691 20462 66628 800 900 1754 11212 02150 74183 25805 74283 20311 27739 20946 66226 900 100 1799 11273 01944 76168 25836 76281 20153 27781 21387 65863 100 150 1983 11539 01318 84316 25945 84484 19473 27922 23150 64448 150 200 2124 11767 009963 90644 26003 90879 18907 27995 24474 63409 200 250 2240 11973 007998 95911 26031 96211 18410 28031 25547 62575 250 300 2339 12165 006668 10048 26041 10084 17957 28042 26457 61869 300 350 2426 12347 005707 10454 26037 10498 17537 28034 27253 61253 350 400 2504 12522 004978 10823 26023 10873 17141 28014 27964 60701 400 450 2575 12692 004406 11162 26001 11219 16764 27983 28610 60199 450 500 2640 12859 003944 11478 25971 11542 16401 27943 29202 59734 500 600 2756 13187 003244 12054 25897 12134 15710 27843 30267 58892 600 700 2859 13513 002737 12576 25805 12670 15051 27721 31211 58133 700 800 2951 13842 002352 13056 25698 13166 14413 27580 32068 57432 800 900 3034 14178 002048 13505 25578 13633 13789 27421 32858 56772 900 100 3111 14524 001803 13930 25444 14076 13171 27247 33596 56141 100 110 3182 14886 001599 14337 25298 14501 12555 27056 34295 55527 110 723 Tables in SI Units TABLE A3 Continued H2O Pressbar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Pressbar SatLiquidvƒ 103 SatVaporvg SatLiquiduf SatVaporug SatLiquidhf Evaphfg SatVaporhg SatLiquidsf SatVaporsg 120 3248 15267 001426 14730 25137 14913 11936 26849 34962 54924 120 130 3309 15671 001278 15111 24961 15315 11307 26622 35606 54323 130 140 3368 16107 001149 15486 24768 15711 10665 26376 36232 53717 140 150 3422 16581 001034 15856 24555 16105 10000 26105 36848 53098 150 160 3474 17107 0009306 16227 24317 16501 9306 25806 37461 52455 160 170 3524 17702 0008364 16602 24050 16903 8569 25472 38079 51777 170 180 3571 18397 0007489 16989 23743 17320 7771 25091 38715 51044 180 190 3615 19243 0006657 17399 23381 17765 6880 24645 39388 50228 190 200 3658 2036 0005834 17856 22930 18263 5834 24097 40139 49269 200 2209 3741 3155 0003155 20296 20296 20993 0 20993 44298 44298 2209 724 Tables in SI Units TABLE A4 Properties of Superheated Water Vapor H2O T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 006 bar 0006 MPa Tsat 3616C p 035 bar 0035 MPa Tsat 7269C Sat 23739 24250 25674 83304 4526 24730 26314 77158 80 27132 24873 26501 85804 4625 24837 26456 77564 120 30219 25447 27260 87840 5163 25424 27231 79644 160 33302 26027 28025 89693 5696 26012 28006 81519 200 36383 26614 28797 91398 6228 26604 28784 83237 240 39462 27210 29578 92982 6758 27203 29568 84828 280 42540 27815 30368 94464 7287 27809 30360 86314 320 45618 28430 31167 95859 7815 28425 31161 87712 360 48696 29055 31977 97180 8344 29051 31971 89034 400 51774 29690 32796 98435 8872 29686 32792 90291 440 54851 30335 33626 99633 9400 30332 33622 91490 500 59467 31323 34891 101336 10192 31321 34888 93194 p 070 bar 007 MPa Tsat 8995C p 10 bar 010 MPa Tsat 9963C Sat 2365 24945 26600 74797 1694 25061 26755 73594 100 2434 25097 26800 75341 1696 25067 26762 73614 120 2571 25397 27196 76375 1793 25373 27166 74668 160 2841 25994 27982 78279 1984 25978 27962 76597 200 3108 26591 28767 80012 2172 26581 28753 78343 240 3374 27193 29555 81611 2359 27185 29545 79949 280 3640 27802 30350 83162 2546 27796 30342 81445 320 3905 28420 31153 84504 2732 28415 31146 82849 360 4170 29046 31965 85828 2917 29042 31959 84175 400 4434 29682 32786 87086 3103 29679 32782 85435 440 4698 30329 33618 88286 3288 30326 33614 86636 500 5095 31318 34885 89991 3565 31316 34881 88342 p 15 bar 015 MPa Tsat 11137C p 30 bar 030 MPa Tsat 13355C Sat 1159 25197 26936 72233 0606 25436 27253 69919 120 1188 25333 27114 72693 160 1317 25952 27928 74665 0651 25871 27823 71276 200 1444 26562 28729 76433 0716 26507 28655 73115 240 1570 27172 29527 78052 0781 27131 29473 74774 280 1695 27786 30328 79555 0844 27754 30286 76299 320 1819 28406 31135 80964 0907 28381 31101 77722 360 1943 29035 31950 82293 0969 29014 31922 79061 400 2067 29673 32774 83555 1032 29656 32750 80330 440 2191 30321 33607 84757 1094 30306 33587 81538 500 2376 31312 34876 86466 1187 31300 34860 83251 600 2685 33017 37043 89101 1341 33008 37032 85892 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 50 bar 050 MPa p 70 bar 070 MPa Tsat 15186C Tsat 16497C Sat 03749 25612 27487 68213 02729 25725 27635 67080 180 04045 26097 28120 69656 02847 25998 27991 67880 200 04249 26429 28554 70592 02999 26348 28448 68865 240 04646 27076 29399 72307 03292 27018 29322 70641 280 05034 27712 30229 73865 03574 27669 30171 72233 320 05416 28347 31056 75308 03852 28313 31009 73697 360 05796 28987 31884 76660 04126 28958 31847 75063 400 06173 29632 32719 77938 04397 29609 32687 76350 440 06548 30286 33560 79152 04667 30266 33533 77571 500 07109 31284 34839 80873 05070 31268 34817 79299 600 08041 32996 37017 83522 05738 32985 37002 81956 700 08969 34775 39259 85952 06403 34766 39248 84391 p 100 bar 10 MPa p 150 bar 15 MPa Tsat 17991C Tsat 19832C Sat 01944 25836 27781 65865 01318 25945 27922 64448 200 02060 26219 28279 66940 01325 25981 27968 64546 240 02275 26929 29204 68817 01483 26769 28993 66628 280 02480 27602 30082 70465 01627 27486 29927 68381 320 02678 28261 30939 71962 01765 28711 30819 69938 360 02873 28916 31789 73349 01899 28844 31692 71363 400 03066 29573 32639 74651 02030 29513 32558 72690 440 03257 30236 33493 75883 02160 30185 33425 73940 500 03541 31244 34785 77622 02352 31203 34731 75698 540 03729 31926 35656 78720 02478 31891 35609 76805 600 04011 32968 36979 80290 02668 32939 36940 78385 640 04198 33674 37872 81290 02793 33648 37838 79391 p 200 bar 20 MPa p 300 bar 30 MPa Tsat 21242C Tsat 23390C Sat 00996 26003 27995 63409 00667 26041 28042 61869 240 01085 26596 28765 64952 00682 26197 28243 62265 280 01200 27364 29764 66828 00771 27099 29413 64462 320 01308 28079 30695 68452 00850 27884 30434 66245 360 01411 28770 31593 69917 00923 28617 31387 67801 400 01512 29452 32476 71271 00994 29328 32309 69212 440 01611 30134 33355 72540 01062 30029 33215 70520 500 01757 31162 34676 74317 01162 31080 34565 72338 540 01853 31856 35561 75434 01227 31784 35466 73474 600 01996 32909 36901 77024 01324 32850 36823 75085 640 02091 33622 37804 78035 01388 33570 37735 76106 700 02232 34709 39174 79487 01484 34665 39117 77571 Tables in SI Units 726 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 40 bar 40 MPa p 60 bar 60 MPa Tsat 2504C Tsat 27564C Sat 004978 26023 28014 60701 003244 25897 27843 58892 280 005546 26800 29018 62568 003317 26052 28042 59252 320 006199 27674 30154 64553 003876 27200 29526 61846 360 006788 28457 31172 66215 004331 28112 30711 63782 400 007341 29199 32136 67690 004739 28929 31772 65408 440 007872 29922 33071 69041 005122 29700 32773 66853 500 008643 30995 34453 70901 005665 30822 34222 68803 540 009145 31711 35369 72056 006015 31561 35170 69999 600 009885 32791 36744 73688 006525 32669 36584 71677 640 01037 33518 37666 74720 006859 33410 37526 72731 700 01110 34621 39059 76198 007352 34531 38941 74234 740 01157 35366 39996 77141 007677 35283 39892 75190 p 80 bar 80 MPa p 100 bar 100 MPa Tsat 29506C Tsat 31106C Sat 002352 25698 27580 57432 001803 25444 27247 56141 320 002682 26627 28772 59489 001925 25888 27813 57103 360 003089 27727 30198 61819 002331 27291 29621 60060 400 003432 28638 31383 63634 002641 28324 30965 62120 440 003742 29467 32461 65190 002911 29221 32132 63805 480 004034 30257 33484 66586 003160 30054 33214 65282 520 004313 31027 34477 67871 003394 30856 34251 66622 560 004582 31787 35453 69072 003619 31641 35260 67864 600 004845 32544 36420 70206 003837 32417 36253 69029 640 005102 33301 37383 71283 004048 33189 37237 70131 700 005481 34439 38824 72812 004358 34347 38705 71687 740 005729 35204 39787 73782 004560 35121 39681 72670 p 120 bar 120 MPa p 140 bar 140 MPa Tsat 32475C Tsat 33675C Sat 001426 25137 26849 54924 001149 24768 26376 53717 360 001811 26784 28957 58361 001422 26174 28165 56602 400 002108 27983 30513 60747 001722 27609 30019 59448 440 002355 28961 31787 62586 001954 28686 31422 61474 480 002576 29844 32935 64154 002157 29625 32645 63143 520 002781 30680 34018 65555 002343 30498 33778 64610 560 002977 31490 35062 66840 002517 31336 34860 65941 600 003164 32287 36083 68037 002683 32154 35911 67172 640 003345 33075 37090 69164 002843 32960 36941 68326 700 003610 34252 38584 70749 003075 34157 38462 69939 740 003781 35037 39574 71746 003225 34952 39467 70952 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 160 bar 160 MPa p 180 bar 180 MPa Tsat 34744C Tsat 35706C Sat 000931 24317 25806 52455 000749 23743 25091 51044 360 001105 25390 27158 54614 000809 24189 25645 51922 400 001426 27194 29476 58175 001190 26728 28870 56887 440 001652 28394 31037 60429 001414 28082 30628 59428 480 001842 29397 32344 62215 001596 29159 32032 61345 520 002013 30311 33533 63752 001757 30118 33780 62960 560 002172 31178 34654 65132 001904 31017 34444 64392 600 002323 32018 35735 66399 002042 31880 35556 65696 640 002467 32842 36789 67580 002174 32723 36636 66905 700 002674 34060 38339 69224 002362 33963 38215 68580 740 002808 34867 39359 70251 002483 34780 39250 69623 p 200 bar 200 MPa p 240 bar 240 MPa Tsat 36581C Sat 000583 22930 24097 49269 000673 24778 26394 52393 400 000994 26193 28181 55540 000929 27006 29234 56506 440 001222 27749 30194 58450 480 001399 28912 31708 60518 001100 28383 31023 58950 520 001551 29920 33022 62218 001241 29505 32485 60842 560 001689 30852 34230 63705 001366 30511 33790 62448 600 001818 31740 35376 65048 001481 31452 35007 63875 640 001940 32602 36481 66286 001588 32355 36167 65174 700 002113 33864 38090 67993 001739 33664 37838 66947 740 002224 34693 39141 69052 001835 34517 38921 68038 800 002385 35927 40697 70544 001974 35780 40516 69567 p 280 bar 280 MPa p 320 bar 320 MPa 400 000383 22235 23307 47494 000236 19804 20559 43239 440 000712 26132 28126 54494 000544 25090 26830 52327 480 000885 27808 30285 57446 000722 27181 29492 55968 520 001020 29068 31923 59566 000853 28607 31337 58357 560 001136 30157 33337 61307 000963 29790 32872 60246 600 001241 31156 34630 62823 001061 30853 34246 61858 640 001338 32103 35848 64187 001150 31845 35525 63290 700 001473 33461 37584 66029 001273 33254 37328 65203 740 001558 34339 38700 67153 001350 34159 38478 66361 800 001680 35631 40334 68720 001460 35480 40151 67966 900 001873 37743 42988 71084 001633 37627 42851 70372 TABLE A5 Properties of Compressed Liquid Water T C 20 40 80 100 140 180 200 220 Sat 20 40 80 100 140 180 220 260 Sat 20 40 100 200 300 Sat 10006 10067 10280 10423 10784 11261 11555 11898 11973 09984 10045 10256 10397 10752 11219 11835 12696 13677 09950 10013 10222 10361 10707 11159 11748 12550 13770 16581 09907 09971 10313 11344 13442 8380 16725 33429 41824 58782 76116 8499 9407 9591 8350 16664 33315 41681 58572 75813 9362 11244 12820 8306 16576 33148 41474 58266 75376 9299 11146 13166 15856 8247 16460 41208 8345 12966 2961 5715 10737 13050 17369 21375 23294 25174 25546 2950 5696 10704 13011 17317 21308 25083 28763 31649 2934 5666 10656 12955 17242 21210 24953 28576 32260 36848 2911 5626 12881 22961 31900 8365 16695 33372 41752 58676 75963 8481 9384 11478 8336 16635 33259 41612 58468 75665 9341 11211 13930 8277 16517 33040 41339 58069 75095 9259 11086 13061 17856 8217 16404 41078 8314 12879 u kJkg h kJkg s kJkgK u kJkg h kJkg s kJkgK 8630 16977 33686 42085 59052 76397 8528 9437 9621 9099 17418 34084 42462 59378 76655 9451 11340 12922 9799 18078 34681 43028 59872 77050 9475 11334 13373 16105 10724 18952 43785 8628 13302 h kJkg s kJkgK 8865 17197 33885 42272 59215 76525 8539 9444 11542 9333 17638 34283 42650 59542 76784 9459 11337 14076 18263 10262 18516 35080 43406 60204 77320 9493 11335 13333 11184 19389 44166 8653 13278 s kJkgK 2956 5705 10720 13030 17343 21341 23255 25128 29202 2945 5686 10688 12992 17292 21275 25039 28699 33596 40139 2923 5646 10624 12917 17193 21147 24870 28459 32071 2899 5607 12844 22893 31741 TABLE A6 Properties of Saturated Water SolidVapor Temperature Table Temp C 2 4 8 10 16 18 20 22 26 28 30 Pressure kPa 61130 51760 43750 36890 26020 21760 15100 12520 10350 8523 7010 Specific Volume m3kg 10098 10094 10091 10089 10888 10878 10874 10868 10861 10858 10854 Internal Energy kJkg 33340 33762 34178 34591 35409 35814 36115 36614 37103 37793 38180 Enthalpy kJkg 28348 28376 28370 28394 28447 28393 28387 28390 28391 28390 28389 Entropy kJkgK 10378 10456 10616 10898 10781 10865 10950 11036 11123 11212 11302 Sat Solid 1221 1237 1253 1268 1299 1315 1331 1346 1362 1377 1393 Sat Vapor 25014 25103 24940 24963 24829 24792 24755 24718 24681 24643 24606 Vapor 9156 9157 9219 9283 9348 9414 9481 9550 9619 9690 9762 SubL sig sig sig sig sig sig sig sig sig sig sig Vapor 1221 1237 1253 1268 1299 1315 1331 1346 1362 1377 1393 Sat Solid 10378 10456 10616 10898 10781 10865 10950 11036 11123 11212 11302 Sat Vapor 25014 25103 24940 24963 24829 24792 24755 24718 24681 24643 24606 SubL hs hs hs hs hs hs hs hs hs hs hs Vapor 28348 28376 28370 28394 28447 28393 28387 28390 28391 28390 28389 Sat Liquid 33340 33762 34178 34591 35409 35814 36115 36614 37103 37793 38180 Vapor 2753 2726 2698 2680 2614 2587 2559 2535 2503 2466 2433 Sat Vapor 2376 2372 2368 2360 2314 2280 2247 2214 2180 2137 2102 Sat SubL sig sig sig sig sig sig sig sig sig sig sig TABLE A7 Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table Temp C 60 50 45 40 36 32 30 28 26 22 20 Pressure bar 03749 06451 08290 10522 12627 15049 16389 17819 19345 22698 24534 Specific Volume m3kg Sat Liquid 06833 06966 07037 07109 07169 07231 07262 07294 07327 07393 07427 Sat Vapor 05370 03239 02564 02052 01730 01468 01355 01252 01159 00997 00926 Internal Energy kJkg Sat Liquid 2157 1089 550 007 429 868 1088 1309 1531 1976 2199 Sat Vapor 20367 20770 20970 21168 21325 21480 21558 21634 21711 21862 21937 Enthalpy kJkg Sat Liquid 2155 1085 544 000 438 879 1100 1322 1545 1992 2217 Evap 24535 23944 23639 23327 23071 22810 22677 22543 22408 22132 21991 Sat Vapor 22381 22860 23095 23327 23509 23689 23778 23866 23953 24124 24209 Entropy kJkgK Sat Liquid 00964 00474 00235 00000 00186 00369 00460 00551 00641 00819 00908 Sat Vapor 10547 10256 10126 10005 09914 09828 09787 09746 09707 09631 09595 Temp C 60 50 45 40 36 32 30 28 26 22 20 TABLE A9 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 55 bar 055 MPa Tsat 308C p 60 bar 060 MPa Tsat 585C Sat 5 10 15 004271 004317 004433 22753 22872 23181 25102 25246 25620 09226 09278 09411 003923 004015 004122 22844 23105 23418 25198 25514 25891 09186 09299 09431 20 25 30 004658 004768 004875 23795 24101 24407 26357 26723 27088 09667 09790 09912 004227 004330 004431 23729 24039 24349 26265 26637 27007 09560 09685 09808 35 40 45 004982 005086 005190 24713 25020 25327 27453 27817 28182 10031 10148 10264 004530 004628 004724 24658 24968 25278 27376 27745 28113 09929 10048 10164 50 55 60 005293 005394 005495 25636 25946 26258 28547 28913 29280 10378 10490 10601 004820 004914 005008 25590 25902 26215 28482 28851 29220 10279 10393 10504 p 70 bar 070 MPa Tsat 1091C p 80 bar 080 MPa Tsat 1545C Sat 15 20 25 003371 003451 003547 23004 23270 23592 25364 23686 26075 09117 09229 09363 002953 003033 003118 23143 23447 23776 25505 25874 26270 09056 09182 09315 30 35 40 003730 003819 003906 23912 24546 24862 26459 27219 27596 09493 09743 09865 003202 003283 003363 24104 24428 24752 26666 27054 27442 09448 09574 09700 45 50 55 60 65 70 003992 004076 004160 004242 004324 004405 25178 25494 25811 26129 26448 26768 27972 28348 28723 29099 29475 29851 09984 10101 10216 10330 10442 10552 003440 003517 003592 003667 003741 003814 25074 25396 25718 26040 26364 26687 27826 28210 28592 28974 29356 29738 09821 09941 10058 10174 10287 10400 p 90 bar 090 MPa Tsat 1959C p 100 bar 100 MPa Tsat 2340C Sat 20 30 40 50 60 002623 002789 002939 003082 003219 23264 23973 24637 25295 25949 25625 26483 27282 28068 28846 09001 09289 09549 09795 10033 002358 002457 002598 002732 002860 23371 23834 24518 25190 25856 25728 26291 27117 27922 28715 08952 09139 09407 09660 09902 70 80 90 100 003353 003483 003611 003736 26604 27262 27923 28590 29621 30396 31173 31953 10262 10484 10701 10913 002984 003104 003221 003337 26519 27184 27852 28524 29503 30288 31074 31861 10135 10361 10580 10794 110 120 130 140 150 003860 003982 004103 004223 004342 29263 29942 30628 31321 32021 32737 33526 34321 35122 35929 11120 11323 11523 11719 11912 003450 003562 003672 003781 003889 29202 29885 30574 31270 31974 32652 33446 34246 35051 35863 11003 11207 11408 11605 11790 TABLE A9 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 120 bar 120 MPa Tsat 3025C p 140 bar 140 MPa Tsat 3629C Sat 40 50 001955 002083 002204 23548 24263 24969 25894 26762 27614 08864 09146 09413 001662 001708 001823 23689 23978 24729 26016 26370 27281 08786 08900 09186 60 70 80 002319 002428 002534 25660 26344 27025 28443 29258 30066 09666 09907 10139 001929 002029 002125 25452 26160 26860 28153 29001 29834 09452 09703 09942 90 100 110 002636 002736 002834 27707 28390 29077 30870 31673 32478 10363 10582 10794 002217 002306 002393 27556 28252 28949 30660 31480 32300 10172 10395 10612 120 130 140 002930 003024 003118 29769 30465 31168 33285 34095 34909 11002 11205 11405 002478 002562 002644 29650 30355 31064 33119 33941 34765 10823 11029 11231 150 160 170 003210 003301 003392 31877 32592 33314 35729 36554 37384 11601 11793 11983 002725 002805 002884 31779 32499 33226 35594 36426 37264 11429 11624 11815 p 160 bar 160 MPa Tsat 4173C p 180 bar 180 MPa Tsat 4669C Sat 50 60 70 001440 001533 001634 23800 24466 25229 26104 26918 27843 08715 08971 09252 001265 001301 001401 23886 24172 24986 26164 26514 27509 08649 08758 09061 80 90 100 001728 001817 001901 25965 26686 27400 28730 29593 30442 09515 09762 09999 001492 001576 001655 25757 26504 27237 28443 29340 30216 09337 09595 09839 110 120 130 001983 002062 002139 28109 28818 29528 31282 32117 32951 10228 10448 10663 001731 001804 001874 27962 28683 29404 31077 31930 32778 10073 10299 10517 140 150 160 170 002214 002288 002361 002432 30241 30958 31679 32405 33784 34619 35456 36297 10872 11077 11277 11473 001943 002011 002077 002142 30126 30850 31578 32310 33624 34470 35317 36166 10730 10937 11139 11338 170 002503 33137 37142 11666 002207 33047 37019 11532 p 200 bar 200 MPa Tsat 5126C p 240 bar 24 MPa Tsat 5946C Sat 60 70 80 001124 001212 001300 23951 24720 25535 26198 27143 28136 08586 08873 09167 000907 000913 001006 24022 24078 25030 26199 26268 27443 08463 08484 08831 90 100 110 001381 001457 001528 26312 27067 27809 29074 29980 30865 09436 09689 09929 001085 001156 001222 25889 26701 27485 28493 29475 30418 09133 09407 09663 120 130 140 150 001596 001663 001727 001789 28544 29276 30008 30740 31737 32601 33461 34319 10160 10383 10598 10808 001284 001343 001400 001456 28253 29011 29764 30514 31335 32235 33125 34008 09906 10137 10361 10577 150 160 170 180 001850 001940 001969 002027 31475 32214 32956 33703 35176 36034 36895 37758 11013 11214 11410 11603 001509 001562 001613 001663 31264 32016 32770 33527 34887 35764 36641 37520 10787 10992 11192 11388 TABLE A10 Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table Temp C Press bar Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hg Evap hfg Sat Liquid sf Sat Vapor sg Temp C 40 05164 07055 03569 004 20445 000 22288 22288 00000 09560 40 36 06332 07113 02947 468 20673 473 22067 22540 00201 09506 36 32 07704 07172 02451 947 20901 952 21837 22790 00401 09456 32 28 09305 07233 02052 1431 21129 1437 21601 23038 00600 09411 28 26 10199 07265 01882 1675 21243 1682 21480 23162 00699 09390 26 24 11160 07296 01728 1921 21357 1929 21357 23285 00798 09370 24 22 12192 07328 01590 2168 21470 2177 21232 23408 00897 09351 22 20 13299 07361 01464 2417 21584 2426 21105 23531 00996 09332 20 18 14483 07395 01350 2667 21697 2677 20976 23653 01094 09315 18 16 15748 07428 01247 2918 21810 2930 20845 23774 01192 09298 16 12 18540 07498 01068 3425 22036 3439 20577 24015 01388 09267 12 8 21704 07569 00919 3938 22260 3954 20300 24254 01583 09239 8 4 25274 07644 00794 4456 22484 4475 20015 24490 01777 09213 4 0 29282 07721 00689 4979 22706 5002 19721 24723 01970 09190 0 4 33765 07801 00600 5508 22927 5535 19419 24953 02162 09169 4 8 38756 07884 00525 6043 23146 6073 19107 25180 02354 09150 8 12 44294 07971 00460 6583 23363 6618 18785 25403 02545 09132 12 16 50416 08062 00405 7129 23578 7169 18452 25622 02735 09116 16 20 57160 08157 00358 7680 23791 7726 18109 25836 02924 09102 20 24 64566 08257 00317 8237 24001 8290 17755 26045 03113 09089 24 26 68530 08309 00298 8518 24105 8575 17573 26148 03208 09082 26 28 72675 08362 00281 8800 24208 8861 17389 26250 03302 09076 28 30 77006 08417 00265 9084 24310 9149 17200 26350 03396 09070 30 32 81528 08473 00250 9370 24412 9439 17009 26448 03490 09064 32 34 86247 08530 00236 9658 24512 9731 16814 26545 03584 09058 34 36 91168 08590 00223 9947 24611 10025 16615 26640 03678 09053 36 38 96298 08651 00210 10238 24709 10321 16412 26733 03772 09047 38 40 10164 08714 00199 10530 24806 10619 16205 26824 03866 09041 40 42 10720 08780 00188 10825 24902 10919 15994 26914 03960 09035 42 44 11299 08847 00177 11122 24996 11222 15779 27001 04054 09030 44 48 12526 08989 00159 11722 25179 11835 15333 27168 04243 09017 48 52 13851 09142 00142 12331 25355 12458 14866 27324 04432 09004 52 56 15278 09308 00127 12951 25523 13093 14375 27468 04622 08990 56 60 16813 09488 00114 13582 25681 13742 13857 27599 04814 08973 60 70 21162 10027 00086 15222 26015 15434 12408 27843 05302 08918 70 80 26324 10766 00064 16988 26214 17271 10641 27912 05814 08827 80 90 32435 11949 00046 18982 26134 19369 8263 27632 06380 08655 90 100 39742 15443 00027 21860 24849 22474 3440 25913 07196 08117 100 TABLE A11 Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table Press bar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkgK Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Press bar 06 3707 07097 03100 341 20612 346 22127 22472 00147 09520 06 08 3121 07184 02366 1041 20946 1047 21792 22839 00440 09947 08 10 2643 07258 01917 1622 21218 1629 21506 23135 00678 09395 10 12 2236 07323 01614 2123 21450 2132 21254 23386 00879 09354 12 14 1880 07381 01395 2566 21652 2577 21027 23604 01055 09322 14 16 1562 07435 01229 2966 21832 2978 20819 23797 01211 09295 16 18 1273 07485 01098 3331 21994 3345 20626 23971 01352 09273 18 20 1009 07532 00993 3669 22143 3684 20446 24130 01481 09253 20 24 537 07618 00834 4277 22407 4295 20114 24409 01710 09222 24 28 123 07697 00719 4818 22638 4839 19813 24652 01911 09197 28 32 248 07770 00632 5306 22843 5331 19535 24866 02089 09177 32 36 584 07839 00564 5754 23028 5782 19276 25058 02251 09160 36 40 893 07904 00509 6169 23197 6200 19032 25232 02399 09145 40 50 1574 08056 00409 7093 23564 7133 18474 25607 02723 09117 50 60 2158 08196 00341 7899 23874 7948 17971 25919 02999 09097 60 70 2672 08328 00292 8619 24142 8678 17507 26185 03242 09080 70 80 3133 08454 00255 9275 24378 9342 17073 26415 03459 09066 80 90 3553 08576 00226 9879 24588 9956 16662 26618 03656 09054 90 100 3939 08695 00202 10442 24777 10529 16268 26797 03838 09043 100 120 4632 08928 00166 11469 25103 11576 15523 27099 04164 09023 120 140 5243 09159 00140 12398 25374 12526 14814 27340 04453 09003 140 160 5792 09392 00121 13252 25600 13402 14131 27533 04714 08982 160 180 6291 09631 00105 14049 25788 14222 13460 27683 04954 08959 180 200 6749 09878 00093 14802 25941 14999 12795 27794 05178 08934 200 250 7759 10562 00069 16548 26184 16812 11106 27917 05687 08854 250 300 8622 11416 00053 18188 26216 18530 9271 27801 06156 08735 300 22 TABLE A12 Properties of Superheated Refrigerant 134a Vapor T C v m3kg u kJkg h kJkg s kJkgK v m3kg u kJkg h kJkg s kJkgK p 06 bar 006 MPa Tsat 3707C p 10 bar 010 MPa Tsat 2643C Sat 031003 20612 22472 09520 019170 21218 23135 09395 20 033536 21786 23798 10062 019770 21677 23654 09602 10 034992 22497 24596 10371 020686 22401 24470 09918 0 036433 23224 25410 10675 021587 23141 25299 10227 10 037861 23969 26241 10973 022473 23896 26143 10531 20 039279 24732 27089 11267 023349 24667 27002 10829 30 040688 25512 27953 11557 024216 25454 27876 11122 40 042091 26310 28835 11844 025076 26258 28766 11411 50 043487 27125 29734 12126 025930 27079 29672 11696 60 044879 27958 30651 12405 026779 27916 30594 11977 70 046266 28808 31584 12681 027623 28770 31532 12254 80 047650 29675 32534 12954 028464 29640 32487 12528 90 049031 30558 33500 13224 029302 30527 33457 12799 p 14 bar 014 MPa Tsat 1880C p 18 bar 018 MPa Tsat 1273C Sat 013945 21652 23604 09322 010983 21994 23971 09273 10 014549 22303 24340 09606 011135 22202 24206 09362 0 015219 23055 25186 09922 011678 22967 25069 09684 10 015875 23821 26043 10230 012207 23744 25941 09998 20 016520 24601 26913 10532 012723 24533 26823 10304 30 017155 25396 27797 10828 013230 25336 27717 10604 40 017783 26206 28696 11120 013730 26153 28624 10898 50 018404 27032 29609 11407 014222 26985 29545 11187 60 019020 27874 30537 11690 014710 27831 30479 11472 70 019633 28732 31480 11969 015193 28693 31428 11753 80 020241 29606 32439 12244 015672 29571 32392 12030 90 020846 30495 33414 12516 016148 30463 33370 12303 100 021449 31401 34404 12785 016622 31372 34363 12573 p 20 bar 020 MPa Tsat 1009C p 24 bar 024 MPa Tsat 537C Sat 009933 22143 24130 09253 008343 22407 24409 09222 10 009938 22150 24138 09256 008574 22831 24889 09399 0 010438 22923 25010 09582 008574 22831 24889 09399 10 010922 23705 25889 09898 008993 23626 25784 09721 20 011394 24499 26778 10206 009399 24430 26685 10034 30 011856 25306 27677 10508 009794 25245 27595 10339 40 012311 26126 28588 10804 010181 26072 28516 10637 50 012758 26961 29512 11094 010562 26912 29447 10930 60 013201 27810 30450 11380 010937 27767 30391 11218 70 013639 28674 31402 11661 011307 28635 31349 11501 80 014073 29553 32368 11939 011674 29518 32319 11780 90 014504 30447 33348 12212 012037 30415 33304 12055 100 014932 31357 34343 12483 012398 31327 34303 12326 23 TABLE A12 Continued T C v m3kg u kJkg h kJkg s kJkgK v m3kg u kJkg h kJkg s kJkgK p 28 bar 028 MPa Tsat 123C p 32 bar 032 MPa Tsat 248C Sat 007193 22638 24652 09197 006322 22843 24866 09177 0 007240 22737 24764 09238 10 007613 23544 25676 09566 006576 23461 25565 09427 20 007972 24359 26591 09883 006901 24287 26495 09749 30 008320 25183 27512 10192 007214 25119 27428 10062 40 008660 26017 28442 10494 007518 25961 28367 10367 50 008992 26864 29381 10789 007815 26814 29315 10665 60 009319 27723 30332 11079 008106 27679 30272 10957 70 009641 28596 31295 11364 008392 28556 31241 11243 80 009960 29482 32271 11644 008674 29446 32222 11525 90 010275 30383 33260 11920 008953 30350 33215 11802 100 010587 31298 34262 12193 009229 31268 34221 12076 110 010897 32227 35278 12461 009503 32200 35240 12345 120 011205 33171 36308 12727 009774 33145 36273 12611 p 40 bar 040 MPa Tsat 893C p 50 bar 050 MPa Tsat 1574C Sat 005089 23197 25232 09145 004086 23564 25607 09117 10 005119 23287 25335 09182 20 005397 24137 26296 09515 004188 23940 26034 09264 30 005662 24989 27254 09837 004416 24820 27028 09597 40 005917 25847 28214 10148 004633 25699 28016 09918 50 006164 26713 29179 10452 004842 26583 29004 10229 60 006405 27589 30151 10748 005043 27473 29995 10531 70 006641 28475 31132 11038 005240 28372 30992 10825 80 006873 29373 32123 11322 005432 29280 31996 11114 90 007102 30284 33125 11602 005620 30200 33010 11397 100 007327 31207 34138 11878 005805 31131 34033 11675 110 007550 32144 35164 12149 005988 32074 35068 11949 120 007771 33094 36203 12417 006168 33030 36114 12218 130 007991 34058 37254 12681 006347 33998 37172 12484 140 008208 35035 38318 12941 006524 34979 38242 12746 p 60 bar 060 MPa Tsat 2158C p 70 bar 070 MPa Tsat 2672C Sat 003408 23874 25919 09097 002918 24142 26185 09080 30 003581 24641 26789 09388 002979 24451 26537 09197 40 003774 25545 27809 09719 003157 25383 27593 09539 50 003958 26448 28823 10037 003324 26308 28635 09867 60 004134 27354 29835 10346 003482 27231 29669 10182 70 004304 28266 30848 10645 003634 28157 30701 10487 80 004469 29186 31867 10938 003781 29088 31735 10784 90 004631 30114 32893 11225 003924 30027 32774 11074 100 004790 31053 33927 11505 004064 30974 33819 11358 110 004946 32003 34970 11781 004201 31931 34871 11637 120 005099 32964 36024 12053 004335 32898 35933 11910 130 005251 33938 37088 12320 004468 33876 37004 12179 140 005402 34923 38164 12584 004599 34866 38086 12444 150 005550 35921 39252 12844 004729 35868 39179 12706 160 005698 36932 40351 13100 004857 36882 40282 12963 TABLE A12 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 80 bar 080 MPa Tsat 3133C p 90 bar 090 MPa Tsat 3553C Sat 002547 24378 26415 09066 002255 24588 26618 09054 40 002691 25213 27366 09374 002325 25032 27125 09217 50 002846 26162 28439 09711 002472 26009 28234 09566 60 002992 27104 29498 10034 002609 26972 29321 09897 70 003131 28045 30550 10345 002738 27930 30394 10214 80 003264 28989 31600 10647 002861 28887 31462 10521 90 003393 29937 32652 10940 002980 29846 32528 10819 100 003519 30893 33708 11227 003095 30811 33596 11109 110 003642 31857 34771 11508 003207 31782 34668 11392 120 003762 32831 35840 11784 003316 32762 35747 11670 130 003881 33814 36919 12055 003423 33752 36833 11943 140 003997 34809 38007 12321 003529 34751 37927 12211 150 004113 35815 39105 12584 003633 35761 39031 12475 160 004227 36832 40214 12843 003736 36782 40144 12735 170 004340 37861 41333 13098 003838 37814 41268 12992 180 004452 38902 42463 13351 003939 38857 42402 13245 p 100 bar 100 MPa Tsat 3939C p 120 bar 120 MPa Tsat 4632C Sat 002020 24777 26797 09043 001663 25103 27099 09023 40 002029 24839 26868 09066 50 002171 25848 28019 09428 001712 25498 27552 09164 60 002301 26835 29136 09768 001835 26542 28744 09527 70 002423 27811 30234 10093 001947 27559 29896 09868 80 002538 28782 31320 10405 002051 28562 31024 10192 90 002649 29753 32401 10707 002150 29559 32139 10503 100 002755 30727 33482 11000 002244 30554 33247 10804 110 002858 31706 34565 11286 002335 31550 34352 11096 120 002959 32693 35652 11567 002423 32551 35458 11381 130 003058 33688 36746 11841 002508 33558 36568 11660 140 003154 34692 37846 12111 002592 34573 37683 11933 150 003250 35706 38956 12376 002674 35595 38804 12201 160 003344 36731 40074 12638 002754 36627 39933 12465 170 003436 37766 41202 12895 002834 37669 41070 12724 180 003528 38812 42340 13149 002912 38721 42216 12980 p 140 bar 140 MPa Tsat 5243C p 160 bar 160 MPa Tsat 5792C Sat 001405 25374 27340 09003 001208 25600 27533 08982 60 001495 26217 28310 09297 001233 25848 27820 09069 70 001603 27287 29531 09658 001340 26989 29133 09457 80 001701 28329 30710 09997 001435 28078 30374 09813 90 001792 29355 31863 10319 001521 29139 31572 10148 100 001878 30373 33002 10628 001601 30184 32746 10467 110 001960 31388 34132 10927 001677 31220 33904 10773 120 002039 32405 35259 11218 001750 32253 35053 11069 130 002115 33425 36386 11501 001820 33287 36199 11357 140 002189 34450 37515 11777 001887 34324 37344 11638 150 002262 35482 38649 12048 001953 35366 38491 11912 160 002333 36522 39789 12315 002017 36415 39643 12181 170 002403 37571 40936 12576 002080 37471 40799 12445 180 002472 38629 42090 12834 002142 38535 41962 12704 190 002541 39696 43253 13088 002203 39608 43133 12960 200 002608 40773 44424 13338 002263 40690 44311 13212 TABLE A13 Properties of Saturated Ammonia LiquidVapor Temperature Table Temp C Press bar Specific Volume m³kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vt 10³ Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Temp C 50 04086 14245 26265 4394 126499 4388 141620 137232 01922 61543 50 45 05453 14367 20060 2203 127119 2195 140252 138057 00951 60523 45 40 07174 14493 15524 010 127720 000 138856 138856 00000 59557 40 36 08850 14597 12757 1747 128187 1760 137717 139477 00747 58819 36 32 10832 14703 10561 3509 128641 3525 136555 140081 01484 58111 32 30 11950 14757 09634 4393 128863 4410 135965 140375 01849 57767 30 28 13159 14812 08803 5278 129082 5297 135368 140666 02212 57430 28 26 14465 14867 08056 6165 129297 6186 134765 140951 02572 57100 26 22 17390 14980 06780 7946 129718 7972 133536 141508 03287 56457 22 20 19019 15038 06233 8840 129923 8868 132910 141779 03642 56144 20 18 20769 15096 05739 9736 130125 9768 132277 142045 03994 55837 18 16 22644 15155 05291 10636 130323 10670 131635 142305 04346 55536 16 14 24652 15215 04885 11537 130517 11575 130986 142561 04695 55239 14 12 26798 15276 04516 12442 130708 12483 130328 142811 05043 54948 12 10 29089 15338 04180 13350 130895 13394 129661 143055 05389 54662 10 8 31532 15400 03874 14260 131078 14309 128986 143295 05734 54380 8 6 34134 15464 03595 15174 131257 15226 128302 143528 06077 54103 6 4 36901 15528 03340 16088 131432 16146 127610 143756 06418 53831 4 2 39842 15594 03106 17007 131604 17069 126908 143978 06759 53562 2 0 42962 15660 02892 17929 131771 17996 126197 144194 07097 53298 0 2 46270 15727 02695 18853 131934 18926 125477 144403 07435 53038 2 4 49773 15796 02514 19780 132092 19859 124748 144607 07770 52781 4 6 53479 15866 02348 20710 132247 20795 124009 144804 08105 52529 6 8 57395 15936 02195 21642 132396 21734 123261 144994 08438 52279 8 10 61529 16008 02054 22577 132542 22675 122503 145178 08769 52033 10 12 65890 16081 01923 23514 132682 23620 121735 145355 09099 51791 12 16 75324 16231 01691 25395 132948 25518 120170 145687 09755 51314 16 20 85762 16386 01492 27286 133194 27426 118564 145990 10404 50849 20 24 97274 16547 01320 29184 133419 29345 116916 146261 11048 50394 24 28 10993 16714 01172 31092 133620 31275 115224 146500 11686 49948 28 32 12380 16887 01043 33007 133797 33217 113487 146703 12319 49509 32 36 13896 17068 00930 34932 133947 35169 111700 146870 12946 49078 36 40 15549 17256 00831 36867 134070 37135 109862 146997 13569 48652 40 45 17819 17503 00725 39301 134181 39613 107484 147096 14341 48125 45 50 20331 17765 00634 41756 134242 42117 105009 147126 15109 47604 50 TABLE A14 Properties of Saturated Ammonia LiquidVapor Pressure Table Press bar Temp C Specific Volume m³kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vt 10³ Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Press bar 040 5036 14236 26795 4552 126454 4546 141718 137172 01992 61618 040 050 4653 14330 21752 2873 126931 2866 140673 137807 01245 60829 050 060 4328 14410 18345 1451 127327 1442 139776 138334 00622 60186 060 070 4046 14482 15884 211 127666 201 138985 138784 00086 59643 070 080 3794 14546 14020 893 127961 904 138273 139178 00386 59174 080 090 3567 14605 12559 1891 128224 1904 137623 139527 00808 58760 090 100 3360 14660 11381 2803 128461 2818 137023 139841 01191 58391 100 125 2907 14782 09237 4803 128965 4822 135689 140511 02018 57610 125 150 2522 14889 07787 6510 129380 6532 134528 141061 02712 56973 150 175 2186 14984 06740 8008 129733 8035 133492 141527 03312 56435 175 200 1886 15071 05946 9350 130039 9380 132551 141931 03843 55969 200 225 1615 15151 05323 10568 130308 10603 131683 142286 04319 55558 225 250 1367 15225 04821 11688 130549 11726 130876 142603 04753 55190 250 275 1137 15295 04408 12726 130767 12768 130120 142888 05152 54858 275 300 924 15361 04061 13696 130965 13742 129405 143147 05520 54554 300 325 724 15424 03765 14606 131146 14657 128727 143384 05864 54275 325 350 536 15484 03511 15466 131314 15520 128081 143601 06186 54016 350 375 358 15542 03289 16280 131468 16338 127464 143803 06489 53774 375 400 190 15597 03094 17055 131612 17118 126871 143989 06776 53548 400 425 029 15650 02921 17796 131747 17862 126301 144163 07048 53336 425 450 125 15702 02767 18504 131873 18575 125750 144325 07308 53135 450 475 272 15752 02629 19184 131991 19259 125218 144477 07555 52946 475 500 413 15800 02503 19839 132102 19918 124702 144619 07791 52765 500 525 548 15847 02390 20469 132207 20552 124201 144753 08018 52594 525 550 679 15893 02286 21078 132306 21165 123715 144880 08236 52430 550 575 805 15938 02191 21666 132400 21758 123241 144999 08446 52273 575 600 927 15982 02104 22237 132489 22332 122779 145112 08649 52122 600 700 1379 16148 01815 24356 132804 24469 121038 145507 09394 51576 700 800 1784 16302 01596 26264 133064 26395 119436 145830 10054 51099 800 900 2152 16446 01424 28005 133282 28153 117944 146097 10649 50675 900 1000 2489 16584 01285 29610 133466 29776 116542 146318 11191 50294 1000 1200 3094 16841 01075 32499 133752 32701 113952 146653 12152 49625 1200 1400 3626 17080 00923 35058 133956 35297 111582 146879 12987 49050 1400 1600 4103 17306 00808 37369 134097 37646 109377 147023 13729 48542 1600 1800 4538 17522 00717 39485 134188 39800 107301 147101 14399 48086 1800 2000 4937 17731 00644 41444 134237 41799 105327 147126 15012 47670 2000 TABLE A15 Properties of Superheated Ammonia Vapor T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 04 bar 004 MPa Tsat 5036C p 06 bar 006 MPa Tsat 4328C Sat 26795 126454 137172 61618 18345 127327 138334 60186 50 26841 126511 137248 61652 45 27481 127305 138298 62118 40 28118 128101 139348 62573 18630 127862 139040 60490 35 28753 128896 140398 63018 19061 128675 140112 60946 30 29385 129693 141447 63455 19491 129488 141183 61390 25 30015 130490 142496 63882 19918 130301 142252 61826 20 30644 131288 143546 64300 20343 131113 143319 62251 15 31271 132087 144595 64711 20766 131925 144385 62668 10 31896 132887 145645 65114 21188 132737 145450 63077 5 32520 133688 146695 65509 21609 133549 146514 63478 0 33142 134490 147747 65898 22028 134361 147578 63871 5 33764 135295 148800 66280 22446 135175 148643 64257 p 08 bar 008 MPa Tsat 3794C p 10 bar 010 MPa Tsat 3360C Sat 14021 127961 139178 59174 11381 128461 139841 58391 35 14215 128451 139823 59446 30 14543 129281 140915 59900 11573 25 14868 130109 142004 60343 11838 129915 141753 59175 20 15192 130936 143090 60777 12101 130757 142858 59616 15 15514 131761 144172 61200 12362 131596 143958 60046 10 15834 132585 145253 61615 12621 132433 145054 60467 5 16153 133409 146331 62021 12880 133267 146147 60878 0 16471 134231 147408 62419 13136 134100 147237 61281 5 16788 135054 148484 62809 13392 134933 148325 61676 10 17103 135877 149560 63192 13647 135764 149411 62063 15 17418 136701 150635 63568 13900 136595 150496 62442 20 17732 137525 151710 63939 14153 137427 151580 62816 p 15 bar 015 MPa Tsat 2522C p 20 bar 020 MPa Tsat 1886C Sat 07787 129380 141061 56973 059460 130039 141931 55969 25 07795 129420 141113 56994 20 07978 130300 142267 57454 15 08158 131175 143412 57902 060542 130743 142851 56328 10 08336 132044 144549 58338 061926 131646 144031 56781 5 08514 132908 145679 58764 063294 132541 145200 57221 0 08689 133768 146802 59179 064648 133429 146359 57649 5 08864 134625 147920 59585 065989 134311 147509 58066 10 09037 135478 149034 59981 067320 135187 148651 58473 15 09210 136329 150144 60370 068640 136059 149787 58871 20 09382 137179 151251 60751 069952 136928 150918 59260 25 09553 138028 152356 61125 071256 137793 152044 59641 30 09723 138876 153460 61492 072553 138656 153167 60014 TABLE A15 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 25 bar 025 MPa Tsat 1367C p 30 bar 030 MPa Tsat 924C Sat 048213 130549 142603 55190 040607 130965 143147 54554 10 049051 131237 143500 55534 5 050180 132165 144710 55989 041428 131780 144208 54953 0 051293 133083 145906 56431 042382 132728 145443 55409 5 052393 133991 147089 56860 043323 133664 146661 55851 10 053482 134891 148261 57278 044251 134589 147865 56280 15 054560 135784 149425 57685 045169 135505 149056 56697 20 055630 136672 150580 58083 046078 136413 150236 57103 25 056691 137555 151728 58471 046978 137314 151407 57499 30 057745 138434 152870 58851 047870 138209 152570 57886 35 058793 139310 154008 59223 048756 139100 153726 58264 40 059835 140184 155142 59589 049637 139986 154877 58635 45 060872 141056 156274 59947 050512 140870 156024 58998 p 35 bar 035 MPa Tsat 536C p 40 bar 040 MPa Tsat 190C Sat 035108 131314 143601 54016 030942 131612 143989 53548 0 036011 132366 144970 54522 031227 131995 144486 53731 10 037654 134282 147461 55417 032701 133968 147049 54652 20 039251 136149 149887 56259 034129 135881 149533 55515 30 040814 137981 152266 57057 035520 137749 151957 56328 40 042350 139787 154609 57818 036884 139585 154338 57101 60 045363 143355 159232 59249 039550 143197 159017 58549 80 048320 146906 163818 60586 042160 146777 163641 59897 100 051240 150473 168407 61850 044733 150364 168258 61169 120 054136 154079 173026 63056 047280 153985 172897 62380 140 057013 157738 177692 64213 049808 157655 177579 63541 160 059876 161460 182416 65330 052323 161386 182316 64661 180 062728 165251 187206 66411 054827 165185 187116 65744 200 065572 169115 192065 67460 057322 169056 191985 66796 p 45 bar 045 MPa Tsat 125C p 50 bar 050 MPa Tsat 413C Sat 027671 131873 144325 53135 025034 132102 144619 52765 10 028846 133648 146629 53962 025757 133322 146200 53330 20 030142 135609 149172 54845 026949 135332 148806 54234 30 031401 137515 151645 55674 028103 137276 151328 55080 40 032631 139380 154064 56460 029227 139174 153787 55878 60 035029 143037 158800 57926 031410 142876 158581 57362 80 037369 146647 163463 59285 033535 146516 163284 58733 100 039671 150255 168107 60564 035621 150146 167956 60020 120 041947 153891 172767 61781 037681 153797 172637 61242 140 044205 157573 177465 62946 039722 157490 177351 62412 160 046448 161313 182215 64069 041749 161240 182114 63537 180 048681 165120 187026 65155 043765 165054 186936 64626 200 050905 168997 191904 66208 045771 168938 191824 65681 TABLE A15 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 55 bar 055 MPa Tsat 679C p 60 bar 060 MPa Tsat 927C Sat 022861 132306 144880 52430 021038 132489 145112 52122 10 023227 132988 145763 52743 021115 132647 145316 52195 20 024335 135050 148434 53671 022155 134762 148055 53145 30 025403 137035 151007 54534 023152 136790 150681 54026 40 026441 138964 153507 55345 024118 138752 153223 54851 50 027454 140853 155953 56114 025059 140667 155703 55631 60 028449 142713 158360 56848 025981 142549 158138 56373 80 030398 146385 163104 58230 027783 146252 162922 57768 100 032307 150036 167805 59525 029546 149925 167652 59071 120 034190 153702 172507 60753 031281 153607 172376 60304 140 036054 157407 177237 61926 032997 157324 177122 61481 160 037903 161166 182013 63055 034699 161092 181912 62613 180 039742 164988 186846 64146 036390 164922 186756 63707 200 041571 168879 191743 65203 038071 168820 191663 64766 p 70 bar 070 MPa Tsat 1379C p 80 bar 080 MPa Tsat 1784C Sat 018148 132804 145507 51576 015958 133064 145830 51099 20 018721 134172 147277 52186 016138 133559 146470 51318 30 019610 136288 150015 53104 016948 135771 149329 52277 40 020464 138320 152645 53958 017720 137877 152053 53161 50 021293 140290 155195 54760 018465 139905 154677 53986 60 022101 142216 157687 55519 019189 141877 157228 54763 80 023674 145985 162556 56939 020590 145714 162186 56209 100 025205 149702 167346 58258 021949 149477 167037 57545 120 026709 153416 172112 59502 023280 153224 171848 58801 140 028193 157157 176892 60688 024590 156989 176661 59995 160 029663 160944 181708 61826 025886 160796 181504 61140 180 031121 164790 186575 62925 027170 164657 186394 62243 200 032571 168702 191501 63988 028445 168583 191339 63311 p 90 bar 090 MPa Tsat 2152C p 100 bar 100 MPa Tsat 2489C Sat 014239 133282 146097 50675 012852 133466 146318 50294 30 014872 135236 148620 51520 013206 134682 147888 50816 40 015582 137421 151445 52436 013868 136952 150820 51768 50 016263 139511 154147 53286 014499 139107 153606 52644 60 016922 141532 156761 54083 015106 141179 156286 53460 80 018191 145439 161811 55555 016270 145160 161431 54960 100 019416 149250 166724 56908 017389 149020 166410 56332 120 020612 153030 171581 58176 018478 152835 171313 57612 140 021788 156820 176429 59379 019545 156651 176196 58823 160 022948 160646 181300 60530 020598 160497 181094 59981 180 024097 164524 186212 61639 021638 164391 186029 61095 200 025237 168464 191177 62711 022670 168344 191014 62171 TABLE A15 Continued T v u h s v u h s C m3kg kJkg kJkg kJkg K m3kg kJkg kJkg kJkg K p 120 bar 120 MPa Tsat 3094C p 140 bar 140 MPa Tsat 3626C Sat 010751 133752 146653 49625 009231 133956 146879 49050 40 011287 135973 149518 50553 009432 134929 148133 49453 60 012378 140454 155307 52347 010423 139697 154289 51360 80 013387 144591 160656 53906 011324 144006 159859 52984 100 014347 148555 165771 55315 012172 148079 165120 54433 120 015275 152441 170771 56620 012986 152041 170221 55765 140 016181 156309 175726 57850 013777 155963 175252 57013 160 017072 160195 180681 59021 014552 159892 180265 58198 180 017950 164123 185663 60145 015315 163853 185294 59333 200 018819 168105 190687 61230 016068 167864 190359 60427 220 019680 172150 195766 62282 016813 171935 195473 61485 240 020534 176263 200904 63303 017551 176072 200643 62513 260 021382 180448 206106 64297 018283 180278 205875 63513 280 022225 184704 211374 65267 019010 184555 211169 64488 p 160 bar 160 MPa Tsat 4103C p 180 bar 180 MPa Tsat 4538C Sat 008079 134097 147023 48542 007174 134188 147101 48086 60 008951 138906 153228 50461 007801 138077 152119 49627 80 009774 143402 159040 52156 008565 142779 158197 51399 100 010539 147593 164456 53648 009267 147097 163778 52937 120 011268 151634 169664 55008 009931 151222 169098 54326 140 011974 155614 174772 56276 010570 155261 174288 55614 160 012663 159585 179845 57475 011192 159276 179423 56828 180 013339 163581 184923 58621 011801 163308 184550 57985 200 014005 167621 190029 59723 012400 167378 189698 59096 220 014663 171718 195179 60789 012991 171500 194883 60170 240 015314 175879 200381 61823 013574 175685 200118 61210 260 015959 180107 205642 62829 014152 179935 205408 62222 280 016599 184405 210964 63809 014724 184255 210758 63207 p 200 bar 200 MPa Tsat 4937C Sat 006445 134237 147126 47670 60 006875 137205 150954 48838 80 007596 142136 157327 50696 100 008248 146589 163086 52283 120 008861 150803 168524 53703 140 009447 154903 173798 55012 160 010016 158965 178997 56241 180 010571 163032 184174 57409 200 011116 167133 189364 58530 220 011652 171282 194587 59611 240 012182 175490 199854 60658 260 012706 179763 205174 61675 280 013224 184103 210550 62665 TABLE A16 Properties of Saturated Propane LiquidVapor Temperature Table Temp C Press bar Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hfg Evap hg Sat Liquid sf Sat Vapor sg Temp C 100 002888 1553 1127 1284 3195 1284 4804 3520 0634 2140 100 90 006426 1578 5345 1078 3293 1078 4714 3636 0519 2055 90 80 01301 1605 2774 870 3393 870 4624 3754 0408 1986 80 70 02434 1633 1551 658 3495 658 4531 3873 0301 1929 70 60 04261 1663 09234 444 3599 443 4435 3992 0198 1883 60 50 07046 1694 05793 225 3704 224 4336 4112 0098 1845 50 40 1110 1728 03798 02 3810 00 4232 4232 0000 1815 40 30 1677 1763 02585 226 3916 229 4121 4350 0096 1791 30 20 2444 1802 01815 459 4024 463 4005 4468 0190 1772 20 10 3451 1844 01309 698 4132 704 3880 4584 0282 1757 10 0 4743 1890 009653 942 4238 951 3745 4696 0374 1745 0 4 5349 1910 008591 1042 4281 1053 3688 4741 0410 1741 4 8 6011 1931 007666 1143 4323 1155 3629 4784 0446 1737 8 12 6732 1952 006858 1246 4365 1259 3568 4827 0482 1734 12 16 7515 1975 006149 1350 4407 1364 3505 4869 0519 1731 16 20 8362 1999 005525 1454 4448 1471 3439 4910 0555 1728 20 24 9278 2024 004973 1561 4489 1580 3370 4950 0591 1725 24 28 1027 2050 004483 1669 4529 1690 3299 4989 0627 1722 28 32 1133 2078 004048 1778 4567 1802 3224 5026 0663 1720 32 36 1247 2108 003659 1889 4606 1916 3146 5062 0699 1717 36 40 1369 2140 003310 2002 4643 2031 3065 5096 0736 1715 40 44 1500 2174 002997 2117 4679 2149 2980 5129 0772 1712 44 48 1640 2211 002714 2234 4714 2270 2889 5159 0809 1709 48 52 1789 2250 002459 2353 4746 2393 2793 5186 0846 1705 52 56 1947 2293 002227 2474 4777 2519 2692 5211 0884 1701 56 60 2116 2340 002015 2598 4806 2648 2584 5232 0921 1697 60 65 2342 2406 001776 2757 4836 2814 2438 5252 0969 1690 65 70 2586 2483 001560 2923 4861 2987 2277 5264 1018 1682 70 75 2849 2573 001363 3095 4878 3168 2098 5266 1069 1671 75 80 3131 2683 001182 3276 4882 3360 1892 5252 1122 1657 80 85 3436 2827 001011 3472 4869 3569 1647 5216 1178 1638 85 90 3764 3038 0008415 3694 4822 3808 1331 5139 1242 1608 90 95 4119 3488 0006395 3998 4674 4142 795 4937 1330 1546 95 967 4248 4535 0004535 4349 4349 4542 00 4572 1437 1437 967 Source Tables A16 through A18 are calculated based on B A Younglove and J F Ely Thermophysical Properties of Fluids II Methane Ethane Propane Isobutane and Normal Butane J Phys Chem Ref Data Vol 16 No 4 1987 pp 577598 TABLE A17 Properties of Saturated Propane LiquidVapor Pressure Table Press bar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hfg Evap hg Sat Liquid sf Sat Vapor sg Press bar 005 9328 1570 6752 1146 3260 1146 4744 3598 0556 2081 005 010 8387 1594 3542 951 3354 951 4659 3708 0450 2011 010 025 6955 1634 1513 649 3500 649 4527 3878 0297 1927 025 050 5693 1672 07962 377 3631 376 4405 4029 0167 1871 050 075 4868 1698 05467 196 3718 195 4323 4128 0085 1841 075 100 4238 1719 04185 56 3785 54 4257 4203 0023 1822 100 200 2543 1781 02192 331 3966 335 4069 4404 0139 1782 200 300 1416 1826 01496 598 4087 603 3933 4536 0244 1762 300 400 546 1865 01137 808 4180 815 3820 4635 0324 1751 400 500 174 1899 009172 986 4257 995 3721 4716 0389 1743 500 600 793 1931 007680 1142 4322 1153 3630 4783 0446 1737 600 700 1341 1960 006598 1282 4380 1296 3546 4842 0495 1733 700 800 1833 1989 005776 1410 4431 1426 3467 4893 0540 1729 800 900 2282 2016 005129 1529 4476 1547 3391 4938 0580 1726 900 1000 2695 2043 004606 1640 4518 1661 3318 4979 0618 1723 1000 1100 3080 2070 004174 1745 4556 1768 3247 5015 0652 1721 1100 1200 3439 2096 003810 1844 4591 1870 3178 5048 0685 1718 1200 1300 3777 2122 003499 1939 4622 1967 3110 5077 0716 1716 1300 1400 4097 2148 003231 2030 4652 2060 3044 5104 0745 1714 1400 1500 4401 2174 002997 2117 4679 2150 2979 5129 0772 1712 1500 1600 4689 2200 002790 2201 4704 2236 2914 5150 0799 1710 1600 1700 4965 2227 002606 2283 4727 2320 2850 5170 0822 1707 1700 1800 5230 2253 002441 2362 4749 2402 2786 5188 0849 1705 1800 1900 5483 2280 002292 2438 4769 2482 2722 5204 0873 1703 1900 2000 5727 2308 002157 2513 4787 2559 2659 5218 0896 1700 2000 2200 6190 2364 001921 2658 4817 2710 2530 5240 0939 1695 2200 2400 6621 2424 001721 2797 4843 2855 2401 5256 0981 1688 2400 2600 7027 2487 001549 2931 4862 2996 2269 5265 1020 1681 2600 2800 7410 2555 001398 3062 4875 3134 2132 5266 1060 1673 2800 3000 7772 2630 001263 3192 4881 3271 1989 5260 1097 1664 3000 3500 8601 2862 0009771 3514 4863 3614 1591 5205 1190 1633 3500 4000 9338 3279 0007151 3879 4747 4010 1023 5033 1295 1574 4000 4248 9670 4535 0004535 4349 4349 4542 00 4542 1437 1437 4248 750 Tables in SI Units TABLE A18 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 100 bar 10 MPa Tsat 2695C p 120 bar 12 MPa Tsat 3439C Sat 004606 4518 4979 1723 003810 4591 5048 1718 30 004696 4571 5041 1744 40 004980 4748 5246 1810 003957 4694 5169 1757 50 005248 4924 5449 1874 004204 4878 5382 1824 60 005505 5102 5652 1936 004436 5061 5593 1889 70 005752 5282 5857 1997 004657 5244 5803 1951 80 005992 5464 6063 2056 004869 5431 6015 2012 90 006226 5649 6272 2114 005075 5618 6227 2071 100 006456 5837 6483 2172 005275 5809 6442 2129 110 006681 6030 6698 2228 005470 6004 6660 2187 120 006903 6226 6916 2284 005662 6201 6880 2244 130 007122 6425 7137 2340 005851 6401 7103 2300 140 007338 6628 7362 2395 006037 6606 7330 2355 p 140 bar 14 MPa Tsat 4097C p 160 bar 16 MPa Tsat 4689C Sat 003231 4652 5104 1714 002790 4704 5150 1710 50 003446 4826 5308 1778 002861 4767 5225 1733 60 003664 5016 5529 1845 003075 4966 5458 1804 70 003869 5204 5746 1909 003270 5162 5685 1871 80 004063 5394 5963 1972 003453 5357 5909 1935 90 004249 5586 6181 2033 003626 5552 6132 1997 100 004429 5779 6399 2092 003792 5748 6355 2058 110 004604 5975 6620 2150 003952 5947 6579 2117 120 004774 6175 6843 2208 004107 6148 6805 2176 130 004942 6377 7069 2265 004259 6353 7034 2233 140 005106 6583 7298 2321 004407 6560 7265 2290 150 005268 6792 7530 2376 004553 6771 7499 2346 160 005428 7005 7765 2431 004696 6985 7736 2401 p 180 bar 18 MPa Tsat 5230C p 200 bar 20 MPa Tsat 5727C Sat 002441 4749 5188 1705 002157 4787 5218 1700 60 002606 4911 5380 1763 002216 4848 5291 1722 70 002798 5114 5618 1834 002412 5063 5545 1797 80 002974 5316 5851 1901 002585 5271 5788 1867 90 003138 5515 6080 1965 002744 5476 6025 1933 100 003293 5715 6308 2027 002892 5681 6259 1997 110 003443 5917 6537 2087 003033 5885 6492 2059 120 003586 6121 6766 2146 003169 6092 6726 2119 130 003726 6327 6998 2204 003299 6300 6960 2178 140 003863 6536 7231 2262 003426 6512 7197 2236 150 003996 6748 7467 2318 003550 6725 7435 2293 160 004127 6963 7706 2374 003671 6942 7676 2349 170 004256 7182 7948 2429 003790 7162 7920 2404 180 004383 7404 8193 2484 003907 7385 8166 2459 TABLE A18 Properties of Superheated Propane T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 005 bar 0005 MPa Tsat 9328C p 01 bar 001 MPa Tsat 8387C Sat 6752 3260 3598 2081 3542 3673 3708 2011 90 6877 3294 3638 2103 80 7258 3398 3761 2169 3617 3395 3757 2037 70 7639 3506 3888 2233 3808 3503 3884 2101 60 8018 3618 4019 2296 3999 3615 4015 2164 50 8397 3733 4153 2357 4190 3731 4150 2226 40 8776 3851 4290 2418 4380 3850 4288 2286 30 9155 3974 4432 2477 4570 3973 4430 2346 20 9533 4101 4578 2536 4760 4100 4576 2405 10 9911 4232 4728 2594 4950 4231 4726 2463 0 1029 4368 4882 2652 5139 4367 4881 2520 10 1067 4508 5041 2709 5329 4506 5039 2578 20 1105 2706 5204 2765 5518 4651 5203 2634 p 05 bar 005 MPa Tsat 5693C p 10 bar 01 MPa Tsat 4238C Sat 0796 3631 4029 1871 04185 3785 4203 1822 50 0824 3713 4125 1914 40 0863 3834 4266 1976 04234 3815 4238 1837 30 0903 3960 4411 2037 04439 3942 4386 1899 20 0942 4088 4559 2096 04641 4073 4537 1960 10 0981 4221 4711 2155 04842 4207 4691 2019 0 1019 4358 4867 2213 05040 4344 4848 2078 10 1058 4498 5027 2271 05238 4486 5010 2136 20 1096 4643 5191 2328 05434 4633 5176 2194 30 1135 4792 5359 2384 05629 4782 5345 2251 40 1173 4946 5532 2440 05824 4937 5519 2307 50 1211 5104 5709 2496 06018 5095 5697 2363 60 1249 5267 5891 2551 06211 5258 5879 2419 p 20 bar 02 MPa Tsat 2543C p 30 bar 03 MPa Tsat 1416C Sat 02192 3966 4404 1782 01496 4087 4536 1762 20 02251 4040 4490 1816 10 02358 4177 4649 1877 01527 4147 4605 1789 0 02463 4318 4811 1938 01602 4290 4771 1851 10 02566 4463 4976 1997 01674 4438 4940 1912 20 02669 4611 5145 2056 01746 4588 5112 1971 30 02770 4763 5317 2113 01816 4742 5287 2030 40 02871 4919 5493 2170 01885 4901 5466 2088 50 02970 5079 5673 2227 01954 5062 5648 2145 60 03070 5243 5857 2283 02022 5227 5834 2202 70 03169 5411 6045 2339 02090 5396 6023 2258 80 03267 5584 6237 2394 02157 5570 6217 2314 90 03365 5761 6434 2449 02223 5748 6415 2369 TABLE A18 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 40 bar 04 MPa Tsat 546C p 50 bar 05 MPa Tsat 174C Sat 01137 4180 4635 1751 009172 4257 4716 1743 0 01169 4261 4729 1786 10 01227 4412 4903 1848 009577 4384 4863 1796 20 01283 4566 5079 1909 01005 4541 5043 1858 30 01338 4722 5257 1969 01051 4700 5225 1919 40 01392 4881 5438 2027 01096 4861 5409 1979 50 01445 5044 5622 2085 01140 5025 5595 2038 60 01498 5211 5810 2143 01183 5194 5785 2095 70 01550 5381 6001 2199 01226 5366 5979 2153 80 01601 5557 6197 2255 01268 5541 6175 2209 90 01652 5735 6396 2311 01310 5721 6376 2265 100 01703 5918 6599 2366 01351 5905 6580 2321 110 01754 6104 6806 2421 01392 6093 6789 2376 p 60 bar 06 MPa Tsat 793C p 70 bar 07 MPa Tsat 1341C Sat 007680 4322 4783 1737 006598 4380 4842 1733 10 007769 4356 4822 1751 20 008187 4515 5006 1815 006847 4488 4967 1776 30 008588 4677 5192 1877 007210 4652 5157 1840 40 008978 4840 5379 1938 007558 4819 5348 1901 50 009357 5007 5568 1997 007896 4987 5540 1962 60 009729 5176 5760 2056 008225 5159 5735 2021 70 01009 5350 5955 2113 008547 5334 5932 2079 80 01045 5527 6154 2170 008863 5512 6132 2137 90 01081 5707 6356 2227 009175 5694 6336 2194 100 01116 5892 6562 2283 009482 5879 6543 2250 110 01151 6080 6771 2338 009786 6068 6753 2306 120 01185 6273 6984 2393 01009 6262 6968 2361 p 80 bar 08 MPa Tsat 1833C p 90 bar 09 MPa Tsat 2282C Sat 005776 4431 4893 1729 005129 4472 4938 1726 20 005834 4459 4926 1740 30 006170 4627 5121 1806 005355 4600 5082 1774 40 006489 4796 5315 1869 005653 4772 5281 1839 50 006796 4967 5511 1930 005938 4947 5481 1901 60 007094 5140 5708 1990 006213 5122 5681 1962 70 007385 5316 5907 2049 006479 5300 5883 2022 80 007669 5496 6110 2107 006738 5481 6087 2081 90 007948 5679 6315 2165 006992 5665 6294 2138 100 008222 5865 6523 2221 007241 5852 6504 2195 110 008493 6056 6735 2277 007487 6043 6717 2252 120 008761 6250 6951 2333 007729 6237 6933 2307 130 009026 6448 7170 2388 007969 6436 7153 2363 140 009289 6650 7393 2442 008206 6638 7377 2418 Tables in SI Units 752 TABLE A18 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 220 bar 22 MPa Tsat 6190C p 240 bar 24 MPa Tsat 6621C Sat 001921 4818 5240 1695 001721 4843 5256 1688 70 002086 5005 5464 1761 001802 4937 5369 1722 80 002261 5224 5721 1834 001984 5170 5646 1801 90 002417 5435 5967 1903 002141 5390 5904 1873 100 002561 5645 6208 1969 002283 5606 6154 1941 110 002697 5853 6446 2032 002414 5819 6398 2006 120 002826 6062 6684 2093 002538 6032 6641 2068 130 002949 6273 6922 2153 002656 6246 6883 2129 140 003069 6486 7161 2211 002770 6460 7125 2188 150 003185 6701 7402 2269 002880 6678 7369 2247 160 003298 6919 7645 2326 002986 6897 7614 2304 170 003409 7141 7891 2382 003091 7119 7861 2360 180 003517 7365 8139 2437 003193 7345 8111 2416 p 260 bar 26 MPa Tsat 7027C p 300 bar 30 MPa Tsat 7772C Sat 001549 4862 5265 1681 001263 4882 5260 1664 80 001742 5110 5563 1767 001318 4954 5349 1689 90 001903 5342 5837 1844 001506 5228 5680 1782 100 002045 5564 6096 1914 001654 5472 5968 1860 110 002174 5783 6348 1981 001783 5704 6239 1932 120 002294 6000 6596 2045 001899 5930 6500 1999 130 002408 6216 6842 2106 002007 6154 6756 2063 140 002516 6434 7088 2167 002109 6377 7010 2126 150 002621 6653 7334 2226 002206 6601 7263 2186 160 002723 6874 7582 2283 002300 6826 7516 2245 170 002821 7099 7832 2340 002390 7054 7771 2303 180 002918 7325 8084 2397 002478 7283 8026 2360 190 003012 7555 8338 2452 002563 7515 8284 2417 p 350 bar 35 MPa Tsat 8601C p 400 bar 40 MPa Tsat 9338C Sat 000977 4863 5205 1633 000715 4747 5033 1574 90 001086 5024 5405 1688 000940 5121 5497 1700 100 001270 5329 5773 1788 110 001408 5589 6082 1870 001110 5447 5891 1804 120 001526 5834 6368 1944 001237 5721 6216 1887 130 001631 6070 6641 2012 001344 5974 6512 1962 140 001728 6302 6907 2077 001439 6219 6795 2031 150 001819 6533 7170 2140 001527 6459 7070 2097 160 001906 6764 7431 2201 001609 6697 7341 2160 170 001989 6996 7692 2261 001687 6934 7609 2222 180 002068 7229 7953 2319 001761 7173 7877 2281 190 002146 7465 8216 2376 001833 7412 8145 2340 200 002221 7703 8480 2433 001902 7653 8414 2397 Propane 37 Tables in SI Units 753 TABLE A19 Properties of Selected Solids and Liquids cp ρ and κ Specific Heat cp kJkg K Density ρ kgm3 Thermal Conductivity κ Wm K Substance Selected Solids 300K Aluminium 0903 2700 237 Coal anthracite 1260 1350 026 Copper 0385 8930 401 Granite 0775 2630 279 Iron 0447 7870 802 Lead 0129 11300 353 Sand 0800 1520 027 Silver 0235 10500 429 Soil 1840 2050 052 Steel AISI 302 0480 8060 151 Tin 0227 7310 666 Building Materials 300K Brick common 0835 1920 072 Concrete stone mix 0880 2300 14 Glass plate 0750 2500 14 Hardboard siding 1170 640 0094 Limestone 0810 2320 215 Plywood 1220 545 012 Softwoods fir pine 1380 510 012 Insulating Materials 300K Blanket glass fiber 16 0046 Cork 1800 120 0039 Duct liner glass fiber coated 0835 32 0038 Polystyrene extruded 1210 55 0027 Vermiculite fill flakes 0835 80 0068 Saturated Liquids Ammonia 300K 4818 5998 0465 Mercury 300K 0139 13529 8540 Refrigerant 22 300K 1267 11831 0085 Refrigerant 134a 300K 1434 11997 0081 Unused Engine Oil 300K 1909 8841 0145 Water 275K 4211 9999 0574 300K 4179 9965 0613 325K 4182 9871 0645 350K 4195 9735 0668 375K 4220 9568 0681 400K 4256 9374 0688 Source Drawn from several sources these data are only representative Values can vary depending on temperature purity moisture content and other factors Table A19 38 Tables in SI Units 754 TABLE A20 Ideal Gas Specific Heats of Some Common Gases kJkg K cp cv k cp cv k cp cv k Temp K Air Nitrogen N2 Oxygen O2 Temp K 250 1003 0716 1401 1039 0742 1400 0913 0653 1398 250 300 1005 0718 1400 1039 0743 1400 0918 0658 1395 300 350 1008 0721 1398 1041 0744 1399 0928 0668 1389 350 400 1013 0726 1395 1044 0747 1397 0941 0681 1382 400 450 1020 0733 1391 1049 0752 1395 0956 0696 1373 450 500 1029 0742 1387 1056 0759 1391 0972 0712 1365 500 550 1040 0753 1381 1065 0768 1387 0988 0728 1358 550 600 1051 0764 1376 1075 0778 1382 1003 0743 1350 600 650 1063 0776 1370 1086 0789 1376 1017 0758 1343 650 700 1075 0788 1364 1098 0801 1371 1031 0771 1337 700 750 1087 0800 1359 1110 0813 1365 1043 0783 1332 750 800 1099 0812 1354 1121 0825 1360 1054 0794 1327 800 900 1121 0834 1344 1145 0849 1349 1074 0814 1319 900 1000 1142 0855 1336 1167 0870 1341 1090 0830 1313 1000 Temp K Carbon Dioxide CO2 Carbon Monoxide CO Hydrogen H2 Temp K 250 0791 0602 1314 1039 0743 1400 14051 9927 1416 250 300 0846 0657 1288 1040 0744 1399 14307 10183 1405 300 350 0895 0706 1268 1043 0746 1398 14427 10302 1400 350 400 0939 0750 1252 1047 0751 1395 14476 10352 1398 400 450 0978 0790 1239 1054 0757 1392 14501 10377 1398 450 500 1014 0825 1229 1063 0767 1387 14513 10389 1397 500 550 1046 0857 1220 1075 0778 1382 14530 10405 1396 550 600 1075 0886 1213 1087 0790 1376 14546 10422 1396 600 650 1102 0913 1207 1100 0803 1370 14571 10447 1395 650 700 1126 0937 1202 1113 0816 1364 14604 10480 1394 700 750 1148 0959 1197 1126 0829 1358 14645 10521 1392 750 800 1169 0980 1193 1139 0842 1353 14695 10570 1390 800 900 1204 1015 1186 1163 0866 1343 14822 10698 1385 900 1000 1234 1045 1181 1185 0888 1335 14983 10859 1380 1000 Source Adapted from K Wark Thermodynamics 4th ed McGrawHill New York 1983 as based on Tables of Thermal Properties of Gases NBS Circular 564 1955 Table A20 TABLE A21 Variation of cp with Temperature for Selected Ideal Gases cp R α βT γT2 δT3 εT4 T is in K equations valid from 300 to 1000 K Gas α β 103 γ 106 δ 109 ε 1012 CO 3710 1619 3692 2032 0240 CO2 2401 8735 6607 2002 0 H2 3057 2677 5810 5521 1812 H2O 4070 1108 4152 2964 0807 O2 3626 1878 7055 6764 2156 N2 3675 1208 2324 0632 0226 Air 3653 1337 3294 1913 02763 SO2 3267 5324 0684 5281 2559 CH4 3826 3979 24558 22733 6963 C2H2 1410 19057 24501 16391 4135 C2H4 1426 11383 7989 16254 6749 Monatomic gasesa 25 0 0 0 0 aFor monatomic gases such as He Ne and Ar cp is constant over a wide temperature range and is very nearly equal to 52 R Source Adapted from K Wark Thermodynamics 4th ed McGrawHill New York 1983 as based on NASA SP273 US Government Printing Office Washington DC 1971 TABLE A22 Ideal Gas Properties of Air TK h and ukJkg s kJkg K when Δs 01 when Δs 0 T h u s pr vr T h u s pr vr 200 19997 14256 129559 03363 1707 450 45180 32262 211161 5775 2236 210 20997 14969 134444 03987 1512 460 46202 32997 213407 6245 2114 220 21997 15682 139105 04690 1346 470 47224 33732 215604 6742 2001 230 23002 16400 143557 05477 1205 480 48249 34470 217760 7268 1895 240 24002 17113 147824 06355 1084 490 49274 35208 219876 7824 1797 250 25005 17828 151917 07329 979 500 50302 35949 221952 8411 1706 260 26009 18545 155848 08405 8878 510 51332 36692 223993 9031 1621 270 27011 19260 159634 09590 8080 520 52363 37436 225997 9684 1541 280 28013 19975 163279 10889 7380 530 53398 38184 227967 1037 1467 285 28514 20333 165055 11584 7061 540 54435 38934 229906 1110 1397 290 29016 20691 166802 12311 6761 550 55474 39686 231809 1186 1331 295 29517 21049 168515 13068 6479 560 56517 40442 233685 1266 1270 300 30019 21407 170203 13860 6212 570 57559 41197 235531 1350 1212 305 30522 21767 171865 14686 5960 580 58604 41955 237348 1438 1157 310 31024 22125 173498 15546 5723 590 59652 42715 239140 1531 1106 315 31527 22485 175106 16442 5498 600 60702 43478 240902 1628 1058 320 32029 22842 176690 17375 5286 610 61753 44242 242644 1730 1012 325 32531 23202 178249 18345 5084 620 62807 45009 244356 1836 9692 330 33034 23561 179783 19352 4894 630 63863 45778 246048 1984 9284 340 34042 24282 182790 2149 4541 640 64922 46550 247716 2064 8899 350 35049 25002 185708 2379 4222 650 65984 47325 249364 2186 8534 360 36058 25724 188543 2626 3934 660 67047 48101 250985 2313 8189 370 37067 26446 191313 2892 3672 670 68114 48881 252589 2446 7861 380 38077 27169 194001 3176 3434 680 69182 49662 254175 2585 7550 390 39088 27893 196633 3481 3215 690 70252 50445 255731 2729 7256 400 40098 28616 199194 3806 3016 700 71327 51233 257277 2880 6976 410 41112 29343 201699 4153 2833 710 72404 52023 258810 3038 6707 420 42126 30069 204142 4522 2666 720 73482 52814 260319 3202 6453 430 43143 30799 206533 4915 2511 730 74562 53607 261803 3372 6213 440 44161 31530 208870 5332 2368 740 75644 54402 263280 3550 5982 1 pr and vr data for use with Eqs 643 and 644 respectively TABLE A22 Continued TK h and ukJkg s kJkg K when Δs 01 when Δs 0 T h u s pr vr T h u s pr vr 750 76729 55199 264737 3735 5763 1300 139597 102282 327345 3309 11275 760 77818 56001 266176 3927 5554 1320 141976 104088 329160 3525 10747 770 78911 56807 267595 4131 5339 1340 144360 105894 330959 3753 10247 780 80003 57612 269013 4335 5164 1360 146749 107710 332724 3991 9780 790 81099 58421 270400 4555 4986 1380 149144 109526 334474 4242 9337 800 82195 59230 271787 4775 4808 1400 151542 111352 336200 4505 8919 820 84398 60859 274504 5259 4484 1420 153944 113177 337901 4780 8526 840 86008 62495 277170 5760 4185 1440 156351 115013 339586 5069 8153 860 88827 64140 279783 6309 3912 1460 158763 116849 341247 5371 7801 880 91056 65795 282344 6898 3661 1480 161179 118695 342892 5688 7468 900 93293 67458 284856 7529 3431 1500 163597 120541 344516 6019 7152 920 95538 69128 287324 8205 3218 1520 166023 122387 346120 6365 6854 940 97792 70808 289748 8928 3022 1540 168451 124243 347712 6728 6569 960 100055 72502 292128 9700 2840 1560 170882 126099 349276 7105 6301 980 102325 74198 294468 1052 2673 1580 173317 127965 350829 7500 6046 1000 104604 75894 296770 1140 2517 1600 175757 129830 352364 7912 5804 1020 106889 77610 299034 1234 2372 1620 178200 131696 353879 8341 5574 1040 109185 79336 301260 1333 2239 1640 180646 133572 355381 8789 5355 1060 111486 81062 303449 1439 2114 1660 183096 135448 356867 9256 5147 1080 113789 82788 305608 1552 1998 1680 185550 137324 358335 9742 4949 1100 116107 84533 307732 1671 18896 1700 18801 13927 35979 1025 4761 1120 118428 86279 309825 1797 17886 1750 19416 14398 36336 1161 4328 1140 120757 88035 311883 1931 16946 1800 20033 14872 36684 1310 3944 1160 123092 89791 313916 2072 16064 1850 20653 15349 37023 1475 3601 1180 125434 91557 315916 2222 15241 1900 21274 15826 37354 1655 3295 1200 127779 93333 317888 2380 14470 1950 21897 16306 37677 1852 3022 1220 130131 95109 319834 2547 13747 2000 22521 16787 37994 2068 2776 1240 132493 96895 321751 2723 13069 2050 23146 17268 38303 2303 2555 1260 134855 98690 323638 2908 12435 2100 23774 17753 38605 2559 2356 1280 137224 100476 325510 3104 11835 2150 24403 18238 38901 2837 2175 2200 25032 18724 39191 3138 2012 2250 25664 19213 39474 3464 1864 Source Tables A22 are based on J H Keenan and J Kaye Gas Tables Wiley New York 1945 TABLE A23 Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 hin 6391 6891 7395 7904 8419 7558 7849 8141 7747 8155 8559 8963 9371 9781 10181 10480 10763 11034 11347 11640 12010 12373 12751 13153 13563 13975 14386 14786 15153 15499 15846 16197 16566 16968 17394 17828 15406 16363 16998 17262 17655 u 4562 4770 4979 5188 5398 5396 5604 5813 6021 6229 6437 6645 6853 7061 7270 7473 7687 7894 8104 8314 8533 8753 8973 9195 9415 9635 9851 10063 10263 10463 10635 10762 10804 10906 11047 11188 11321 11438 11525 11562 11630 cbarp 0002 0005 0007 0010 0013 0011 0016 0020 0025 0030 0034 0038 0042 0046 0050 0053 0054 0051 0049 0058 0062 0063 0059 0054 0052 0050 0053 0058 0059 0056 0051 0045 0045 0046 0047 0046 0047 0052 0059 0061 0063 hin 6971 7443 7919 8399 8884 8517 8931 9346 9764 10183 10603 11023 11443 11861 12274 12678 13071 13451 13816 14181 14634 15035 15477 15956 16466 16999 17549 18107 18671 19237 19791 20325 20820 21265 21650 21976 21962 22435 23097 23437 23860 hin 7775 8276 8784 9298 9820 9364 9795 10229 10665 11102 11539 11976 12411 12841 13263 13674 14068 14446 14804 15161 15604 16025 16509 16995 17502 18031 18567 19102 19646 20191 20726 21232 21696 22108 22463 22758 22701 23122 23728 24068 24483 u 5408 5645 5882 6117 6353 6351 6588 6825 7062 7299 7535 7771 8007 8244 8479 8713 8944 9171 9393 9612 9843 10068 10310 10600 10855 11122 11391 11661 11931 12198 12459 12712 12948 13161 13378 13591 13574 14059 14692 15037 15389 hin 3907 4077 4249 4425 4601 4442 4584 4727 4868 5013 5157 5302 5445 5587 5726 5860 5983 6088 6175 6259 6362 6454 6595 6792 7030 7309 7615 7939 8273 8618 8963 9302 9628 9930 10196 10413 10390 10798 11337 11621 11913 u 0439 0460 0482 0503 0524 0522 0544 0565 0586 0608 0629 0650 0671 0692 0713 0734 0755 0776 0798 0819 0840 0861 0881 0899 0899 0880 0857 0833 0813 0794 0776 0758 0740 0721 0703 0686 0668 0656 0653 0654 0655 hin 17088 17490 17903 18325 18758 19507 19952 20406 20868 21337 21808 22276 22738 23190 23629 24050 24450 24826 25173 25520 25939 26338 26810 27379 28047 28818 29675 30590 31545 32519 33497 34462 35394 36275 37087 37819 38563 38812 39461 39814 40186 hin 22879 23369 23874 24390 24921 25838 26485 27164 27874 28610 29365 30133 30912 31696 32481 33257 34015 34749 35453 36147 36883 37582 38352 39194 40156 41236 42440 43765 45115 46486 47871 49261 50635 51979 53269 54491 55669 56374 57023 57449 57926 u 14380 14741 15112 15496 15894 16758 17270 17817 18403 19021 19661 20316 20981 21654 22331 23005 23665 24302 24910 25513 26117 26712 27306 27949 28641 29393 30198 31047 31929 32833 33750 34669 35578 36466 37320 38133 38900 39182 39675 39958 40271 hin 49462 51059 52666 54285 55917 58051 59960 61806 63602 65349 67053 68709 70308 71847 73320 74726 76058 77318 78502 79615 80661 81645 82572 83442 84262 85034 85766 86460 87127 87778 88415 89047 89682 90325 90984 91669 92384 93139 93946 94822 95787 u 44893 45996 47105 48218 49333 51962 53674 55275 56770 58168 59485 60729 61904 63016 64069 65066 66011 66909 67765 68582 69362 70108 70823 71507 72161 72787 73386 73961 74514 75047 75563 76061 76543 77008 77457 77889 78303 78699 79075 79432 79771 TABLE A23 Continued Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 hin 17564 17864 18186 18468 18770 19075 19390 19716 20053 20399 20756 21109 21458 21799 22130 22481 22833 23199 23575 23957 24352 24767 25200 25663 26155 26684 27254 27869 28533 29240 29985 30763 31567 32393 33236 34086 34940 35796 36652 37509 38356 u 13720 14001 14273 14537 14792 15040 15282 15517 15745 15967 16184 16396 16604 16808 17010 17213 17419 17631 17851 18078 18311 18553 18806 19070 19348 19642 19954 20288 20645 21030 21444 21888 22359 22852 23361 23881 24408 24934 25455 25971 26480 hin 18681 18892 19117 19370 19649 19954 20281 20630 20999 21383 21781 22192 22612 23041 23475 23913 24351 24787 25214 25627 26021 26392 26737 27054 27346 27608 27841 28045 28218 28359 28471 28553 28607 28637 28650 28656 28662 28683 28729 28811 28900 u 10376 10589 10812 11056 11320 11603 11905 12224 12561 12913 13279 13654 14038 14424 14814 15206 15600 15992 16381 16759 17127 17483 17823 18146 18448 18727 18981 19206 19398 19556 19675 19754 19791 19788 19756 19708 19660 19627 19627 19664 19732 hin 4686 4815 4945 5079 5217 5359 5507 5658 5812 5968 6125 6284 6444 6604 6764 6923 7080 7236 7388 7537 7682 7822 7956 8083 8201 8307 8400 8478 8541 8579 8597 8596 8583 8566 8550 8537 8527 8517 8512 8517 8528 u 0665 0677 0692 0709 0727 0757 0803 0879 0965 1040 1086 1092 1072 1045 1022 1015 1023 1052 1126 1246 1408 1587 1762 1915 2031 2102 2122 2093 2025 1934 1844 1783 1759 1767 1792 1822 1848 1863 1868 1868 1870 0025 hin 42066 42564 43067 43577 44093 44827 45247 45685 46140 46611 47097 47597 48110 48633 49165 49704 50249 50796 51341 51879 52404 52913 53395 53844 54256 54633 54972 55266 55514 55720 55880 56000 56086 56146 56188 56215 56233 56250 56274 56317 56389 u 21206 21254 21300 21346 21392 21504 21695 21950 22259 22602 22963 23333 23708 24085 24463 24842 25221 25597 25970 26337 26697 27049 27391 27698 27984 28248 28486 28699 28885 29048 29189 29310 29410 29491 29557 29613 29661 29709 29764 29836 29931 hin 23983 24224 24471 24725 24985 25493 25886 26302 26741 27202 27682 28178 28691 29218 29757 30307 30865 31430 32000 32570 33137 33698 34250 34783 35295 35778 36224 36628 36984 37288 37539 37733 37876 37969 38027 38062 38093 38141 38223 38339 38481 hin 30129 30144 30184 30249 30340 30478 30654 30870 31124 31414 31737 32088 32463 32863 33282 33720 34170 34628 35087 35540 35983 36406 36798 37149 37447 37685 37858 37962 38014 38031 38031 38031 38055 38147 38328 38574 38860 39169 39493 39820 40139 TABLE A23 Continued Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 hin 22815 22906 23006 23112 23226 23347 23472 23602 23735 23869 24003 24137 24269 24400 24527 24652 24773 24889 25000 25104 25202 25294 25378 25455 25524 25586 25641 25687 25725 25753 25771 25779 25779 25793 25843 25926 26038 26170 26319 26475 26629 u 10129 10144 10184 10249 10340 10478 10654 10870 11124 11414 11737 12088 12463 12863 13282 13720 14170 14628 15087 15540 15983 16406 16798 17149 17447 17685 17858 17962 18014 18031 18031 18031 18055 18147 18328 18574 18860 19169 19493 19820 20139 hin 31471 31604 31844 32188 32636 33176 33792 34477 35217 36002 36819 37657 38509 39363 40203 41017 41799 42545 43259 43949 44628 45304 45976 46639 47285 47912 48515 49096 49645 50161 50637 51073 51478 51870 52290 52824 53439 54074 54693 55276 55816 u 23407 23502 23617 23753 23919 24119 24355 24633 24958 25334 25755 26215 26709 27230 27767 28314 28865 29413 29951 30472 30969 31437 31872 32272 32635 32959 33241 33474 33652 33764 33799 33747 33663 33582 33603 33783 34151 34638 35180 35699 36180 hin 43404 43574 43893 44365 44995 45774 46698 47763 48959 50267 51668 53136 54641 56142 57607 59020 60367 61638 62828 63932 64955 65899 66772 67578 68323 69013 69653 70250 70808 71332 71826 72295 72740 73162 73563 73977 74452 75002 75608 76231 76838 u 35041 35048 35154 35378 35723 36188 36774 37476 38263 39118 40013 40927 41852 42782 43699 44585 45433 46244 47016 47749 48446 49104 49719 50288 50813 51289 51714 52084 52391 52628 52789 52862 52854 52818 52887 53135 53551 54089 54678 55247 55742 TABLE A23 Continued Carbon Dioxide CO2 hof 393520 extkJkmol Water Vapor H2O hof 241820 extkJkmol Oxygen O2 hof 0 extkJkmol Nitrogen N2 hof 0 extkJkmol T 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 Carbon Monoxide CO overlineCop extFK hof and overlineSo kJkmol K barcp 86420 87612 88806 90000 91196 92394 93593 94795 95999 97197 98401 99600 100800 103885 106935 109985 112999 115984 118933 121840 124711 127548 130355 133135 135889 138620 141331 144025 146705 149374 152033 154682 157324 159959 162588 165211 167829 170442 barh 77787 78381 78997 79629 80291 80991 81734 82518 83349 84220 85126 86063 87021 88541 90102 91693 93306 94931 96567 98206 99848 101492 103137 104781 106426 108071 109715 111360 113003 114646 116289 117931 119572 121214 122855 124497 126138 127782 bars 301543 301227 300884 300498 300067 299590 299060 298476 297840 297157 296428 295658 294855 292556 290353 288241 286217 284274 282409 280615 278887 277217 275599 274030 272503 271013 269554 268121 266712 265324 263954 262603 261269 259949 258644 257351 256069 254797 hof 70553 70635 70720 70809 70900 70995 71093 71193 71297 71403 71512 71623 71737 72445 73330 74399 75651 77085 78699 80485 82440 84561 86843 89282 91873 94611 97493 100511 103658 106927 110312 113806 117403 121098 124886 128763 132724 136762 sigmao 56227 57631 57661 57651 59075 59090 60904 60992 61320 62634 62654 64634 64885 64889 66871 68284 69587 70764 71871 72712 73576 74049 75748 77094 79320 81149 82981 84314 86148 87738 88488 88831 92171 95899 97705 99100 106972 110690 epsilono 41594 42130 42685 43139 43777 44373 44877 45473 45972 46432 46907 47627 47904 48510 47627 49587 49567 49621 59363 56815 56017 56840 56676 55453 53749 52351 53140 55553 56676 57064 59366 59366 60373 61795 63013 63613 65083 83668 TABLE A24 Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 1 van der Waals and RedlichKwong Constants for pressure in bar specific volume in m³kmol and temperature in K Substance van der Waals RedlichKwong a leftfracm3kmolright2 b fracm3kmol a bark b bar kmol bar kmol Air 1368 00367 15989 002541 Butane C4H10 1386 01162 28955 008060 Carbon dioxide CO2 3647 00428 6443 002963 Carbon monoxide CO 1474 00395 1722 002737 Methane CH4 2293 00428 3211 002965 Nitrogen N2 1366 00386 1553 002677 Oxygen O2 1369 00317 1722 002197 Propane C3H8 9349 00901 18223 006242 Refrigerant 12 1049 00971 20859 006731 Sulfur dioxide SO2 6883 00569 14480 003945 Water H2O 5531 00305 14259 002111 2 BenedictWebbRubin Constants for pressure in bar specific volume in m³kmol and temperature in K Substance a A b B c C alpha gamma C4H10 19073 10218 0039998 012436 3206 imes 105 1006 imes 106 1101 imes 103 00340 CO2 01386 27737 0007210 004991 1512 imes 104 1404 imes 105 847 imes 105 000539 CO 00371 13590 0002632 005454 1054 imes 103 8676 imes 103 1350 imes 104 00060 CH4 00501 18796 0003380 004260 2579 imes 103 2287 imes 104 1244 imes 104 00060 N2 00254 10676 0002328 004074 7381 imes 102 8166 imes 103 1272 imes 104 00053 TABLE A25 Thermochemical Properties of Selected Substances at 298K and 1 atm Substance Formula Molar Mass M kgkmol Enthalpy of Formation barhof kJkmol Gibbs Function of Formation bargof kJkmol Absolute Entropy barso kJkmol K Heating Values Higher HHV kJkg Lower LHV kJkg Carbon Cs 1201 0 0 574 32770 32770 Hydrogen H2g 2016 0 0 13057 141780 119950 Nitrogen N2g 2801 0 0 19150 Oxygen O2g 3200 0 0 20503 Carbon monoxide COg 2801 110530 137150 19754 Carbon dioxide CO2g 4401 393520 394380 21369 Water H2Og 1802 241820 228590 18872 Water H2Ol 1802 285830 237180 6995 Hydrogen peroxide H2O2g 3402 136310 105600 23263 Ammonia NH3g 1703 46190 16590 19233 Oxygen Og 1600 249170 231770 16095 Hydrogen Hg 1008 218000 203290 11461 Nitrogen Ng 1401 472680 455510 15319 Hydroxyl OHg 1701 39460 34280 18375 Methane CH4g 1604 74850 50790 18616 55510 50020 Acetylene C2H2g 2604 226730 209170 20085 49910 48220 Ethylene C2H2g 2805 52280 68120 21983 50300 47160 Ethane C2H6g 3007 84680 32890 22949 51870 47480 Propylene C3H6g 4208 20410 62720 26694 48920 45780 Propane C3H8g 4409 103850 23490 26991 50350 46360 Butane C4H10g 5812 126150 15710 31003 49500 45720 Pentane C5H12g 7215 146440 8200 34840 49010 45350 Octane C8H18g 11422 208450 17320 46367 48260 44790 Octane C8H18l 11422 249910 6610 36079 47900 44430 Benzene C6H6g 7811 82930 129660 26920 42270 40580 Methyl alcohol CH3OHg 3204 200890 162140 23970 23850 21110 Methyl alcohol CH3OHl 3204 238810 166290 12680 22670 19920 Ethyl alcohol C2H5OHg 4607 235310 168570 28259 30590 27720 Ethyl alcohol C2H5OHl 4607 277690 174890 16070 29670 26800 TABLE A26 Standard Molar Chemical Exergy ech kJkmol of Selected Substances at 298 K and p₀ Substance Formula Model Ia Model IIb Nitrogen N2g 640 720 Oxygen O2g 3950 3970 Carbon dioxide CO2g 14175 19870 Water H2Og 8635 9500 Water H2Ol 45 900 Carbon graphite Cs 404590 410260 Hydrogen H2g 235250 236100 Sulfur Ss 598160 609600 Carbon monoxide COg 269410 275100 Sulfur dioxide SO2g 301940 313400 Nitrogen monoxide NOg 88850 88900 Nitrogen dioxide NO2g 55565 55600 Hydrogen sulfide H2Sg 799890 812000 Ammonia NH3g 336685 337900 Methane CH4g 824350 831650 Ethane C2H6g 1482035 1495840 Methyl alcohol CH3OHg 715070 722300 Methyl alcohol CH3OHl 710745 718000 Ethyl alcohol C2H5OHg 1348330 1363900 Ethyl alcohol C2H5OHl 1342085 1357700 aJ Ahrendts Die Exergie Chemisch Reaktionsfähiger Systeme VDIForschungsheft VDIVerlag Dusseldorf 579 1977 Also see Reference States EnergyThe International Journal 5 667677 1980 In Model I p₀ 1019 atm This model attempts to impose a criterion that the reference environment be in equilibrium The reference substances are determined assuming restricted chemical equilibrium for nitric acid and nitrates and unrestricted thermodynamic equilibrium for all other chemical components of the atmosphere the oceans and a portion of the Earths crust The chemical composition of the gas phase of this model approximates the composition of the natural atmosphere bJ Szargut D R Morris and F R Steward Exergy Analysis of Thermal Chemical and Metallurgical Processes Hemisphere New York 1988 In Model II p₀ 10 atm In developing this model a reference substance is selected for each chemical element from among substances that contain the element being considered and that are abundantly present in the natural environment even though the substances are not in completely mutual stable equilibrium An underlying rationale for this approach is that substances found abundantly in nature have little economic value On an overall basis the chemical composition of the exergy reference environment of Model II is closer than Model I to the composition of the natural environment but the equilibrium criterion is not always satisfied TABLE A27 Logarithms to the Base 10 of the Equilibrium Constant K Temp K H2 2H O2 2O N2 2N ½O2 ½N2 NO H2O H2 ½O2 H2O OH ½H2 CO2 CO ½O2 CO2 H2 CO H2O Temp R 298 71224 81208 159600 15171 40048 46054 45066 5018 537 500 40316 45880 92672 8783 22886 26130 25025 2139 900 1000 17292 19614 43056 4062 10062 11280 10221 0159 1800 1200 13414 15208 34754 3275 7899 8811 7764 0135 2160 1400 10630 12054 28812 2712 6347 7021 6014 0333 2520 1600 8532 9684 24350 2290 5180 5677 4706 0474 2880 1700 7666 8706 22512 2116 4699 5124 4169 0530 3060 1800 6896 7836 20874 1962 4270 4613 3693 0577 3240 1900 6204 7058 19410 1823 3886 4190 3267 0619 3420 2000 5580 6356 18092 1699 3540 3776 2884 0656 3600 2100 5016 5720 16898 1586 3227 3434 2539 0688 3780 2200 4502 5142 15810 1484 2942 3091 2226 0716 3960 2300 4032 4614 14818 1391 2682 2809 1940 0742 4140 2400 3600 4130 13908 1305 2443 2520 1679 0764 4320 2500 3202 3684 13070 1227 2224 2270 1440 0784 4500 2600 2836 3272 12298 1154 2021 2038 1219 0802 4680 2700 2494 2892 11580 1087 1833 1823 1015 0818 4860 2800 2178 2536 10914 1025 1658 1624 0825 0833 5040 2900 1882 2206 10294 0967 1495 1438 0649 0846 5220 3000 1606 1898 9716 0913 1343 1265 0485 0858 5400 3100 1348 1610 9174 0863 1201 1103 0332 0869 5580 3200 1106 1340 8664 0815 1067 0951 0189 0878 5760 3300 0878 1086 8186 0771 0942 0809 0054 0888 5940 3400 0664 0846 7736 0729 0824 0674 0071 0895 6120 3500 0462 0620 7312 0690 0712 0547 0190 0902 6300 Source Based on data from the JANAF Thermochemical Tables NSRDSNBS37 1971 Index to Tables in English Units TABLE A1E Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds 767 TABLE A2E Properties of Saturated Water LiquidVapor Temperature Table 768 TABLE A3E Properties of Saturated Water LiquidVapor Pressure Table 770 TABLE A4E Properties of Superheated Water Vapor 772 TABLE A5E Properties of Compressed Liquid Water 778 TABLE A6E Properties of Saturated Water SolidVapor Temperature Table 779 TABLE A7E Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table 780 TABLE A8E Properties of Saturated Refrigerant 22 LiquidVapor Pressure Table 781 TABLE A9E Properties of Superheated Refrigerant 22 Vapor 782 TABLE A10E Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table 786 TABLE A11E Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table 787 TABLE A12E Properties of Superheated Refrigerant 134 Vapor 788 TABLE A13E Properties of Saturated Ammonia LiquidVapor Temperature Table 791 TABLE A14E Properties of Saturated Ammonia LiquidVapor Pressure Table 792 TABLE A15E Properties of Superheated Ammonia Vapor 793 TABLE A16E Properties of Saturated Propane LiquidVapor Temperature Table 797 TABLE A17E Properties of Saturated Propane LiquidVapor Pressure Table 798 TABLE A18E Properties of Superheated Propane Vapor 799 TABLE A19E Properties of Selected Solids and Liquids cp ρ and κ 803 TABLE A20E Ideal Gas Specific Heats of Some Common Gases 804 TABLE A21E Variation of cp with Temperature for Selected Ideal Gases 805 TABLE A22E Ideal Gas Properties of Air 806 TABLE A23E Ideal Gas Properties of Selected Gases 808 TABLE A24E Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 812 TABLE A25E Thermochemical Properties of Selected Substances at 537R and 1 atm 813 TABLE A1E Atomic or Molecular Weights and Critical Properties of Some Selected Elements and Compounds Chemical M Tc pc Substance Formula lblbmol R atm Zc pcvc RTc Acetylene C2H2 2604 556 62 0274 Air equivalent 2897 239 372 0284 Ammonia NH3 1703 730 1113 0242 Argon Ar 3994 272 4797 0290 Benzene C6H6 7811 1013 487 0274 Butane C4H10 5812 765 375 0274 Carbon C 1201 Carbon dioxide CO2 4401 548 729 0276 Carbon monoxide CO 2801 239 345 0294 Copper Cu 6354 Ethane C2H6 3007 549 482 0285 Ethyl alcohol C2H5OH 4607 929 630 0249 Ethylene C2H4 2805 510 505 0270 Helium He 4003 933 226 0300 Hydrogen H2 2016 598 128 0304 Methane CH4 1604 344 458 0290 Methyl alcohol CH3OH 3204 924 785 0220 Nitrogen N2 2801 227 335 0291 Octane C8H18 11422 1025 246 0258 Oxygen O2 3200 278 498 0290 Propane C3H8 4409 666 421 0276 Propylene C3H6 4208 657 456 0276 Refrigerant 12 CCl2F2 12092 693 406 0278 Refrigerant 22 CHClF2 8648 665 491 0267 Refrigerant 134a CF3CH2F 10203 673 402 0260 Sulfur dioxide SO2 6406 775 777 0268 Water H2O 1802 1165 2180 0233 Sources Adapted from International Critical Tables and L C Nelson and E F Obert Generalized Compressibility Charts Chem Eng 617 203 1954 TABLE A2E Properties of Saturated Water LiquidVapor Temperature Table Temp F Press lbfin² Specific Volume ft³lb Internal Energy Btulb Enthalpy Btulb Entropy Btulb R Sat Liquid vℓ Sat Vapor vg Sat Liquid uℓ Sat Vapor ug Sat Liquid hℓ Evap hℓg Sat Vapor hg Sat Liquid sℓ Sat Vapor sg Temp F 32 00886 001602 3305 001 10212 001 10754 10754 000003 21870 32 35 00999 001602 2948 299 10222 300 10737 10767 000607 21764 35 40 01217 001602 2445 802 10239 802 10709 10789 001617 21592 40 45 01475 001602 2037 1304 10255 1304 10681 10811 002618 21423 45 50 01780 001602 1704 1806 10272 1806 10652 10833 003607 21259 50 52 01917 001603 1589 2006 10278 2007 10641 10842 004000 21195 52 54 02064 001603 1482 2207 10285 2207 10630 10851 004391 21131 54 56 02219 001603 1383 2408 10291 2408 10619 10859 004781 21068 56 58 02386 001603 1292 2608 10298 2608 10607 10868 005159 21005 58 60 02563 001604 1207 2808 10304 2808 10596 10877 005555 20943 60 62 02751 001604 1129 3009 10311 3009 10585 10886 005940 20882 62 64 02952 001604 1056 3209 10318 3209 10573 10894 006323 20821 64 66 03165 001604 9884 3409 10324 3409 10562 10903 006704 20761 66 68 03391 001605 9258 3609 10331 3609 10551 10912 007084 20701 68 70 03632 001605 8677 3809 10337 3809 10540 10920 007463 20642 70 72 03887 001606 8137 4009 10344 4009 10528 10929 007839 20584 72 74 04158 001606 7635 4209 10350 4209 10517 10938 008215 20526 74 76 04446 001606 7168 4409 10357 4409 10506 10947 008589 20469 76 78 04750 001607 6733 4609 10363 4609 10494 10955 008961 20412 78 80 05073 001607 6328 4808 10370 4809 10483 10964 009332 20356 80 82 05414 001608 5950 5008 10376 5008 10472 10973 009701 20300 82 84 05776 001608 5598 5208 10383 5208 10460 10981 01007 20245 84 86 06158 001609 5270 5408 10389 5408 10449 10990 01044 20190 86 88 06562 001609 4963 5607 10396 5607 10438 10999 01080 20136 88 90 06988 001610 4677 5807 10402 5807 10427 11007 01117 20083 90 92 07439 001611 4409 6006 10409 6006 10415 11016 01153 20030 92 94 07914 001611 4159 6206 10415 6206 10404 11024 01189 19977 94 96 08416 001612 3924 6405 10412 6406 10392 11033 01225 19925 96 98 08945 001612 3705 6605 10428 6605 10381 11042 01261 19874 98 100 09503 001613 3500 6804 10435 6805 10370 11050 01296 19822 100 110 1276 001617 2651 7802 10467 7802 10313 11093 01473 19574 110 120 1695 001621 2030 8799 10499 8800 10255 11135 01647 19336 120 130 2225 001625 1572 9797 10530 9798 10198 11178 01817 19109 130 140 2892 001629 1229 10795 10562 10796 10140 11219 01985 18892 140 150 3722 001634 970 11795 10593 11796 10081 11261 02150 18684 150 160 4745 001640 772 12794 10623 12796 10022 11301 02313 18484 160 170 5996 001645 620 13795 10654 13797 9962 11342 02473 18293 170 180 7515 001651 502 14797 10683 14799 9902 11382 02631 18109 180 190 9343 001657 410 15800 10713 15803 9841 11421 02787 17932 190 200 11529 001663 336 16804 10742 16807 9779 11459 02940 17762 200 TABLE A2E Continued Temp F Press lbfin² Specific Volume ft³lb Internal Energy Btulb Enthalpy Btulb Entropy Btulb R Sat Liquid vℓ Sat Vapor vg Sat Liquid uℓ Sat Vapor ug Sat Liquid hℓ Evap hℓg Sat Vapor hg Sat Liquid sℓ Sat Vapor sg Temp F 210 1413 001670 2782 1781 10770 1781 9716 11497 03091 17599 210 212 1470 001672 2680 1801 10776 1802 9703 11505 03121 17567 212 220 1719 001677 2315 1882 10798 1882 9653 11535 03241 17441 220 230 2078 001685 1939 1983 10826 1983 9588 11571 03388 17289 230 240 2497 001692 1633 2084 10853 2084 9523 11607 03534 17143 240 250 2982 001700 1383 2185 10879 2186 9456 11642 03677 17001 250 260 3542 001708 1177 2286 10905 2288 9388 11676 03819 16864 260 270 4185 001717 1007 2383 10930 2390 9320 11709 03960 16731 270 280 4918 001726 865 2490 10954 2492 9249 11741 04099 16602 280 290 5753 001735 747 2593 10977 2594 9178 11772 04236 16477 290 300 6698 001745 6472 2695 11000 2697 9104 11802 04372 16356 300 310 7764 001755 5632 2798 11021 2801 9030 11830 04507 16238 310 320 8960 001765 4919 2901 11042 2904 8953 11858 04640 16123 320 330 10300 001776 4312 3005 11062 3008 8875 11884 04772 16010 330 340 11793 001787 3792 3109 11080 3113 8795 11908 04903 15901 340 350 13453 001799 3346 3214 11098 3218 8713 11931 05033 15793 350 360 15292 001811 2961 3318 11114 3324 8629 11952 05162 15688 360 370 17323 001823 2628 3424 11129 3430 8542 11972 05289 15585 370 380 19560 001836 2339 3530 11143 3536 8454 11990 05416 15483 380 390 2202 001850 2087 3636 11156 3643 8362 12006 05542 15383 390 400 2471 001864 1866 3743 11166 3751 8268 12020 05667 15284 400 410 2765 001878 1673 3850 11176 3860 8172 12031 05792 15187 410 420 3085 001894 1502 3958 11183 3969 8072 12041 05915 15091 420 430 3433 001909 1352 4067 11189 4079 7969 12048 06038 14995 430 440 3812 001926 1219 4176 11193 4190 7863 12053 06161 14900 440 450 4221 001943 11011 4286 11195 4302 7754 12056 06282 14806 450 460 4663 001961 09961 4397 11196 4414 7641 12055 06404 14712 460 470 5141 001980 09025 4509 11194 4528 7524 12052 06525 14618 470 480 5655 002000 08187 4622 11189 4643 7403 12046 06646 14524 480 490 6207 002021 07436 4736 11183 4759 7278 12037 06767 14430 490 500 6800 002043 06761 4851 11174 4877 7148 12025 06888 14335 500 520 8114 002091 05605 5085 11148 5117 6873 11989 07130 14145 520 540 9615 002145 04658 5326 11110 5364 6575 11938 07374 13950 540 560 11318 002207 03877 5484 11058 5620 6250 11870 07620 13749 560 580 13243 002278 03225 5831 10989 5886 5893 11780 07872 13540 580 600 15410 002363 02677 6099 10900 6167 5497 11664 08130 13317 600 620 17844 002465 02209 6383 10785 6464 5050 11514 08398 13075 620 640 20571 002593 01805 6687 10632 6786 4534 11319 08681 12803 640 660 2362 002767 01446 7023 10423 7144 3911 11055 08990 12483 660 680 2705 003032 01113 7417 10110 7569 3098 10667 09350 12068 680 700 3090 003666 00744 8017 9477 8227 1675 9902 09902 11346 700 7054 3204 005053 005053 8726 8726 9025 0 9025 10580 10580 7054 Source Tables A2E through A6E are extracted from J H Keenan F G Keyes P G Hill and J G Moore Steam Tables Wiley New York 1969 Tables in English Units 770 TABLE A3E Properties of Saturated Water LiquidVapor Pressure Table Press lbfin2 Temp F Specific Volume ft3lb Internal Energy Btulb Enthalpy Btulb Entropy BtulbR Press lbfin2 H2O Sat Liquid vr Sat Vapor vg Sat Liquid ur Sat Vapor ug Sat Liquid hl Evap hig Sat Vapor hg Sat Liquid sr Sat Evap sig Sat Vapor sg 04 7284 001606 7920 4094 10347 4094 10523 10933 00800 19760 20559 04 06 8519 001609 5400 5326 10387 5327 10454 10986 01029 19184 20213 06 08 9435 001611 4117 6241 10417 6241 10402 11026 01195 18773 19968 08 10 10170 001614 3336 6974 10440 6974 10360 11058 01327 18453 19779 10 12 10788 001616 2809 7590 10460 7590 10325 11084 01436 18190 19626 12 15 11565 001619 2277 8365 10485 8365 10280 11117 01571 17867 19438 15 20 12604 001623 17375 9402 10518 9402 10221 11161 01750 17448 19198 20 30 14143 001630 11872 10938 10566 10939 10131 11225 02009 16852 18861 30 40 15293 001636 9064 12088 10602 12089 10064 11273 02198 16426 18624 40 50 16221 001641 7353 13015 10630 13017 10009 11310 02349 16093 18441 50 60 17003 001645 6198 13798 10654 13800 9962 11342 02474 15819 18292 60 70 17682 001649 5365 14478 10674 14480 9921 11369 02581 15585 18167 70 80 18284 001653 4735 15081 10692 15084 9884 11393 02675 15383 18058 80 90 18826 001656 4241 15625 10708 15627 9851 11414 02760 15203 17963 90 10 19319 001659 3842 16120 10722 16123 9821 11433 02836 15041 17877 10 14696 21199 001672 2680 18010 10776 18015 9704 11505 0321 14446 17567 14696 15 21303 001672 2629 18114 10779 18119 9697 11509 03137 14414 17551 15 20 22796 001683 2009 19619 10820 19626 9601 11564 03358 13962 17320 20 25 24008 001692 1631 20844 10853 20852 9522 11607 03535 13607 17142 25 30 25034 001700 1375 21884 10880 21893 9454 11643 03682 13314 16996 30 35 25930 001708 1190 22793 10903 22804 9393 11674 03809 13064 16873 35 40 26726 001715 1050 23603 10923 23616 9338 11700 03921 12845 16767 40 45 27446 001721 940 24337 10940 24351 9288 11723 04022 12651 16673 45 50 28103 001727 852 25008 10956 25024 9242 11744 04113 12476 16589 50 55 28710 001733 779 25628 10970 25646 9199 11763 04196 12317 16513 55 60 29273 001738 7177 2621 10983 2622 9158 11780 04273 12170 16443 60 65 29800 001743 6647 2675 10995 2677 9119 11796 04345 12035 16380 65 70 30296 001748 6209 2726 11006 2728 9083 11810 04412 11909 16321 70 75 30763 001752 5818 2774 11016 2776 9048 11824 04475 11790 16265 75 80 31207 001757 5474 2820 11026 2822 9014 11836 04534 11679 16213 80 85 31629 001761 5170 2863 11035 2866 8982 11848 04591 11574 16165 85 90 32031 001766 4898 2905 11043 2908 8951 11859 04644 11475 16119 90 95 32416 001770 4654 2945 11050 2948 8921 11869 04695 11380 16075 95 100 32786 001774 4434 2986 11058 2986 8892 11878 04744 11290 16034 100 110 33482 001781 4051 3055 11071 3059 8837 11896 04836 11122 15958 110 120 34130 001789 3730 3123 11083 3127 8785 11911 04920 10966 15886 120 130 34737 001796 3457 3186 11094 3190 8735 11925 04999 10822 15821 130 140 35308 001802 3221 3246 11103 3251 8687 11938 05073 10688 15761 140 150 35848 001809 3016 3302 11112 3308 8642 11949 05142 10562 15704 150 160 36360 001815 2836 3356 11120 3362 8598 11960 05208 10443 15651 160 Tables in English Units 771 TABLE A3E Continued Specific Volume ft3lb Internal Energy Btulb Enthalpy Btulb Entropy BtulbR Press lbfin2 Temp F Sat Liquid vr Sat Vapor vg Sat Liquid ur Sat Vapor ug Sat Liquid hl Evap hig Sat Vapor hg Sat Liquid sr Sat Evap sig Sat Vapor sg Press lbfin2 H2O 170 36847 001821 2676 3408 11127 3413 8556 11969 05270 10330 15600 170 180 37313 001827 2553 3457 11134 3463 8515 11978 05329 10223 15552 180 190 37759 001833 2405 3504 11140 3510 8475 11986 05386 10122 15508 190 200 38186 001839 2289 3549 11146 3556 8437 11993 05440 10025 15465 200 250 40104 001865 1845 3754 11167 3762 8258 12021 05680 09594 15274 250 300 41743 001890 1544 3930 11182 3941 8098 12039 05883 09232 15115 300 350 43182 001912 1327 4087 11190 4099 7950 12049 06060 08917 14977 350 400 44470 001934 1162 4228 11195 4242 7812 12055 06218 08638 14856 400 450 45639 001955 1033 4357 11196 4374 7682 12056 06360 08385 14745 450 500 46713 001975 0928 4477 11194 4495 7558 12053 06490 08154 14644 500 550 47707 001994 0842 4589 11191 4609 7439 12048 06611 07941 14451 550 600 48633 002013 0770 4694 11186 4717 7324 12041 06723 07742 14464 600 700 50323 002051 0656 4889 11170 4915 7105 12020 06927 07378 14305 700 800 51836 002087 0569 5066 11150 5097 6896 11993 07110 07050 14160 800 900 53212 002123 0501 5230 11126 5266 6695 11960 07277 06750 14027 900 1000 54475 002159 0446 5384 11099 5424 6500 11924 07432 06471 13903 1000 1100 55645 002195 0401 5529 11068 5574 6310 11883 07576 06209 13786 1100 1200 56737 002232 0362 5667 11035 5717 6123 11839 07712 05961 13673 1200 1300 57760 002269 0330 5799 10998 5854 5938 11792 07841 05724 13565 1300 1400 58725 002307 0302 5927 10960 5986 5755 11741 07964 05497 13461 1400 1500 59639 002346 0277 6050 10918 6115 5572 11687 08082 05276 13359 1500 1600 60506 002386 0255 6169 10874 6240 5389 11629 08196 05062 13258 1600 1700 61332 002428 0236 6286 10827 6362 5206 11569 08307 04852 13159 1700 1800 62121 002472 0218 6400 10777 6483 5021 11504 08414 04645 13060 1800 1900 62876 002517 0203 6513 10723 6601 4834 11435 08519 04441 12961 1900 2000 63600 002565 0188 6624 10666 6719 4644 11363 08623 04238 12861 2000 2250 65290 002698 0157 6899 10506 7011 4148 11159 08876 03728 12604 2250 2500 66831 002860 0131 7177 10310 7309 3605 10914 09131 03196 12327 2500 2750 68246 003077 0107 7473 10059 7630 2974 10604 09401 02604 12005 2750 3000 69552 003431 0084 7834 9688 8025 2130 10155 09732 01843 11575 3000 32036 70544 005053 00505 8726 8726 9025 0 9025 10580 0 10580 32036 772 Tables in English Units TABLE A4E Properties of Superheated Water Vapor T v u h s v u h s F ft3lb Btulb Btulb BtulbR ft3lb Btulb Btulb BtulbR p 1 lbfin2 Tsat 1017F p 5 lbfin2 Tsat 1622F Sat 3336 10440 11058 19779 7353 10630 11310 18441 150 3626 10604 11275 20151 200 3925 10775 11501 20508 7815 10760 11486 18715 250 4224 10947 11728 20839 8421 10938 11717 19052 300 4523 11120 11957 21150 9024 11113 11948 19367 400 5119 11470 12418 21720 10224 11466 12412 19941 500 5715 11828 12885 22235 11420 11825 12882 20458 600 6311 12193 13361 22706 12615 12191 13358 20930 700 6907 12567 13845 23142 13808 12565 13843 21367 800 7503 12944 14337 23550 15001 12947 14335 21775 900 8099 13339 14838 23932 16194 13338 14837 22158 1000 8695 13739 15348 24294 17386 13739 15347 22520 p 10 lbfin2 Tsat 1932F p 147 lbfin2 Tsat 2120F Sat 3842 10722 11433 17877 2680 10776 11505 17567 200 3885 10747 11466 17927 250 4195 10926 11702 18272 2842 10915 11688 17832 300 4499 11104 11937 18592 3052 11096 11926 18157 400 5103 11461 12405 19171 3467 11456 12399 18741 500 5704 11822 12877 19690 3877 11818 12873 19263 600 6303 12189 13355 20164 4286 12186 13352 19737 700 6901 12563 13840 20601 4693 12561 13838 20175 800 7498 12946 14333 21009 5100 12944 14331 20584 900 8095 13337 14835 21393 5507 13336 14834 20967 1000 8691 13738 15346 21755 5913 13737 15345 21330 1100 9288 14147 15866 22099 6319 14146 15864 21674 p 20 lbfin2 Tsat 2280F p 40 lbfin2 Tsat 2673F Sat 2009 10820 11564 17320 1050 10933 11700 16767 250 2079 10903 11672 17475 300 2236 11087 11915 17805 1104 11051 11868 16993 350 2390 11269 12154 18110 1184 11242 12118 17312 400 2543 11451 12392 18395 1262 11430 12364 17606 500 2846 11815 12868 18919 1416 11801 12849 18140 600 3147 12184 13348 19395 1569 12173 13334 18621 700 3447 12559 13835 19834 1720 12551 13824 19063 800 3746 12943 14329 20243 1870 12937 14321 19474 900 4045 13335 14832 20627 2020 13330 14825 19859 1000 4344 13735 15343 20989 2170 13731 15338 20223 1100 4642 14145 15863 21334 2320 14142 15859 20568 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 60 lbfin² Tsat 2927F p 80 lbfin² Tsat 3121F Sat 717 10983 11780 16444 547 11026 11836 16214 300 726 11013 11819 16496 350 782 11214 12082 16830 580 11185 12043 16476 400 835 11408 12335 17134 622 11385 12306 16790 500 940 11786 12830 17678 702 11772 12811 17346 600 1043 12163 13321 18165 779 12153 13307 17838 700 1144 12544 13814 18609 856 12536 13803 18285 800 1245 12930 14312 19022 932 12924 14304 18700 900 1345 13325 14818 19408 1008 13320 14812 19087 1000 1445 13727 15332 19773 1083 13723 15326 19453 1100 1545 14138 15854 20119 1158 14135 15849 19799 1200 1645 14558 16385 20448 1233 14555 16381 20130 p 100 lbfin² Tsat 3278F p 120 lbfin² Tsat 3413F Sat 4434 11058 11878 16034 3730 11083 11911 15886 350 4592 11154 12004 16191 3783 11122 11962 15950 400 4934 11362 12275 16517 4079 11338 12244 16288 450 5265 11562 12536 16812 4360 11543 12512 16590 500 5587 11757 12791 17085 4633 11742 12771 16868 600 6216 12142 13293 17582 5164 12132 13278 17371 700 6834 12528 13792 18033 5682 12520 13782 17825 800 7445 12918 14296 18449 6195 12912 14287 18243 900 8053 13315 14805 18838 6703 13309 14798 18633 1000 8657 13719 15321 19204 7208 13715 15315 19000 1100 9260 14131 15845 19551 7711 14128 15840 19348 1200 9861 14552 16377 19882 8213 14549 16373 19679 p 140 lbfin² Tsat 3531F p 160 lbfin² Tsat 3636F Sat 3221 11103 11938 15761 2836 11120 11960 15651 400 3466 11314 12212 16088 3007 11288 12178 15911 450 3713 11524 12486 16399 3228 11505 12461 16230 500 3952 11727 12751 16682 3440 11712 12730 16518 550 4184 11925 13009 16945 3646 11913 12992 16785 600 4412 12121 13264 17191 3848 12111 13250 17034 700 4860 12512 13771 17648 4243 12504 13760 17494 800 5301 12905 14279 18068 4631 12899 14270 17916 900 5739 13304 14791 18459 5015 13299 14784 18308 1000 6173 13710 15310 18827 5397 13706 15304 18677 1100 6605 14124 15836 19176 5776 14121 15831 19026 1200 7036 14546 16369 19507 6154 14543 16365 19358 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 180 lbfin² Tsat 3731F p 200 lbfin² Tsat 3818F Sat 2533 11134 11978 15553 2289 11146 11993 15464 400 2648 11262 12144 15749 2361 11235 12108 15600 450 2850 11485 12434 16078 2548 11464 12407 15938 500 3042 11696 12709 16372 2724 11680 12688 16239 550 3228 11900 12975 16642 2893 11887 12957 16512 600 3409 12100 13235 16893 3058 12089 13221 16767 700 3763 12496 13749 17357 3379 12488 13738 17234 800 4110 12893 14262 17781 3693 12886 14253 17660 900 4453 13294 14777 18174 4003 13289 14771 18055 1000 4793 13702 15298 18545 4310 13698 15293 18425 1100 5131 14117 15826 18894 4615 14114 15822 18776 1200 5467 14540 16361 19227 4918 14537 16357 19109 p 250 lbfin² Tsat 4010F p 300 lbfin² Tsat 4174F Sat 1845 11167 12021 15274 1544 11182 12039 15115 450 2002 11411 12337 15632 1636 11354 12262 15365 500 2150 11638 12633 15948 1766 11595 12575 15701 550 2290 11853 12913 16233 1888 11819 12867 15997 600 2426 12061 13183 16494 2004 12032 13145 16266 700 2688 12467 13711 16970 2227 12440 13683 16751 800 2943 12870 14232 17301 2442 12854 14210 17187 900 3193 13276 14753 17799 2653 13263 14736 17589 1000 3440 13687 15279 18172 2860 13677 15265 17964 1100 3685 14105 15810 18524 3066 14096 15798 18317 1200 3929 14530 16348 18858 3270 14522 16338 18653 1300 4172 14963 16893 19177 3473 14956 16884 18973 p 350 lbfin² Tsat 4318F p 400 lbfin² Tsat 4447F Sat 1327 11190 12049 14978 1162 11195 12055 14856 450 1373 11292 12182 15125 1175 11226 12095 14901 500 1491 11549 12515 15482 1284 11501 12452 15282 550 1600 11783 12819 15790 1383 11746 12770 15605 600 1703 12003 13106 16068 1476 11973 13066 15892 700 1898 12425 13654 16562 1650 12404 13625 16397 800 2085 12838 14188 17004 1816 12821 14166 16844 900 2267 13250 14718 17409 1978 13237 14701 17252 1000 2446 13666 15250 17787 2136 13655 15236 17632 1100 2624 14087 15786 18142 2292 14078 15774 17989 1200 2799 14515 16328 18478 2446 14507 16218 18327 1300 2974 14950 16876 18799 2599 14943 16868 18648 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 450 lbfin² Tsat 4564F p 500 lbfin² Tsat 4671F Sat 1033 11196 12056 14746 0928 11194 12053 14645 500 1123 11451 12385 15097 0992 11397 12315 14923 550 1215 11707 12719 15436 1079 11667 12666 15279 600 1300 11943 13025 15732 1158 11911 12983 15585 700 1458 12382 13596 16248 1304 12360 13567 16112 800 1608 12805 14144 16701 1441 12788 14121 16571 900 1752 13224 14683 17113 1572 13210 14665 16987 1000 1894 13644 15222 17495 1701 13633 15207 17371 1100 2034 14069 15763 17853 1827 14060 15751 17731 1200 2172 14500 16308 18192 1952 14492 16298 18072 1300 2308 14937 16859 18515 2075 14931 16851 18395 1400 2444 15381 17417 18823 2198 15376 17410 18704 p 600 lbfin² Tsat 4863F p 700 lbfin² Tsat 5032F Sat 0770 11186 12041 14464 0656 11170 12020 14305 500 0795 11280 12162 14592 0728 11490 12432 14723 550 0875 11582 12554 14990 600 0946 11845 12895 15320 0793 11775 12802 15081 700 1073 12315 13506 15872 0907 12269 13444 15661 800 1190 12754 14076 16343 1011 12720 14029 16145 900 1302 13184 14629 16766 1109 13156 14593 16576 1000 1411 13612 15178 17155 1204 13589 15149 16970 1100 1517 14042 15727 17519 1296 14024 15702 17337 1200 1622 14477 16278 17861 1387 14462 16258 17682 1300 1726 14917 16834 18186 1476 14904 16817 18009 1400 1829 15365 17395 18497 1565 15353 17381 18321 p 800 lbfin² Tsat 5183F p 900 lbfin² Tsat 5321F Sat 0569 11150 11993 14160 0501 11126 11960 14027 550 0615 11388 12299 14469 0527 11275 12152 14219 600 0677 11701 12704 14861 0587 11622 12600 14652 650 0732 11972 13056 15186 0639 11911 12975 14999 700 0783 12221 13380 15471 0686 12171 13314 15297 800 0876 12685 13982 15969 0772 12649 13934 15810 900 0964 13129 14556 16408 0851 13101 14519 16257 1000 1048 13567 15119 16807 0927 13545 15089 16662 1100 1130 14005 15678 17178 1001 13987 15654 17036 1200 1210 14446 16238 17526 1073 14430 16217 17386 1300 1289 14891 16800 17854 1144 14878 16873 17717 1400 1367 15342 17366 18167 1214 15330 17351 18031
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Texto de pré-visualização
Uma turbina a vapor de água possui uma válvula redutora de pressão na sua admissão para realizar o controle de carga conforme é mostrado na figura 1 2 T1 P1 ṁ1 Ṫ3 x3 3 Uma turbina a vapor de água possui uma válvula redutora de pressão na sua admissão para realizar o controle de carga conforme é mostrado na figura Para uma dada condição de operação em regime permanente na entrada da válvula os parâmetros do vapor são P1 160 bar T1 560 C e 100 th na saída da turbina o vapor encontrase a temperatura T3 45 C com um título no valor de x3 8652 Se o rendimento isentrópico da turbina é 88 e todos os equipamentos e tubulações se encontram isolados termicamente e podem ser desprezadas as variações de energia cinética e potencial considerando o ambiente de referência da água a T0 25 C calcule Calcule a potência gerada na turbina em kW Calcule a irreversibilidade na válvula em kW rendimento exergético da turbina As irreversibilidades na turbina em kW Responder 1 33472 kW Responder 2 99864 kW Responder 3 8868 Responder 4 427680 kW Index to Tables in SI Units TABLE A1 Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds 719 TABLE A2 Properties of Saturated Water LiquidVapor Temperature Table 720 TABLE A3 Properties of Saturated Water LiquidVapor Pressure Table 722 TABLE A4 Properties of Superheated Water Vapor 724 TABLE A5 Properties of Compressed Liquid Water 728 TABLE A6 Properties of Saturated Water SolidVapor Temperature Table 729 TABLE A7 Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table 730 TABLE A8 Properties of Saturated Refrigerant 22 LiquidVapor Pressure Table 731 TABLE A9 Properties of Superheated Refrigerant 22 Vapor 732 TABLE A10 Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table 736 TABLE A11 Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table 737 TABLE A12 Properties of Superheated Refrigerant 134a Vapor 738 TABLE A13 Properties of Saturated Ammonia LiquidVapor Temperature Table 741 TABLE A14 Properties of Saturated Ammonia LiquidVapor Pressure Table 742 TABLE A15 Properties of Superheated Ammonia Vapor 743 TABLE A16 Properties of Saturated Propane LiquidVapor Temperature Table 747 TABLE A17 Properties of Saturated Propane LiquidVapor Pressure Table 748 TABLE A18 Properties of Superheated Propane Vapor 749 TABLE A19 Properties of Selected Solids and Liquids cp ρ and κ 753 TABLE A20 Ideal Gas Specific Heats of Some Common Gases 754 TABLE A21 Variation of cp with Temperature for Selected Ideal Gases 755 TABLE A22 Ideal Gas Properties of Air 756 TABLE A23 Ideal Gas Properties of Selected Gases 758 TABLE A24 Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 762 TABLE A25 Thermochemical Properties of Selected Substances at 298 K and 1 atm 763 TABLE A26 Standard Molar Chemical Exergy ech kJkmol of Selected Substances at 298 K and p0 764 TABLE A27 Logarithms to the Base 10 of the Equilibrium Constant K 765 722 Tables in SI Units TABLE A3 Properties of Saturated Water LiquidVapor Pressure Table H2O Pressbar Temp CSpecific Volume m3kgInternal Energy kJkgEnthalpy kJkgEntropy kJkg K Pressbar SatLiquidvƒ 103SatVaporvgSatLiquidufSatVaporugSatLiquidhfEvaphfgSatVaporhgSatLiquidsfSatVaporsg 004 2896 10040 34800 12145 24152 12146 24329 25544 04226 84746 004 006 3616 10064 23739 15153 24250 15153 24159 25674 05210 83304 006 008 4151 10084 18103 17387 24322 17388 24031 25770 05926 82287 008 010 4581 10102 14674 19182 24379 19183 23928 25847 06493 81502 010 020 6006 10172 7649 25138 24567 25140 23583 26097 08320 79085 020 030 6910 10223 5229 28920 24684 28923 23361 26253 09439 77686 030 040 7587 10265 3993 31753 24770 31758 23192 26368 10259 76700 040 050 8133 10300 3240 34044 24839 34049 23054 26459 10910 75939 050 060 8594 10331 2732 35979 24896 35986 22936 26535 11453 75320 060 070 8995 10360 2365 37663 24945 37670 22833 26600 11919 74797 070 080 9350 10380 2087 39158 24988 39166 22741 26658 12329 74346 080 090 9671 10410 1869 40506 25026 40515 22657 26709 12695 73949 090 100 9963 10432 1694 41736 25061 41746 22580 26755 13026 73594 100 150 1114 10528 1159 46694 25197 46711 22265 26936 14336 72233 150 200 1202 10605 08857 50449 25295 50470 22019 27067 15301 71271 200 250 1274 10672 07187 53510 25372 53537 21815 27169 16072 70527 250 300 1336 10732 06058 56115 25436 56147 21638 27253 16718 69919 300 350 1389 10786 05243 58395 25469 58433 21481 27324 17275 69405 350 400 1436 10836 04625 60431 25536 60474 21338 27386 17766 68959 400 450 1479 10882 04140 62225 25576 62325 21207 27439 18207 68565 450 500 1519 10926 03749 63968 25612 64023 21085 27487 18607 68212 500 600 1589 11006 03157 66990 25674 67056 20863 27568 19312 67600 600 700 1650 11080 02729 69644 25725 69722 20663 27635 19922 67080 700 800 1704 11148 02404 72022 25768 72111 20480 27691 20462 66628 800 900 1754 11212 02150 74183 25805 74283 20311 27739 20946 66226 900 100 1799 11273 01944 76168 25836 76281 20153 27781 21387 65863 100 150 1983 11539 01318 84316 25945 84484 19473 27922 23150 64448 150 200 2124 11767 009963 90644 26003 90879 18907 27995 24474 63409 200 250 2240 11973 007998 95911 26031 96211 18410 28031 25547 62575 250 300 2339 12165 006668 10048 26041 10084 17957 28042 26457 61869 300 350 2426 12347 005707 10454 26037 10498 17537 28034 27253 61253 350 400 2504 12522 004978 10823 26023 10873 17141 28014 27964 60701 400 450 2575 12692 004406 11162 26001 11219 16764 27983 28610 60199 450 500 2640 12859 003944 11478 25971 11542 16401 27943 29202 59734 500 600 2756 13187 003244 12054 25897 12134 15710 27843 30267 58892 600 700 2859 13513 002737 12576 25805 12670 15051 27721 31211 58133 700 800 2951 13842 002352 13056 25698 13166 14413 27580 32068 57432 800 900 3034 14178 002048 13505 25578 13633 13789 27421 32858 56772 900 100 3111 14524 001803 13930 25444 14076 13171 27247 33596 56141 100 110 3182 14886 001599 14337 25298 14501 12555 27056 34295 55527 110 723 Tables in SI Units TABLE A3 Continued H2O Pressbar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Pressbar SatLiquidvƒ 103 SatVaporvg SatLiquiduf SatVaporug SatLiquidhf Evaphfg SatVaporhg SatLiquidsf SatVaporsg 120 3248 15267 001426 14730 25137 14913 11936 26849 34962 54924 120 130 3309 15671 001278 15111 24961 15315 11307 26622 35606 54323 130 140 3368 16107 001149 15486 24768 15711 10665 26376 36232 53717 140 150 3422 16581 001034 15856 24555 16105 10000 26105 36848 53098 150 160 3474 17107 0009306 16227 24317 16501 9306 25806 37461 52455 160 170 3524 17702 0008364 16602 24050 16903 8569 25472 38079 51777 170 180 3571 18397 0007489 16989 23743 17320 7771 25091 38715 51044 180 190 3615 19243 0006657 17399 23381 17765 6880 24645 39388 50228 190 200 3658 2036 0005834 17856 22930 18263 5834 24097 40139 49269 200 2209 3741 3155 0003155 20296 20296 20993 0 20993 44298 44298 2209 724 Tables in SI Units TABLE A4 Properties of Superheated Water Vapor H2O T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 006 bar 0006 MPa Tsat 3616C p 035 bar 0035 MPa Tsat 7269C Sat 23739 24250 25674 83304 4526 24730 26314 77158 80 27132 24873 26501 85804 4625 24837 26456 77564 120 30219 25447 27260 87840 5163 25424 27231 79644 160 33302 26027 28025 89693 5696 26012 28006 81519 200 36383 26614 28797 91398 6228 26604 28784 83237 240 39462 27210 29578 92982 6758 27203 29568 84828 280 42540 27815 30368 94464 7287 27809 30360 86314 320 45618 28430 31167 95859 7815 28425 31161 87712 360 48696 29055 31977 97180 8344 29051 31971 89034 400 51774 29690 32796 98435 8872 29686 32792 90291 440 54851 30335 33626 99633 9400 30332 33622 91490 500 59467 31323 34891 101336 10192 31321 34888 93194 p 070 bar 007 MPa Tsat 8995C p 10 bar 010 MPa Tsat 9963C Sat 2365 24945 26600 74797 1694 25061 26755 73594 100 2434 25097 26800 75341 1696 25067 26762 73614 120 2571 25397 27196 76375 1793 25373 27166 74668 160 2841 25994 27982 78279 1984 25978 27962 76597 200 3108 26591 28767 80012 2172 26581 28753 78343 240 3374 27193 29555 81611 2359 27185 29545 79949 280 3640 27802 30350 83162 2546 27796 30342 81445 320 3905 28420 31153 84504 2732 28415 31146 82849 360 4170 29046 31965 85828 2917 29042 31959 84175 400 4434 29682 32786 87086 3103 29679 32782 85435 440 4698 30329 33618 88286 3288 30326 33614 86636 500 5095 31318 34885 89991 3565 31316 34881 88342 p 15 bar 015 MPa Tsat 11137C p 30 bar 030 MPa Tsat 13355C Sat 1159 25197 26936 72233 0606 25436 27253 69919 120 1188 25333 27114 72693 160 1317 25952 27928 74665 0651 25871 27823 71276 200 1444 26562 28729 76433 0716 26507 28655 73115 240 1570 27172 29527 78052 0781 27131 29473 74774 280 1695 27786 30328 79555 0844 27754 30286 76299 320 1819 28406 31135 80964 0907 28381 31101 77722 360 1943 29035 31950 82293 0969 29014 31922 79061 400 2067 29673 32774 83555 1032 29656 32750 80330 440 2191 30321 33607 84757 1094 30306 33587 81538 500 2376 31312 34876 86466 1187 31300 34860 83251 600 2685 33017 37043 89101 1341 33008 37032 85892 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 50 bar 050 MPa p 70 bar 070 MPa Tsat 15186C Tsat 16497C Sat 03749 25612 27487 68213 02729 25725 27635 67080 180 04045 26097 28120 69656 02847 25998 27991 67880 200 04249 26429 28554 70592 02999 26348 28448 68865 240 04646 27076 29399 72307 03292 27018 29322 70641 280 05034 27712 30229 73865 03574 27669 30171 72233 320 05416 28347 31056 75308 03852 28313 31009 73697 360 05796 28987 31884 76660 04126 28958 31847 75063 400 06173 29632 32719 77938 04397 29609 32687 76350 440 06548 30286 33560 79152 04667 30266 33533 77571 500 07109 31284 34839 80873 05070 31268 34817 79299 600 08041 32996 37017 83522 05738 32985 37002 81956 700 08969 34775 39259 85952 06403 34766 39248 84391 p 100 bar 10 MPa p 150 bar 15 MPa Tsat 17991C Tsat 19832C Sat 01944 25836 27781 65865 01318 25945 27922 64448 200 02060 26219 28279 66940 01325 25981 27968 64546 240 02275 26929 29204 68817 01483 26769 28993 66628 280 02480 27602 30082 70465 01627 27486 29927 68381 320 02678 28261 30939 71962 01765 28711 30819 69938 360 02873 28916 31789 73349 01899 28844 31692 71363 400 03066 29573 32639 74651 02030 29513 32558 72690 440 03257 30236 33493 75883 02160 30185 33425 73940 500 03541 31244 34785 77622 02352 31203 34731 75698 540 03729 31926 35656 78720 02478 31891 35609 76805 600 04011 32968 36979 80290 02668 32939 36940 78385 640 04198 33674 37872 81290 02793 33648 37838 79391 p 200 bar 20 MPa p 300 bar 30 MPa Tsat 21242C Tsat 23390C Sat 00996 26003 27995 63409 00667 26041 28042 61869 240 01085 26596 28765 64952 00682 26197 28243 62265 280 01200 27364 29764 66828 00771 27099 29413 64462 320 01308 28079 30695 68452 00850 27884 30434 66245 360 01411 28770 31593 69917 00923 28617 31387 67801 400 01512 29452 32476 71271 00994 29328 32309 69212 440 01611 30134 33355 72540 01062 30029 33215 70520 500 01757 31162 34676 74317 01162 31080 34565 72338 540 01853 31856 35561 75434 01227 31784 35466 73474 600 01996 32909 36901 77024 01324 32850 36823 75085 640 02091 33622 37804 78035 01388 33570 37735 76106 700 02232 34709 39174 79487 01484 34665 39117 77571 Tables in SI Units 726 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 40 bar 40 MPa p 60 bar 60 MPa Tsat 2504C Tsat 27564C Sat 004978 26023 28014 60701 003244 25897 27843 58892 280 005546 26800 29018 62568 003317 26052 28042 59252 320 006199 27674 30154 64553 003876 27200 29526 61846 360 006788 28457 31172 66215 004331 28112 30711 63782 400 007341 29199 32136 67690 004739 28929 31772 65408 440 007872 29922 33071 69041 005122 29700 32773 66853 500 008643 30995 34453 70901 005665 30822 34222 68803 540 009145 31711 35369 72056 006015 31561 35170 69999 600 009885 32791 36744 73688 006525 32669 36584 71677 640 01037 33518 37666 74720 006859 33410 37526 72731 700 01110 34621 39059 76198 007352 34531 38941 74234 740 01157 35366 39996 77141 007677 35283 39892 75190 p 80 bar 80 MPa p 100 bar 100 MPa Tsat 29506C Tsat 31106C Sat 002352 25698 27580 57432 001803 25444 27247 56141 320 002682 26627 28772 59489 001925 25888 27813 57103 360 003089 27727 30198 61819 002331 27291 29621 60060 400 003432 28638 31383 63634 002641 28324 30965 62120 440 003742 29467 32461 65190 002911 29221 32132 63805 480 004034 30257 33484 66586 003160 30054 33214 65282 520 004313 31027 34477 67871 003394 30856 34251 66622 560 004582 31787 35453 69072 003619 31641 35260 67864 600 004845 32544 36420 70206 003837 32417 36253 69029 640 005102 33301 37383 71283 004048 33189 37237 70131 700 005481 34439 38824 72812 004358 34347 38705 71687 740 005729 35204 39787 73782 004560 35121 39681 72670 p 120 bar 120 MPa p 140 bar 140 MPa Tsat 32475C Tsat 33675C Sat 001426 25137 26849 54924 001149 24768 26376 53717 360 001811 26784 28957 58361 001422 26174 28165 56602 400 002108 27983 30513 60747 001722 27609 30019 59448 440 002355 28961 31787 62586 001954 28686 31422 61474 480 002576 29844 32935 64154 002157 29625 32645 63143 520 002781 30680 34018 65555 002343 30498 33778 64610 560 002977 31490 35062 66840 002517 31336 34860 65941 600 003164 32287 36083 68037 002683 32154 35911 67172 640 003345 33075 37090 69164 002843 32960 36941 68326 700 003610 34252 38584 70749 003075 34157 38462 69939 740 003781 35037 39574 71746 003225 34952 39467 70952 TABLE A4 Continued T v u h s v u h s C m3kg kJkg kJkg kJkgK m3kg kJkg kJkg kJkgK p 160 bar 160 MPa p 180 bar 180 MPa Tsat 34744C Tsat 35706C Sat 000931 24317 25806 52455 000749 23743 25091 51044 360 001105 25390 27158 54614 000809 24189 25645 51922 400 001426 27194 29476 58175 001190 26728 28870 56887 440 001652 28394 31037 60429 001414 28082 30628 59428 480 001842 29397 32344 62215 001596 29159 32032 61345 520 002013 30311 33533 63752 001757 30118 33780 62960 560 002172 31178 34654 65132 001904 31017 34444 64392 600 002323 32018 35735 66399 002042 31880 35556 65696 640 002467 32842 36789 67580 002174 32723 36636 66905 700 002674 34060 38339 69224 002362 33963 38215 68580 740 002808 34867 39359 70251 002483 34780 39250 69623 p 200 bar 200 MPa p 240 bar 240 MPa Tsat 36581C Sat 000583 22930 24097 49269 000673 24778 26394 52393 400 000994 26193 28181 55540 000929 27006 29234 56506 440 001222 27749 30194 58450 480 001399 28912 31708 60518 001100 28383 31023 58950 520 001551 29920 33022 62218 001241 29505 32485 60842 560 001689 30852 34230 63705 001366 30511 33790 62448 600 001818 31740 35376 65048 001481 31452 35007 63875 640 001940 32602 36481 66286 001588 32355 36167 65174 700 002113 33864 38090 67993 001739 33664 37838 66947 740 002224 34693 39141 69052 001835 34517 38921 68038 800 002385 35927 40697 70544 001974 35780 40516 69567 p 280 bar 280 MPa p 320 bar 320 MPa 400 000383 22235 23307 47494 000236 19804 20559 43239 440 000712 26132 28126 54494 000544 25090 26830 52327 480 000885 27808 30285 57446 000722 27181 29492 55968 520 001020 29068 31923 59566 000853 28607 31337 58357 560 001136 30157 33337 61307 000963 29790 32872 60246 600 001241 31156 34630 62823 001061 30853 34246 61858 640 001338 32103 35848 64187 001150 31845 35525 63290 700 001473 33461 37584 66029 001273 33254 37328 65203 740 001558 34339 38700 67153 001350 34159 38478 66361 800 001680 35631 40334 68720 001460 35480 40151 67966 900 001873 37743 42988 71084 001633 37627 42851 70372 TABLE A5 Properties of Compressed Liquid Water T C 20 40 80 100 140 180 200 220 Sat 20 40 80 100 140 180 220 260 Sat 20 40 100 200 300 Sat 10006 10067 10280 10423 10784 11261 11555 11898 11973 09984 10045 10256 10397 10752 11219 11835 12696 13677 09950 10013 10222 10361 10707 11159 11748 12550 13770 16581 09907 09971 10313 11344 13442 8380 16725 33429 41824 58782 76116 8499 9407 9591 8350 16664 33315 41681 58572 75813 9362 11244 12820 8306 16576 33148 41474 58266 75376 9299 11146 13166 15856 8247 16460 41208 8345 12966 2961 5715 10737 13050 17369 21375 23294 25174 25546 2950 5696 10704 13011 17317 21308 25083 28763 31649 2934 5666 10656 12955 17242 21210 24953 28576 32260 36848 2911 5626 12881 22961 31900 8365 16695 33372 41752 58676 75963 8481 9384 11478 8336 16635 33259 41612 58468 75665 9341 11211 13930 8277 16517 33040 41339 58069 75095 9259 11086 13061 17856 8217 16404 41078 8314 12879 u kJkg h kJkg s kJkgK u kJkg h kJkg s kJkgK 8630 16977 33686 42085 59052 76397 8528 9437 9621 9099 17418 34084 42462 59378 76655 9451 11340 12922 9799 18078 34681 43028 59872 77050 9475 11334 13373 16105 10724 18952 43785 8628 13302 h kJkg s kJkgK 8865 17197 33885 42272 59215 76525 8539 9444 11542 9333 17638 34283 42650 59542 76784 9459 11337 14076 18263 10262 18516 35080 43406 60204 77320 9493 11335 13333 11184 19389 44166 8653 13278 s kJkgK 2956 5705 10720 13030 17343 21341 23255 25128 29202 2945 5686 10688 12992 17292 21275 25039 28699 33596 40139 2923 5646 10624 12917 17193 21147 24870 28459 32071 2899 5607 12844 22893 31741 TABLE A6 Properties of Saturated Water SolidVapor Temperature Table Temp C 2 4 8 10 16 18 20 22 26 28 30 Pressure kPa 61130 51760 43750 36890 26020 21760 15100 12520 10350 8523 7010 Specific Volume m3kg 10098 10094 10091 10089 10888 10878 10874 10868 10861 10858 10854 Internal Energy kJkg 33340 33762 34178 34591 35409 35814 36115 36614 37103 37793 38180 Enthalpy kJkg 28348 28376 28370 28394 28447 28393 28387 28390 28391 28390 28389 Entropy kJkgK 10378 10456 10616 10898 10781 10865 10950 11036 11123 11212 11302 Sat Solid 1221 1237 1253 1268 1299 1315 1331 1346 1362 1377 1393 Sat Vapor 25014 25103 24940 24963 24829 24792 24755 24718 24681 24643 24606 Vapor 9156 9157 9219 9283 9348 9414 9481 9550 9619 9690 9762 SubL sig sig sig sig sig sig sig sig sig sig sig Vapor 1221 1237 1253 1268 1299 1315 1331 1346 1362 1377 1393 Sat Solid 10378 10456 10616 10898 10781 10865 10950 11036 11123 11212 11302 Sat Vapor 25014 25103 24940 24963 24829 24792 24755 24718 24681 24643 24606 SubL hs hs hs hs hs hs hs hs hs hs hs Vapor 28348 28376 28370 28394 28447 28393 28387 28390 28391 28390 28389 Sat Liquid 33340 33762 34178 34591 35409 35814 36115 36614 37103 37793 38180 Vapor 2753 2726 2698 2680 2614 2587 2559 2535 2503 2466 2433 Sat Vapor 2376 2372 2368 2360 2314 2280 2247 2214 2180 2137 2102 Sat SubL sig sig sig sig sig sig sig sig sig sig sig TABLE A7 Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table Temp C 60 50 45 40 36 32 30 28 26 22 20 Pressure bar 03749 06451 08290 10522 12627 15049 16389 17819 19345 22698 24534 Specific Volume m3kg Sat Liquid 06833 06966 07037 07109 07169 07231 07262 07294 07327 07393 07427 Sat Vapor 05370 03239 02564 02052 01730 01468 01355 01252 01159 00997 00926 Internal Energy kJkg Sat Liquid 2157 1089 550 007 429 868 1088 1309 1531 1976 2199 Sat Vapor 20367 20770 20970 21168 21325 21480 21558 21634 21711 21862 21937 Enthalpy kJkg Sat Liquid 2155 1085 544 000 438 879 1100 1322 1545 1992 2217 Evap 24535 23944 23639 23327 23071 22810 22677 22543 22408 22132 21991 Sat Vapor 22381 22860 23095 23327 23509 23689 23778 23866 23953 24124 24209 Entropy kJkgK Sat Liquid 00964 00474 00235 00000 00186 00369 00460 00551 00641 00819 00908 Sat Vapor 10547 10256 10126 10005 09914 09828 09787 09746 09707 09631 09595 Temp C 60 50 45 40 36 32 30 28 26 22 20 TABLE A9 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 55 bar 055 MPa Tsat 308C p 60 bar 060 MPa Tsat 585C Sat 5 10 15 004271 004317 004433 22753 22872 23181 25102 25246 25620 09226 09278 09411 003923 004015 004122 22844 23105 23418 25198 25514 25891 09186 09299 09431 20 25 30 004658 004768 004875 23795 24101 24407 26357 26723 27088 09667 09790 09912 004227 004330 004431 23729 24039 24349 26265 26637 27007 09560 09685 09808 35 40 45 004982 005086 005190 24713 25020 25327 27453 27817 28182 10031 10148 10264 004530 004628 004724 24658 24968 25278 27376 27745 28113 09929 10048 10164 50 55 60 005293 005394 005495 25636 25946 26258 28547 28913 29280 10378 10490 10601 004820 004914 005008 25590 25902 26215 28482 28851 29220 10279 10393 10504 p 70 bar 070 MPa Tsat 1091C p 80 bar 080 MPa Tsat 1545C Sat 15 20 25 003371 003451 003547 23004 23270 23592 25364 23686 26075 09117 09229 09363 002953 003033 003118 23143 23447 23776 25505 25874 26270 09056 09182 09315 30 35 40 003730 003819 003906 23912 24546 24862 26459 27219 27596 09493 09743 09865 003202 003283 003363 24104 24428 24752 26666 27054 27442 09448 09574 09700 45 50 55 60 65 70 003992 004076 004160 004242 004324 004405 25178 25494 25811 26129 26448 26768 27972 28348 28723 29099 29475 29851 09984 10101 10216 10330 10442 10552 003440 003517 003592 003667 003741 003814 25074 25396 25718 26040 26364 26687 27826 28210 28592 28974 29356 29738 09821 09941 10058 10174 10287 10400 p 90 bar 090 MPa Tsat 1959C p 100 bar 100 MPa Tsat 2340C Sat 20 30 40 50 60 002623 002789 002939 003082 003219 23264 23973 24637 25295 25949 25625 26483 27282 28068 28846 09001 09289 09549 09795 10033 002358 002457 002598 002732 002860 23371 23834 24518 25190 25856 25728 26291 27117 27922 28715 08952 09139 09407 09660 09902 70 80 90 100 003353 003483 003611 003736 26604 27262 27923 28590 29621 30396 31173 31953 10262 10484 10701 10913 002984 003104 003221 003337 26519 27184 27852 28524 29503 30288 31074 31861 10135 10361 10580 10794 110 120 130 140 150 003860 003982 004103 004223 004342 29263 29942 30628 31321 32021 32737 33526 34321 35122 35929 11120 11323 11523 11719 11912 003450 003562 003672 003781 003889 29202 29885 30574 31270 31974 32652 33446 34246 35051 35863 11003 11207 11408 11605 11790 TABLE A9 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 120 bar 120 MPa Tsat 3025C p 140 bar 140 MPa Tsat 3629C Sat 40 50 001955 002083 002204 23548 24263 24969 25894 26762 27614 08864 09146 09413 001662 001708 001823 23689 23978 24729 26016 26370 27281 08786 08900 09186 60 70 80 002319 002428 002534 25660 26344 27025 28443 29258 30066 09666 09907 10139 001929 002029 002125 25452 26160 26860 28153 29001 29834 09452 09703 09942 90 100 110 002636 002736 002834 27707 28390 29077 30870 31673 32478 10363 10582 10794 002217 002306 002393 27556 28252 28949 30660 31480 32300 10172 10395 10612 120 130 140 002930 003024 003118 29769 30465 31168 33285 34095 34909 11002 11205 11405 002478 002562 002644 29650 30355 31064 33119 33941 34765 10823 11029 11231 150 160 170 003210 003301 003392 31877 32592 33314 35729 36554 37384 11601 11793 11983 002725 002805 002884 31779 32499 33226 35594 36426 37264 11429 11624 11815 p 160 bar 160 MPa Tsat 4173C p 180 bar 180 MPa Tsat 4669C Sat 50 60 70 001440 001533 001634 23800 24466 25229 26104 26918 27843 08715 08971 09252 001265 001301 001401 23886 24172 24986 26164 26514 27509 08649 08758 09061 80 90 100 001728 001817 001901 25965 26686 27400 28730 29593 30442 09515 09762 09999 001492 001576 001655 25757 26504 27237 28443 29340 30216 09337 09595 09839 110 120 130 001983 002062 002139 28109 28818 29528 31282 32117 32951 10228 10448 10663 001731 001804 001874 27962 28683 29404 31077 31930 32778 10073 10299 10517 140 150 160 170 002214 002288 002361 002432 30241 30958 31679 32405 33784 34619 35456 36297 10872 11077 11277 11473 001943 002011 002077 002142 30126 30850 31578 32310 33624 34470 35317 36166 10730 10937 11139 11338 170 002503 33137 37142 11666 002207 33047 37019 11532 p 200 bar 200 MPa Tsat 5126C p 240 bar 24 MPa Tsat 5946C Sat 60 70 80 001124 001212 001300 23951 24720 25535 26198 27143 28136 08586 08873 09167 000907 000913 001006 24022 24078 25030 26199 26268 27443 08463 08484 08831 90 100 110 001381 001457 001528 26312 27067 27809 29074 29980 30865 09436 09689 09929 001085 001156 001222 25889 26701 27485 28493 29475 30418 09133 09407 09663 120 130 140 150 001596 001663 001727 001789 28544 29276 30008 30740 31737 32601 33461 34319 10160 10383 10598 10808 001284 001343 001400 001456 28253 29011 29764 30514 31335 32235 33125 34008 09906 10137 10361 10577 150 160 170 180 001850 001940 001969 002027 31475 32214 32956 33703 35176 36034 36895 37758 11013 11214 11410 11603 001509 001562 001613 001663 31264 32016 32770 33527 34887 35764 36641 37520 10787 10992 11192 11388 TABLE A10 Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table Temp C Press bar Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hg Evap hfg Sat Liquid sf Sat Vapor sg Temp C 40 05164 07055 03569 004 20445 000 22288 22288 00000 09560 40 36 06332 07113 02947 468 20673 473 22067 22540 00201 09506 36 32 07704 07172 02451 947 20901 952 21837 22790 00401 09456 32 28 09305 07233 02052 1431 21129 1437 21601 23038 00600 09411 28 26 10199 07265 01882 1675 21243 1682 21480 23162 00699 09390 26 24 11160 07296 01728 1921 21357 1929 21357 23285 00798 09370 24 22 12192 07328 01590 2168 21470 2177 21232 23408 00897 09351 22 20 13299 07361 01464 2417 21584 2426 21105 23531 00996 09332 20 18 14483 07395 01350 2667 21697 2677 20976 23653 01094 09315 18 16 15748 07428 01247 2918 21810 2930 20845 23774 01192 09298 16 12 18540 07498 01068 3425 22036 3439 20577 24015 01388 09267 12 8 21704 07569 00919 3938 22260 3954 20300 24254 01583 09239 8 4 25274 07644 00794 4456 22484 4475 20015 24490 01777 09213 4 0 29282 07721 00689 4979 22706 5002 19721 24723 01970 09190 0 4 33765 07801 00600 5508 22927 5535 19419 24953 02162 09169 4 8 38756 07884 00525 6043 23146 6073 19107 25180 02354 09150 8 12 44294 07971 00460 6583 23363 6618 18785 25403 02545 09132 12 16 50416 08062 00405 7129 23578 7169 18452 25622 02735 09116 16 20 57160 08157 00358 7680 23791 7726 18109 25836 02924 09102 20 24 64566 08257 00317 8237 24001 8290 17755 26045 03113 09089 24 26 68530 08309 00298 8518 24105 8575 17573 26148 03208 09082 26 28 72675 08362 00281 8800 24208 8861 17389 26250 03302 09076 28 30 77006 08417 00265 9084 24310 9149 17200 26350 03396 09070 30 32 81528 08473 00250 9370 24412 9439 17009 26448 03490 09064 32 34 86247 08530 00236 9658 24512 9731 16814 26545 03584 09058 34 36 91168 08590 00223 9947 24611 10025 16615 26640 03678 09053 36 38 96298 08651 00210 10238 24709 10321 16412 26733 03772 09047 38 40 10164 08714 00199 10530 24806 10619 16205 26824 03866 09041 40 42 10720 08780 00188 10825 24902 10919 15994 26914 03960 09035 42 44 11299 08847 00177 11122 24996 11222 15779 27001 04054 09030 44 48 12526 08989 00159 11722 25179 11835 15333 27168 04243 09017 48 52 13851 09142 00142 12331 25355 12458 14866 27324 04432 09004 52 56 15278 09308 00127 12951 25523 13093 14375 27468 04622 08990 56 60 16813 09488 00114 13582 25681 13742 13857 27599 04814 08973 60 70 21162 10027 00086 15222 26015 15434 12408 27843 05302 08918 70 80 26324 10766 00064 16988 26214 17271 10641 27912 05814 08827 80 90 32435 11949 00046 18982 26134 19369 8263 27632 06380 08655 90 100 39742 15443 00027 21860 24849 22474 3440 25913 07196 08117 100 TABLE A11 Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table Press bar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkgK Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Press bar 06 3707 07097 03100 341 20612 346 22127 22472 00147 09520 06 08 3121 07184 02366 1041 20946 1047 21792 22839 00440 09947 08 10 2643 07258 01917 1622 21218 1629 21506 23135 00678 09395 10 12 2236 07323 01614 2123 21450 2132 21254 23386 00879 09354 12 14 1880 07381 01395 2566 21652 2577 21027 23604 01055 09322 14 16 1562 07435 01229 2966 21832 2978 20819 23797 01211 09295 16 18 1273 07485 01098 3331 21994 3345 20626 23971 01352 09273 18 20 1009 07532 00993 3669 22143 3684 20446 24130 01481 09253 20 24 537 07618 00834 4277 22407 4295 20114 24409 01710 09222 24 28 123 07697 00719 4818 22638 4839 19813 24652 01911 09197 28 32 248 07770 00632 5306 22843 5331 19535 24866 02089 09177 32 36 584 07839 00564 5754 23028 5782 19276 25058 02251 09160 36 40 893 07904 00509 6169 23197 6200 19032 25232 02399 09145 40 50 1574 08056 00409 7093 23564 7133 18474 25607 02723 09117 50 60 2158 08196 00341 7899 23874 7948 17971 25919 02999 09097 60 70 2672 08328 00292 8619 24142 8678 17507 26185 03242 09080 70 80 3133 08454 00255 9275 24378 9342 17073 26415 03459 09066 80 90 3553 08576 00226 9879 24588 9956 16662 26618 03656 09054 90 100 3939 08695 00202 10442 24777 10529 16268 26797 03838 09043 100 120 4632 08928 00166 11469 25103 11576 15523 27099 04164 09023 120 140 5243 09159 00140 12398 25374 12526 14814 27340 04453 09003 140 160 5792 09392 00121 13252 25600 13402 14131 27533 04714 08982 160 180 6291 09631 00105 14049 25788 14222 13460 27683 04954 08959 180 200 6749 09878 00093 14802 25941 14999 12795 27794 05178 08934 200 250 7759 10562 00069 16548 26184 16812 11106 27917 05687 08854 250 300 8622 11416 00053 18188 26216 18530 9271 27801 06156 08735 300 22 TABLE A12 Properties of Superheated Refrigerant 134a Vapor T C v m3kg u kJkg h kJkg s kJkgK v m3kg u kJkg h kJkg s kJkgK p 06 bar 006 MPa Tsat 3707C p 10 bar 010 MPa Tsat 2643C Sat 031003 20612 22472 09520 019170 21218 23135 09395 20 033536 21786 23798 10062 019770 21677 23654 09602 10 034992 22497 24596 10371 020686 22401 24470 09918 0 036433 23224 25410 10675 021587 23141 25299 10227 10 037861 23969 26241 10973 022473 23896 26143 10531 20 039279 24732 27089 11267 023349 24667 27002 10829 30 040688 25512 27953 11557 024216 25454 27876 11122 40 042091 26310 28835 11844 025076 26258 28766 11411 50 043487 27125 29734 12126 025930 27079 29672 11696 60 044879 27958 30651 12405 026779 27916 30594 11977 70 046266 28808 31584 12681 027623 28770 31532 12254 80 047650 29675 32534 12954 028464 29640 32487 12528 90 049031 30558 33500 13224 029302 30527 33457 12799 p 14 bar 014 MPa Tsat 1880C p 18 bar 018 MPa Tsat 1273C Sat 013945 21652 23604 09322 010983 21994 23971 09273 10 014549 22303 24340 09606 011135 22202 24206 09362 0 015219 23055 25186 09922 011678 22967 25069 09684 10 015875 23821 26043 10230 012207 23744 25941 09998 20 016520 24601 26913 10532 012723 24533 26823 10304 30 017155 25396 27797 10828 013230 25336 27717 10604 40 017783 26206 28696 11120 013730 26153 28624 10898 50 018404 27032 29609 11407 014222 26985 29545 11187 60 019020 27874 30537 11690 014710 27831 30479 11472 70 019633 28732 31480 11969 015193 28693 31428 11753 80 020241 29606 32439 12244 015672 29571 32392 12030 90 020846 30495 33414 12516 016148 30463 33370 12303 100 021449 31401 34404 12785 016622 31372 34363 12573 p 20 bar 020 MPa Tsat 1009C p 24 bar 024 MPa Tsat 537C Sat 009933 22143 24130 09253 008343 22407 24409 09222 10 009938 22150 24138 09256 008574 22831 24889 09399 0 010438 22923 25010 09582 008574 22831 24889 09399 10 010922 23705 25889 09898 008993 23626 25784 09721 20 011394 24499 26778 10206 009399 24430 26685 10034 30 011856 25306 27677 10508 009794 25245 27595 10339 40 012311 26126 28588 10804 010181 26072 28516 10637 50 012758 26961 29512 11094 010562 26912 29447 10930 60 013201 27810 30450 11380 010937 27767 30391 11218 70 013639 28674 31402 11661 011307 28635 31349 11501 80 014073 29553 32368 11939 011674 29518 32319 11780 90 014504 30447 33348 12212 012037 30415 33304 12055 100 014932 31357 34343 12483 012398 31327 34303 12326 23 TABLE A12 Continued T C v m3kg u kJkg h kJkg s kJkgK v m3kg u kJkg h kJkg s kJkgK p 28 bar 028 MPa Tsat 123C p 32 bar 032 MPa Tsat 248C Sat 007193 22638 24652 09197 006322 22843 24866 09177 0 007240 22737 24764 09238 10 007613 23544 25676 09566 006576 23461 25565 09427 20 007972 24359 26591 09883 006901 24287 26495 09749 30 008320 25183 27512 10192 007214 25119 27428 10062 40 008660 26017 28442 10494 007518 25961 28367 10367 50 008992 26864 29381 10789 007815 26814 29315 10665 60 009319 27723 30332 11079 008106 27679 30272 10957 70 009641 28596 31295 11364 008392 28556 31241 11243 80 009960 29482 32271 11644 008674 29446 32222 11525 90 010275 30383 33260 11920 008953 30350 33215 11802 100 010587 31298 34262 12193 009229 31268 34221 12076 110 010897 32227 35278 12461 009503 32200 35240 12345 120 011205 33171 36308 12727 009774 33145 36273 12611 p 40 bar 040 MPa Tsat 893C p 50 bar 050 MPa Tsat 1574C Sat 005089 23197 25232 09145 004086 23564 25607 09117 10 005119 23287 25335 09182 20 005397 24137 26296 09515 004188 23940 26034 09264 30 005662 24989 27254 09837 004416 24820 27028 09597 40 005917 25847 28214 10148 004633 25699 28016 09918 50 006164 26713 29179 10452 004842 26583 29004 10229 60 006405 27589 30151 10748 005043 27473 29995 10531 70 006641 28475 31132 11038 005240 28372 30992 10825 80 006873 29373 32123 11322 005432 29280 31996 11114 90 007102 30284 33125 11602 005620 30200 33010 11397 100 007327 31207 34138 11878 005805 31131 34033 11675 110 007550 32144 35164 12149 005988 32074 35068 11949 120 007771 33094 36203 12417 006168 33030 36114 12218 130 007991 34058 37254 12681 006347 33998 37172 12484 140 008208 35035 38318 12941 006524 34979 38242 12746 p 60 bar 060 MPa Tsat 2158C p 70 bar 070 MPa Tsat 2672C Sat 003408 23874 25919 09097 002918 24142 26185 09080 30 003581 24641 26789 09388 002979 24451 26537 09197 40 003774 25545 27809 09719 003157 25383 27593 09539 50 003958 26448 28823 10037 003324 26308 28635 09867 60 004134 27354 29835 10346 003482 27231 29669 10182 70 004304 28266 30848 10645 003634 28157 30701 10487 80 004469 29186 31867 10938 003781 29088 31735 10784 90 004631 30114 32893 11225 003924 30027 32774 11074 100 004790 31053 33927 11505 004064 30974 33819 11358 110 004946 32003 34970 11781 004201 31931 34871 11637 120 005099 32964 36024 12053 004335 32898 35933 11910 130 005251 33938 37088 12320 004468 33876 37004 12179 140 005402 34923 38164 12584 004599 34866 38086 12444 150 005550 35921 39252 12844 004729 35868 39179 12706 160 005698 36932 40351 13100 004857 36882 40282 12963 TABLE A12 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 80 bar 080 MPa Tsat 3133C p 90 bar 090 MPa Tsat 3553C Sat 002547 24378 26415 09066 002255 24588 26618 09054 40 002691 25213 27366 09374 002325 25032 27125 09217 50 002846 26162 28439 09711 002472 26009 28234 09566 60 002992 27104 29498 10034 002609 26972 29321 09897 70 003131 28045 30550 10345 002738 27930 30394 10214 80 003264 28989 31600 10647 002861 28887 31462 10521 90 003393 29937 32652 10940 002980 29846 32528 10819 100 003519 30893 33708 11227 003095 30811 33596 11109 110 003642 31857 34771 11508 003207 31782 34668 11392 120 003762 32831 35840 11784 003316 32762 35747 11670 130 003881 33814 36919 12055 003423 33752 36833 11943 140 003997 34809 38007 12321 003529 34751 37927 12211 150 004113 35815 39105 12584 003633 35761 39031 12475 160 004227 36832 40214 12843 003736 36782 40144 12735 170 004340 37861 41333 13098 003838 37814 41268 12992 180 004452 38902 42463 13351 003939 38857 42402 13245 p 100 bar 100 MPa Tsat 3939C p 120 bar 120 MPa Tsat 4632C Sat 002020 24777 26797 09043 001663 25103 27099 09023 40 002029 24839 26868 09066 50 002171 25848 28019 09428 001712 25498 27552 09164 60 002301 26835 29136 09768 001835 26542 28744 09527 70 002423 27811 30234 10093 001947 27559 29896 09868 80 002538 28782 31320 10405 002051 28562 31024 10192 90 002649 29753 32401 10707 002150 29559 32139 10503 100 002755 30727 33482 11000 002244 30554 33247 10804 110 002858 31706 34565 11286 002335 31550 34352 11096 120 002959 32693 35652 11567 002423 32551 35458 11381 130 003058 33688 36746 11841 002508 33558 36568 11660 140 003154 34692 37846 12111 002592 34573 37683 11933 150 003250 35706 38956 12376 002674 35595 38804 12201 160 003344 36731 40074 12638 002754 36627 39933 12465 170 003436 37766 41202 12895 002834 37669 41070 12724 180 003528 38812 42340 13149 002912 38721 42216 12980 p 140 bar 140 MPa Tsat 5243C p 160 bar 160 MPa Tsat 5792C Sat 001405 25374 27340 09003 001208 25600 27533 08982 60 001495 26217 28310 09297 001233 25848 27820 09069 70 001603 27287 29531 09658 001340 26989 29133 09457 80 001701 28329 30710 09997 001435 28078 30374 09813 90 001792 29355 31863 10319 001521 29139 31572 10148 100 001878 30373 33002 10628 001601 30184 32746 10467 110 001960 31388 34132 10927 001677 31220 33904 10773 120 002039 32405 35259 11218 001750 32253 35053 11069 130 002115 33425 36386 11501 001820 33287 36199 11357 140 002189 34450 37515 11777 001887 34324 37344 11638 150 002262 35482 38649 12048 001953 35366 38491 11912 160 002333 36522 39789 12315 002017 36415 39643 12181 170 002403 37571 40936 12576 002080 37471 40799 12445 180 002472 38629 42090 12834 002142 38535 41962 12704 190 002541 39696 43253 13088 002203 39608 43133 12960 200 002608 40773 44424 13338 002263 40690 44311 13212 TABLE A13 Properties of Saturated Ammonia LiquidVapor Temperature Table Temp C Press bar Specific Volume m³kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vt 10³ Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Temp C 50 04086 14245 26265 4394 126499 4388 141620 137232 01922 61543 50 45 05453 14367 20060 2203 127119 2195 140252 138057 00951 60523 45 40 07174 14493 15524 010 127720 000 138856 138856 00000 59557 40 36 08850 14597 12757 1747 128187 1760 137717 139477 00747 58819 36 32 10832 14703 10561 3509 128641 3525 136555 140081 01484 58111 32 30 11950 14757 09634 4393 128863 4410 135965 140375 01849 57767 30 28 13159 14812 08803 5278 129082 5297 135368 140666 02212 57430 28 26 14465 14867 08056 6165 129297 6186 134765 140951 02572 57100 26 22 17390 14980 06780 7946 129718 7972 133536 141508 03287 56457 22 20 19019 15038 06233 8840 129923 8868 132910 141779 03642 56144 20 18 20769 15096 05739 9736 130125 9768 132277 142045 03994 55837 18 16 22644 15155 05291 10636 130323 10670 131635 142305 04346 55536 16 14 24652 15215 04885 11537 130517 11575 130986 142561 04695 55239 14 12 26798 15276 04516 12442 130708 12483 130328 142811 05043 54948 12 10 29089 15338 04180 13350 130895 13394 129661 143055 05389 54662 10 8 31532 15400 03874 14260 131078 14309 128986 143295 05734 54380 8 6 34134 15464 03595 15174 131257 15226 128302 143528 06077 54103 6 4 36901 15528 03340 16088 131432 16146 127610 143756 06418 53831 4 2 39842 15594 03106 17007 131604 17069 126908 143978 06759 53562 2 0 42962 15660 02892 17929 131771 17996 126197 144194 07097 53298 0 2 46270 15727 02695 18853 131934 18926 125477 144403 07435 53038 2 4 49773 15796 02514 19780 132092 19859 124748 144607 07770 52781 4 6 53479 15866 02348 20710 132247 20795 124009 144804 08105 52529 6 8 57395 15936 02195 21642 132396 21734 123261 144994 08438 52279 8 10 61529 16008 02054 22577 132542 22675 122503 145178 08769 52033 10 12 65890 16081 01923 23514 132682 23620 121735 145355 09099 51791 12 16 75324 16231 01691 25395 132948 25518 120170 145687 09755 51314 16 20 85762 16386 01492 27286 133194 27426 118564 145990 10404 50849 20 24 97274 16547 01320 29184 133419 29345 116916 146261 11048 50394 24 28 10993 16714 01172 31092 133620 31275 115224 146500 11686 49948 28 32 12380 16887 01043 33007 133797 33217 113487 146703 12319 49509 32 36 13896 17068 00930 34932 133947 35169 111700 146870 12946 49078 36 40 15549 17256 00831 36867 134070 37135 109862 146997 13569 48652 40 45 17819 17503 00725 39301 134181 39613 107484 147096 14341 48125 45 50 20331 17765 00634 41756 134242 42117 105009 147126 15109 47604 50 TABLE A14 Properties of Saturated Ammonia LiquidVapor Pressure Table Press bar Temp C Specific Volume m³kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vt 10³ Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Evap hfg Sat Vapor hg Sat Liquid sf Sat Vapor sg Press bar 040 5036 14236 26795 4552 126454 4546 141718 137172 01992 61618 040 050 4653 14330 21752 2873 126931 2866 140673 137807 01245 60829 050 060 4328 14410 18345 1451 127327 1442 139776 138334 00622 60186 060 070 4046 14482 15884 211 127666 201 138985 138784 00086 59643 070 080 3794 14546 14020 893 127961 904 138273 139178 00386 59174 080 090 3567 14605 12559 1891 128224 1904 137623 139527 00808 58760 090 100 3360 14660 11381 2803 128461 2818 137023 139841 01191 58391 100 125 2907 14782 09237 4803 128965 4822 135689 140511 02018 57610 125 150 2522 14889 07787 6510 129380 6532 134528 141061 02712 56973 150 175 2186 14984 06740 8008 129733 8035 133492 141527 03312 56435 175 200 1886 15071 05946 9350 130039 9380 132551 141931 03843 55969 200 225 1615 15151 05323 10568 130308 10603 131683 142286 04319 55558 225 250 1367 15225 04821 11688 130549 11726 130876 142603 04753 55190 250 275 1137 15295 04408 12726 130767 12768 130120 142888 05152 54858 275 300 924 15361 04061 13696 130965 13742 129405 143147 05520 54554 300 325 724 15424 03765 14606 131146 14657 128727 143384 05864 54275 325 350 536 15484 03511 15466 131314 15520 128081 143601 06186 54016 350 375 358 15542 03289 16280 131468 16338 127464 143803 06489 53774 375 400 190 15597 03094 17055 131612 17118 126871 143989 06776 53548 400 425 029 15650 02921 17796 131747 17862 126301 144163 07048 53336 425 450 125 15702 02767 18504 131873 18575 125750 144325 07308 53135 450 475 272 15752 02629 19184 131991 19259 125218 144477 07555 52946 475 500 413 15800 02503 19839 132102 19918 124702 144619 07791 52765 500 525 548 15847 02390 20469 132207 20552 124201 144753 08018 52594 525 550 679 15893 02286 21078 132306 21165 123715 144880 08236 52430 550 575 805 15938 02191 21666 132400 21758 123241 144999 08446 52273 575 600 927 15982 02104 22237 132489 22332 122779 145112 08649 52122 600 700 1379 16148 01815 24356 132804 24469 121038 145507 09394 51576 700 800 1784 16302 01596 26264 133064 26395 119436 145830 10054 51099 800 900 2152 16446 01424 28005 133282 28153 117944 146097 10649 50675 900 1000 2489 16584 01285 29610 133466 29776 116542 146318 11191 50294 1000 1200 3094 16841 01075 32499 133752 32701 113952 146653 12152 49625 1200 1400 3626 17080 00923 35058 133956 35297 111582 146879 12987 49050 1400 1600 4103 17306 00808 37369 134097 37646 109377 147023 13729 48542 1600 1800 4538 17522 00717 39485 134188 39800 107301 147101 14399 48086 1800 2000 4937 17731 00644 41444 134237 41799 105327 147126 15012 47670 2000 TABLE A15 Properties of Superheated Ammonia Vapor T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 04 bar 004 MPa Tsat 5036C p 06 bar 006 MPa Tsat 4328C Sat 26795 126454 137172 61618 18345 127327 138334 60186 50 26841 126511 137248 61652 45 27481 127305 138298 62118 40 28118 128101 139348 62573 18630 127862 139040 60490 35 28753 128896 140398 63018 19061 128675 140112 60946 30 29385 129693 141447 63455 19491 129488 141183 61390 25 30015 130490 142496 63882 19918 130301 142252 61826 20 30644 131288 143546 64300 20343 131113 143319 62251 15 31271 132087 144595 64711 20766 131925 144385 62668 10 31896 132887 145645 65114 21188 132737 145450 63077 5 32520 133688 146695 65509 21609 133549 146514 63478 0 33142 134490 147747 65898 22028 134361 147578 63871 5 33764 135295 148800 66280 22446 135175 148643 64257 p 08 bar 008 MPa Tsat 3794C p 10 bar 010 MPa Tsat 3360C Sat 14021 127961 139178 59174 11381 128461 139841 58391 35 14215 128451 139823 59446 30 14543 129281 140915 59900 11573 25 14868 130109 142004 60343 11838 129915 141753 59175 20 15192 130936 143090 60777 12101 130757 142858 59616 15 15514 131761 144172 61200 12362 131596 143958 60046 10 15834 132585 145253 61615 12621 132433 145054 60467 5 16153 133409 146331 62021 12880 133267 146147 60878 0 16471 134231 147408 62419 13136 134100 147237 61281 5 16788 135054 148484 62809 13392 134933 148325 61676 10 17103 135877 149560 63192 13647 135764 149411 62063 15 17418 136701 150635 63568 13900 136595 150496 62442 20 17732 137525 151710 63939 14153 137427 151580 62816 p 15 bar 015 MPa Tsat 2522C p 20 bar 020 MPa Tsat 1886C Sat 07787 129380 141061 56973 059460 130039 141931 55969 25 07795 129420 141113 56994 20 07978 130300 142267 57454 15 08158 131175 143412 57902 060542 130743 142851 56328 10 08336 132044 144549 58338 061926 131646 144031 56781 5 08514 132908 145679 58764 063294 132541 145200 57221 0 08689 133768 146802 59179 064648 133429 146359 57649 5 08864 134625 147920 59585 065989 134311 147509 58066 10 09037 135478 149034 59981 067320 135187 148651 58473 15 09210 136329 150144 60370 068640 136059 149787 58871 20 09382 137179 151251 60751 069952 136928 150918 59260 25 09553 138028 152356 61125 071256 137793 152044 59641 30 09723 138876 153460 61492 072553 138656 153167 60014 TABLE A15 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 25 bar 025 MPa Tsat 1367C p 30 bar 030 MPa Tsat 924C Sat 048213 130549 142603 55190 040607 130965 143147 54554 10 049051 131237 143500 55534 5 050180 132165 144710 55989 041428 131780 144208 54953 0 051293 133083 145906 56431 042382 132728 145443 55409 5 052393 133991 147089 56860 043323 133664 146661 55851 10 053482 134891 148261 57278 044251 134589 147865 56280 15 054560 135784 149425 57685 045169 135505 149056 56697 20 055630 136672 150580 58083 046078 136413 150236 57103 25 056691 137555 151728 58471 046978 137314 151407 57499 30 057745 138434 152870 58851 047870 138209 152570 57886 35 058793 139310 154008 59223 048756 139100 153726 58264 40 059835 140184 155142 59589 049637 139986 154877 58635 45 060872 141056 156274 59947 050512 140870 156024 58998 p 35 bar 035 MPa Tsat 536C p 40 bar 040 MPa Tsat 190C Sat 035108 131314 143601 54016 030942 131612 143989 53548 0 036011 132366 144970 54522 031227 131995 144486 53731 10 037654 134282 147461 55417 032701 133968 147049 54652 20 039251 136149 149887 56259 034129 135881 149533 55515 30 040814 137981 152266 57057 035520 137749 151957 56328 40 042350 139787 154609 57818 036884 139585 154338 57101 60 045363 143355 159232 59249 039550 143197 159017 58549 80 048320 146906 163818 60586 042160 146777 163641 59897 100 051240 150473 168407 61850 044733 150364 168258 61169 120 054136 154079 173026 63056 047280 153985 172897 62380 140 057013 157738 177692 64213 049808 157655 177579 63541 160 059876 161460 182416 65330 052323 161386 182316 64661 180 062728 165251 187206 66411 054827 165185 187116 65744 200 065572 169115 192065 67460 057322 169056 191985 66796 p 45 bar 045 MPa Tsat 125C p 50 bar 050 MPa Tsat 413C Sat 027671 131873 144325 53135 025034 132102 144619 52765 10 028846 133648 146629 53962 025757 133322 146200 53330 20 030142 135609 149172 54845 026949 135332 148806 54234 30 031401 137515 151645 55674 028103 137276 151328 55080 40 032631 139380 154064 56460 029227 139174 153787 55878 60 035029 143037 158800 57926 031410 142876 158581 57362 80 037369 146647 163463 59285 033535 146516 163284 58733 100 039671 150255 168107 60564 035621 150146 167956 60020 120 041947 153891 172767 61781 037681 153797 172637 61242 140 044205 157573 177465 62946 039722 157490 177351 62412 160 046448 161313 182215 64069 041749 161240 182114 63537 180 048681 165120 187026 65155 043765 165054 186936 64626 200 050905 168997 191904 66208 045771 168938 191824 65681 TABLE A15 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 55 bar 055 MPa Tsat 679C p 60 bar 060 MPa Tsat 927C Sat 022861 132306 144880 52430 021038 132489 145112 52122 10 023227 132988 145763 52743 021115 132647 145316 52195 20 024335 135050 148434 53671 022155 134762 148055 53145 30 025403 137035 151007 54534 023152 136790 150681 54026 40 026441 138964 153507 55345 024118 138752 153223 54851 50 027454 140853 155953 56114 025059 140667 155703 55631 60 028449 142713 158360 56848 025981 142549 158138 56373 80 030398 146385 163104 58230 027783 146252 162922 57768 100 032307 150036 167805 59525 029546 149925 167652 59071 120 034190 153702 172507 60753 031281 153607 172376 60304 140 036054 157407 177237 61926 032997 157324 177122 61481 160 037903 161166 182013 63055 034699 161092 181912 62613 180 039742 164988 186846 64146 036390 164922 186756 63707 200 041571 168879 191743 65203 038071 168820 191663 64766 p 70 bar 070 MPa Tsat 1379C p 80 bar 080 MPa Tsat 1784C Sat 018148 132804 145507 51576 015958 133064 145830 51099 20 018721 134172 147277 52186 016138 133559 146470 51318 30 019610 136288 150015 53104 016948 135771 149329 52277 40 020464 138320 152645 53958 017720 137877 152053 53161 50 021293 140290 155195 54760 018465 139905 154677 53986 60 022101 142216 157687 55519 019189 141877 157228 54763 80 023674 145985 162556 56939 020590 145714 162186 56209 100 025205 149702 167346 58258 021949 149477 167037 57545 120 026709 153416 172112 59502 023280 153224 171848 58801 140 028193 157157 176892 60688 024590 156989 176661 59995 160 029663 160944 181708 61826 025886 160796 181504 61140 180 031121 164790 186575 62925 027170 164657 186394 62243 200 032571 168702 191501 63988 028445 168583 191339 63311 p 90 bar 090 MPa Tsat 2152C p 100 bar 100 MPa Tsat 2489C Sat 014239 133282 146097 50675 012852 133466 146318 50294 30 014872 135236 148620 51520 013206 134682 147888 50816 40 015582 137421 151445 52436 013868 136952 150820 51768 50 016263 139511 154147 53286 014499 139107 153606 52644 60 016922 141532 156761 54083 015106 141179 156286 53460 80 018191 145439 161811 55555 016270 145160 161431 54960 100 019416 149250 166724 56908 017389 149020 166410 56332 120 020612 153030 171581 58176 018478 152835 171313 57612 140 021788 156820 176429 59379 019545 156651 176196 58823 160 022948 160646 181300 60530 020598 160497 181094 59981 180 024097 164524 186212 61639 021638 164391 186029 61095 200 025237 168464 191177 62711 022670 168344 191014 62171 TABLE A15 Continued T v u h s v u h s C m3kg kJkg kJkg kJkg K m3kg kJkg kJkg kJkg K p 120 bar 120 MPa Tsat 3094C p 140 bar 140 MPa Tsat 3626C Sat 010751 133752 146653 49625 009231 133956 146879 49050 40 011287 135973 149518 50553 009432 134929 148133 49453 60 012378 140454 155307 52347 010423 139697 154289 51360 80 013387 144591 160656 53906 011324 144006 159859 52984 100 014347 148555 165771 55315 012172 148079 165120 54433 120 015275 152441 170771 56620 012986 152041 170221 55765 140 016181 156309 175726 57850 013777 155963 175252 57013 160 017072 160195 180681 59021 014552 159892 180265 58198 180 017950 164123 185663 60145 015315 163853 185294 59333 200 018819 168105 190687 61230 016068 167864 190359 60427 220 019680 172150 195766 62282 016813 171935 195473 61485 240 020534 176263 200904 63303 017551 176072 200643 62513 260 021382 180448 206106 64297 018283 180278 205875 63513 280 022225 184704 211374 65267 019010 184555 211169 64488 p 160 bar 160 MPa Tsat 4103C p 180 bar 180 MPa Tsat 4538C Sat 008079 134097 147023 48542 007174 134188 147101 48086 60 008951 138906 153228 50461 007801 138077 152119 49627 80 009774 143402 159040 52156 008565 142779 158197 51399 100 010539 147593 164456 53648 009267 147097 163778 52937 120 011268 151634 169664 55008 009931 151222 169098 54326 140 011974 155614 174772 56276 010570 155261 174288 55614 160 012663 159585 179845 57475 011192 159276 179423 56828 180 013339 163581 184923 58621 011801 163308 184550 57985 200 014005 167621 190029 59723 012400 167378 189698 59096 220 014663 171718 195179 60789 012991 171500 194883 60170 240 015314 175879 200381 61823 013574 175685 200118 61210 260 015959 180107 205642 62829 014152 179935 205408 62222 280 016599 184405 210964 63809 014724 184255 210758 63207 p 200 bar 200 MPa Tsat 4937C Sat 006445 134237 147126 47670 60 006875 137205 150954 48838 80 007596 142136 157327 50696 100 008248 146589 163086 52283 120 008861 150803 168524 53703 140 009447 154903 173798 55012 160 010016 158965 178997 56241 180 010571 163032 184174 57409 200 011116 167133 189364 58530 220 011652 171282 194587 59611 240 012182 175490 199854 60658 260 012706 179763 205174 61675 280 013224 184103 210550 62665 TABLE A16 Properties of Saturated Propane LiquidVapor Temperature Table Temp C Press bar Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hfg Evap hg Sat Liquid sf Sat Vapor sg Temp C 100 002888 1553 1127 1284 3195 1284 4804 3520 0634 2140 100 90 006426 1578 5345 1078 3293 1078 4714 3636 0519 2055 90 80 01301 1605 2774 870 3393 870 4624 3754 0408 1986 80 70 02434 1633 1551 658 3495 658 4531 3873 0301 1929 70 60 04261 1663 09234 444 3599 443 4435 3992 0198 1883 60 50 07046 1694 05793 225 3704 224 4336 4112 0098 1845 50 40 1110 1728 03798 02 3810 00 4232 4232 0000 1815 40 30 1677 1763 02585 226 3916 229 4121 4350 0096 1791 30 20 2444 1802 01815 459 4024 463 4005 4468 0190 1772 20 10 3451 1844 01309 698 4132 704 3880 4584 0282 1757 10 0 4743 1890 009653 942 4238 951 3745 4696 0374 1745 0 4 5349 1910 008591 1042 4281 1053 3688 4741 0410 1741 4 8 6011 1931 007666 1143 4323 1155 3629 4784 0446 1737 8 12 6732 1952 006858 1246 4365 1259 3568 4827 0482 1734 12 16 7515 1975 006149 1350 4407 1364 3505 4869 0519 1731 16 20 8362 1999 005525 1454 4448 1471 3439 4910 0555 1728 20 24 9278 2024 004973 1561 4489 1580 3370 4950 0591 1725 24 28 1027 2050 004483 1669 4529 1690 3299 4989 0627 1722 28 32 1133 2078 004048 1778 4567 1802 3224 5026 0663 1720 32 36 1247 2108 003659 1889 4606 1916 3146 5062 0699 1717 36 40 1369 2140 003310 2002 4643 2031 3065 5096 0736 1715 40 44 1500 2174 002997 2117 4679 2149 2980 5129 0772 1712 44 48 1640 2211 002714 2234 4714 2270 2889 5159 0809 1709 48 52 1789 2250 002459 2353 4746 2393 2793 5186 0846 1705 52 56 1947 2293 002227 2474 4777 2519 2692 5211 0884 1701 56 60 2116 2340 002015 2598 4806 2648 2584 5232 0921 1697 60 65 2342 2406 001776 2757 4836 2814 2438 5252 0969 1690 65 70 2586 2483 001560 2923 4861 2987 2277 5264 1018 1682 70 75 2849 2573 001363 3095 4878 3168 2098 5266 1069 1671 75 80 3131 2683 001182 3276 4882 3360 1892 5252 1122 1657 80 85 3436 2827 001011 3472 4869 3569 1647 5216 1178 1638 85 90 3764 3038 0008415 3694 4822 3808 1331 5139 1242 1608 90 95 4119 3488 0006395 3998 4674 4142 795 4937 1330 1546 95 967 4248 4535 0004535 4349 4349 4542 00 4572 1437 1437 967 Source Tables A16 through A18 are calculated based on B A Younglove and J F Ely Thermophysical Properties of Fluids II Methane Ethane Propane Isobutane and Normal Butane J Phys Chem Ref Data Vol 16 No 4 1987 pp 577598 TABLE A17 Properties of Saturated Propane LiquidVapor Pressure Table Press bar Temp C Specific Volume m3kg Internal Energy kJkg Enthalpy kJkg Entropy kJkg K Sat Liquid vf 103 Sat Vapor vg Sat Liquid uf Sat Vapor ug Sat Liquid hf Sat Vapor hfg Evap hg Sat Liquid sf Sat Vapor sg Press bar 005 9328 1570 6752 1146 3260 1146 4744 3598 0556 2081 005 010 8387 1594 3542 951 3354 951 4659 3708 0450 2011 010 025 6955 1634 1513 649 3500 649 4527 3878 0297 1927 025 050 5693 1672 07962 377 3631 376 4405 4029 0167 1871 050 075 4868 1698 05467 196 3718 195 4323 4128 0085 1841 075 100 4238 1719 04185 56 3785 54 4257 4203 0023 1822 100 200 2543 1781 02192 331 3966 335 4069 4404 0139 1782 200 300 1416 1826 01496 598 4087 603 3933 4536 0244 1762 300 400 546 1865 01137 808 4180 815 3820 4635 0324 1751 400 500 174 1899 009172 986 4257 995 3721 4716 0389 1743 500 600 793 1931 007680 1142 4322 1153 3630 4783 0446 1737 600 700 1341 1960 006598 1282 4380 1296 3546 4842 0495 1733 700 800 1833 1989 005776 1410 4431 1426 3467 4893 0540 1729 800 900 2282 2016 005129 1529 4476 1547 3391 4938 0580 1726 900 1000 2695 2043 004606 1640 4518 1661 3318 4979 0618 1723 1000 1100 3080 2070 004174 1745 4556 1768 3247 5015 0652 1721 1100 1200 3439 2096 003810 1844 4591 1870 3178 5048 0685 1718 1200 1300 3777 2122 003499 1939 4622 1967 3110 5077 0716 1716 1300 1400 4097 2148 003231 2030 4652 2060 3044 5104 0745 1714 1400 1500 4401 2174 002997 2117 4679 2150 2979 5129 0772 1712 1500 1600 4689 2200 002790 2201 4704 2236 2914 5150 0799 1710 1600 1700 4965 2227 002606 2283 4727 2320 2850 5170 0822 1707 1700 1800 5230 2253 002441 2362 4749 2402 2786 5188 0849 1705 1800 1900 5483 2280 002292 2438 4769 2482 2722 5204 0873 1703 1900 2000 5727 2308 002157 2513 4787 2559 2659 5218 0896 1700 2000 2200 6190 2364 001921 2658 4817 2710 2530 5240 0939 1695 2200 2400 6621 2424 001721 2797 4843 2855 2401 5256 0981 1688 2400 2600 7027 2487 001549 2931 4862 2996 2269 5265 1020 1681 2600 2800 7410 2555 001398 3062 4875 3134 2132 5266 1060 1673 2800 3000 7772 2630 001263 3192 4881 3271 1989 5260 1097 1664 3000 3500 8601 2862 0009771 3514 4863 3614 1591 5205 1190 1633 3500 4000 9338 3279 0007151 3879 4747 4010 1023 5033 1295 1574 4000 4248 9670 4535 0004535 4349 4349 4542 00 4542 1437 1437 4248 750 Tables in SI Units TABLE A18 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 100 bar 10 MPa Tsat 2695C p 120 bar 12 MPa Tsat 3439C Sat 004606 4518 4979 1723 003810 4591 5048 1718 30 004696 4571 5041 1744 40 004980 4748 5246 1810 003957 4694 5169 1757 50 005248 4924 5449 1874 004204 4878 5382 1824 60 005505 5102 5652 1936 004436 5061 5593 1889 70 005752 5282 5857 1997 004657 5244 5803 1951 80 005992 5464 6063 2056 004869 5431 6015 2012 90 006226 5649 6272 2114 005075 5618 6227 2071 100 006456 5837 6483 2172 005275 5809 6442 2129 110 006681 6030 6698 2228 005470 6004 6660 2187 120 006903 6226 6916 2284 005662 6201 6880 2244 130 007122 6425 7137 2340 005851 6401 7103 2300 140 007338 6628 7362 2395 006037 6606 7330 2355 p 140 bar 14 MPa Tsat 4097C p 160 bar 16 MPa Tsat 4689C Sat 003231 4652 5104 1714 002790 4704 5150 1710 50 003446 4826 5308 1778 002861 4767 5225 1733 60 003664 5016 5529 1845 003075 4966 5458 1804 70 003869 5204 5746 1909 003270 5162 5685 1871 80 004063 5394 5963 1972 003453 5357 5909 1935 90 004249 5586 6181 2033 003626 5552 6132 1997 100 004429 5779 6399 2092 003792 5748 6355 2058 110 004604 5975 6620 2150 003952 5947 6579 2117 120 004774 6175 6843 2208 004107 6148 6805 2176 130 004942 6377 7069 2265 004259 6353 7034 2233 140 005106 6583 7298 2321 004407 6560 7265 2290 150 005268 6792 7530 2376 004553 6771 7499 2346 160 005428 7005 7765 2431 004696 6985 7736 2401 p 180 bar 18 MPa Tsat 5230C p 200 bar 20 MPa Tsat 5727C Sat 002441 4749 5188 1705 002157 4787 5218 1700 60 002606 4911 5380 1763 002216 4848 5291 1722 70 002798 5114 5618 1834 002412 5063 5545 1797 80 002974 5316 5851 1901 002585 5271 5788 1867 90 003138 5515 6080 1965 002744 5476 6025 1933 100 003293 5715 6308 2027 002892 5681 6259 1997 110 003443 5917 6537 2087 003033 5885 6492 2059 120 003586 6121 6766 2146 003169 6092 6726 2119 130 003726 6327 6998 2204 003299 6300 6960 2178 140 003863 6536 7231 2262 003426 6512 7197 2236 150 003996 6748 7467 2318 003550 6725 7435 2293 160 004127 6963 7706 2374 003671 6942 7676 2349 170 004256 7182 7948 2429 003790 7162 7920 2404 180 004383 7404 8193 2484 003907 7385 8166 2459 TABLE A18 Properties of Superheated Propane T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 005 bar 0005 MPa Tsat 9328C p 01 bar 001 MPa Tsat 8387C Sat 6752 3260 3598 2081 3542 3673 3708 2011 90 6877 3294 3638 2103 80 7258 3398 3761 2169 3617 3395 3757 2037 70 7639 3506 3888 2233 3808 3503 3884 2101 60 8018 3618 4019 2296 3999 3615 4015 2164 50 8397 3733 4153 2357 4190 3731 4150 2226 40 8776 3851 4290 2418 4380 3850 4288 2286 30 9155 3974 4432 2477 4570 3973 4430 2346 20 9533 4101 4578 2536 4760 4100 4576 2405 10 9911 4232 4728 2594 4950 4231 4726 2463 0 1029 4368 4882 2652 5139 4367 4881 2520 10 1067 4508 5041 2709 5329 4506 5039 2578 20 1105 2706 5204 2765 5518 4651 5203 2634 p 05 bar 005 MPa Tsat 5693C p 10 bar 01 MPa Tsat 4238C Sat 0796 3631 4029 1871 04185 3785 4203 1822 50 0824 3713 4125 1914 40 0863 3834 4266 1976 04234 3815 4238 1837 30 0903 3960 4411 2037 04439 3942 4386 1899 20 0942 4088 4559 2096 04641 4073 4537 1960 10 0981 4221 4711 2155 04842 4207 4691 2019 0 1019 4358 4867 2213 05040 4344 4848 2078 10 1058 4498 5027 2271 05238 4486 5010 2136 20 1096 4643 5191 2328 05434 4633 5176 2194 30 1135 4792 5359 2384 05629 4782 5345 2251 40 1173 4946 5532 2440 05824 4937 5519 2307 50 1211 5104 5709 2496 06018 5095 5697 2363 60 1249 5267 5891 2551 06211 5258 5879 2419 p 20 bar 02 MPa Tsat 2543C p 30 bar 03 MPa Tsat 1416C Sat 02192 3966 4404 1782 01496 4087 4536 1762 20 02251 4040 4490 1816 10 02358 4177 4649 1877 01527 4147 4605 1789 0 02463 4318 4811 1938 01602 4290 4771 1851 10 02566 4463 4976 1997 01674 4438 4940 1912 20 02669 4611 5145 2056 01746 4588 5112 1971 30 02770 4763 5317 2113 01816 4742 5287 2030 40 02871 4919 5493 2170 01885 4901 5466 2088 50 02970 5079 5673 2227 01954 5062 5648 2145 60 03070 5243 5857 2283 02022 5227 5834 2202 70 03169 5411 6045 2339 02090 5396 6023 2258 80 03267 5584 6237 2394 02157 5570 6217 2314 90 03365 5761 6434 2449 02223 5748 6415 2369 TABLE A18 Continued T C v m³kg u kJkg h kJkg s kJkg K v m³kg u kJkg h kJkg s kJkg K p 40 bar 04 MPa Tsat 546C p 50 bar 05 MPa Tsat 174C Sat 01137 4180 4635 1751 009172 4257 4716 1743 0 01169 4261 4729 1786 10 01227 4412 4903 1848 009577 4384 4863 1796 20 01283 4566 5079 1909 01005 4541 5043 1858 30 01338 4722 5257 1969 01051 4700 5225 1919 40 01392 4881 5438 2027 01096 4861 5409 1979 50 01445 5044 5622 2085 01140 5025 5595 2038 60 01498 5211 5810 2143 01183 5194 5785 2095 70 01550 5381 6001 2199 01226 5366 5979 2153 80 01601 5557 6197 2255 01268 5541 6175 2209 90 01652 5735 6396 2311 01310 5721 6376 2265 100 01703 5918 6599 2366 01351 5905 6580 2321 110 01754 6104 6806 2421 01392 6093 6789 2376 p 60 bar 06 MPa Tsat 793C p 70 bar 07 MPa Tsat 1341C Sat 007680 4322 4783 1737 006598 4380 4842 1733 10 007769 4356 4822 1751 20 008187 4515 5006 1815 006847 4488 4967 1776 30 008588 4677 5192 1877 007210 4652 5157 1840 40 008978 4840 5379 1938 007558 4819 5348 1901 50 009357 5007 5568 1997 007896 4987 5540 1962 60 009729 5176 5760 2056 008225 5159 5735 2021 70 01009 5350 5955 2113 008547 5334 5932 2079 80 01045 5527 6154 2170 008863 5512 6132 2137 90 01081 5707 6356 2227 009175 5694 6336 2194 100 01116 5892 6562 2283 009482 5879 6543 2250 110 01151 6080 6771 2338 009786 6068 6753 2306 120 01185 6273 6984 2393 01009 6262 6968 2361 p 80 bar 08 MPa Tsat 1833C p 90 bar 09 MPa Tsat 2282C Sat 005776 4431 4893 1729 005129 4472 4938 1726 20 005834 4459 4926 1740 30 006170 4627 5121 1806 005355 4600 5082 1774 40 006489 4796 5315 1869 005653 4772 5281 1839 50 006796 4967 5511 1930 005938 4947 5481 1901 60 007094 5140 5708 1990 006213 5122 5681 1962 70 007385 5316 5907 2049 006479 5300 5883 2022 80 007669 5496 6110 2107 006738 5481 6087 2081 90 007948 5679 6315 2165 006992 5665 6294 2138 100 008222 5865 6523 2221 007241 5852 6504 2195 110 008493 6056 6735 2277 007487 6043 6717 2252 120 008761 6250 6951 2333 007729 6237 6933 2307 130 009026 6448 7170 2388 007969 6436 7153 2363 140 009289 6650 7393 2442 008206 6638 7377 2418 Tables in SI Units 752 TABLE A18 Continued T C v m3kg u kJkg h kJkg s kJkg K v m3kg u kJkg h kJkg s kJkg K p 220 bar 22 MPa Tsat 6190C p 240 bar 24 MPa Tsat 6621C Sat 001921 4818 5240 1695 001721 4843 5256 1688 70 002086 5005 5464 1761 001802 4937 5369 1722 80 002261 5224 5721 1834 001984 5170 5646 1801 90 002417 5435 5967 1903 002141 5390 5904 1873 100 002561 5645 6208 1969 002283 5606 6154 1941 110 002697 5853 6446 2032 002414 5819 6398 2006 120 002826 6062 6684 2093 002538 6032 6641 2068 130 002949 6273 6922 2153 002656 6246 6883 2129 140 003069 6486 7161 2211 002770 6460 7125 2188 150 003185 6701 7402 2269 002880 6678 7369 2247 160 003298 6919 7645 2326 002986 6897 7614 2304 170 003409 7141 7891 2382 003091 7119 7861 2360 180 003517 7365 8139 2437 003193 7345 8111 2416 p 260 bar 26 MPa Tsat 7027C p 300 bar 30 MPa Tsat 7772C Sat 001549 4862 5265 1681 001263 4882 5260 1664 80 001742 5110 5563 1767 001318 4954 5349 1689 90 001903 5342 5837 1844 001506 5228 5680 1782 100 002045 5564 6096 1914 001654 5472 5968 1860 110 002174 5783 6348 1981 001783 5704 6239 1932 120 002294 6000 6596 2045 001899 5930 6500 1999 130 002408 6216 6842 2106 002007 6154 6756 2063 140 002516 6434 7088 2167 002109 6377 7010 2126 150 002621 6653 7334 2226 002206 6601 7263 2186 160 002723 6874 7582 2283 002300 6826 7516 2245 170 002821 7099 7832 2340 002390 7054 7771 2303 180 002918 7325 8084 2397 002478 7283 8026 2360 190 003012 7555 8338 2452 002563 7515 8284 2417 p 350 bar 35 MPa Tsat 8601C p 400 bar 40 MPa Tsat 9338C Sat 000977 4863 5205 1633 000715 4747 5033 1574 90 001086 5024 5405 1688 000940 5121 5497 1700 100 001270 5329 5773 1788 110 001408 5589 6082 1870 001110 5447 5891 1804 120 001526 5834 6368 1944 001237 5721 6216 1887 130 001631 6070 6641 2012 001344 5974 6512 1962 140 001728 6302 6907 2077 001439 6219 6795 2031 150 001819 6533 7170 2140 001527 6459 7070 2097 160 001906 6764 7431 2201 001609 6697 7341 2160 170 001989 6996 7692 2261 001687 6934 7609 2222 180 002068 7229 7953 2319 001761 7173 7877 2281 190 002146 7465 8216 2376 001833 7412 8145 2340 200 002221 7703 8480 2433 001902 7653 8414 2397 Propane 37 Tables in SI Units 753 TABLE A19 Properties of Selected Solids and Liquids cp ρ and κ Specific Heat cp kJkg K Density ρ kgm3 Thermal Conductivity κ Wm K Substance Selected Solids 300K Aluminium 0903 2700 237 Coal anthracite 1260 1350 026 Copper 0385 8930 401 Granite 0775 2630 279 Iron 0447 7870 802 Lead 0129 11300 353 Sand 0800 1520 027 Silver 0235 10500 429 Soil 1840 2050 052 Steel AISI 302 0480 8060 151 Tin 0227 7310 666 Building Materials 300K Brick common 0835 1920 072 Concrete stone mix 0880 2300 14 Glass plate 0750 2500 14 Hardboard siding 1170 640 0094 Limestone 0810 2320 215 Plywood 1220 545 012 Softwoods fir pine 1380 510 012 Insulating Materials 300K Blanket glass fiber 16 0046 Cork 1800 120 0039 Duct liner glass fiber coated 0835 32 0038 Polystyrene extruded 1210 55 0027 Vermiculite fill flakes 0835 80 0068 Saturated Liquids Ammonia 300K 4818 5998 0465 Mercury 300K 0139 13529 8540 Refrigerant 22 300K 1267 11831 0085 Refrigerant 134a 300K 1434 11997 0081 Unused Engine Oil 300K 1909 8841 0145 Water 275K 4211 9999 0574 300K 4179 9965 0613 325K 4182 9871 0645 350K 4195 9735 0668 375K 4220 9568 0681 400K 4256 9374 0688 Source Drawn from several sources these data are only representative Values can vary depending on temperature purity moisture content and other factors Table A19 38 Tables in SI Units 754 TABLE A20 Ideal Gas Specific Heats of Some Common Gases kJkg K cp cv k cp cv k cp cv k Temp K Air Nitrogen N2 Oxygen O2 Temp K 250 1003 0716 1401 1039 0742 1400 0913 0653 1398 250 300 1005 0718 1400 1039 0743 1400 0918 0658 1395 300 350 1008 0721 1398 1041 0744 1399 0928 0668 1389 350 400 1013 0726 1395 1044 0747 1397 0941 0681 1382 400 450 1020 0733 1391 1049 0752 1395 0956 0696 1373 450 500 1029 0742 1387 1056 0759 1391 0972 0712 1365 500 550 1040 0753 1381 1065 0768 1387 0988 0728 1358 550 600 1051 0764 1376 1075 0778 1382 1003 0743 1350 600 650 1063 0776 1370 1086 0789 1376 1017 0758 1343 650 700 1075 0788 1364 1098 0801 1371 1031 0771 1337 700 750 1087 0800 1359 1110 0813 1365 1043 0783 1332 750 800 1099 0812 1354 1121 0825 1360 1054 0794 1327 800 900 1121 0834 1344 1145 0849 1349 1074 0814 1319 900 1000 1142 0855 1336 1167 0870 1341 1090 0830 1313 1000 Temp K Carbon Dioxide CO2 Carbon Monoxide CO Hydrogen H2 Temp K 250 0791 0602 1314 1039 0743 1400 14051 9927 1416 250 300 0846 0657 1288 1040 0744 1399 14307 10183 1405 300 350 0895 0706 1268 1043 0746 1398 14427 10302 1400 350 400 0939 0750 1252 1047 0751 1395 14476 10352 1398 400 450 0978 0790 1239 1054 0757 1392 14501 10377 1398 450 500 1014 0825 1229 1063 0767 1387 14513 10389 1397 500 550 1046 0857 1220 1075 0778 1382 14530 10405 1396 550 600 1075 0886 1213 1087 0790 1376 14546 10422 1396 600 650 1102 0913 1207 1100 0803 1370 14571 10447 1395 650 700 1126 0937 1202 1113 0816 1364 14604 10480 1394 700 750 1148 0959 1197 1126 0829 1358 14645 10521 1392 750 800 1169 0980 1193 1139 0842 1353 14695 10570 1390 800 900 1204 1015 1186 1163 0866 1343 14822 10698 1385 900 1000 1234 1045 1181 1185 0888 1335 14983 10859 1380 1000 Source Adapted from K Wark Thermodynamics 4th ed McGrawHill New York 1983 as based on Tables of Thermal Properties of Gases NBS Circular 564 1955 Table A20 TABLE A21 Variation of cp with Temperature for Selected Ideal Gases cp R α βT γT2 δT3 εT4 T is in K equations valid from 300 to 1000 K Gas α β 103 γ 106 δ 109 ε 1012 CO 3710 1619 3692 2032 0240 CO2 2401 8735 6607 2002 0 H2 3057 2677 5810 5521 1812 H2O 4070 1108 4152 2964 0807 O2 3626 1878 7055 6764 2156 N2 3675 1208 2324 0632 0226 Air 3653 1337 3294 1913 02763 SO2 3267 5324 0684 5281 2559 CH4 3826 3979 24558 22733 6963 C2H2 1410 19057 24501 16391 4135 C2H4 1426 11383 7989 16254 6749 Monatomic gasesa 25 0 0 0 0 aFor monatomic gases such as He Ne and Ar cp is constant over a wide temperature range and is very nearly equal to 52 R Source Adapted from K Wark Thermodynamics 4th ed McGrawHill New York 1983 as based on NASA SP273 US Government Printing Office Washington DC 1971 TABLE A22 Ideal Gas Properties of Air TK h and ukJkg s kJkg K when Δs 01 when Δs 0 T h u s pr vr T h u s pr vr 200 19997 14256 129559 03363 1707 450 45180 32262 211161 5775 2236 210 20997 14969 134444 03987 1512 460 46202 32997 213407 6245 2114 220 21997 15682 139105 04690 1346 470 47224 33732 215604 6742 2001 230 23002 16400 143557 05477 1205 480 48249 34470 217760 7268 1895 240 24002 17113 147824 06355 1084 490 49274 35208 219876 7824 1797 250 25005 17828 151917 07329 979 500 50302 35949 221952 8411 1706 260 26009 18545 155848 08405 8878 510 51332 36692 223993 9031 1621 270 27011 19260 159634 09590 8080 520 52363 37436 225997 9684 1541 280 28013 19975 163279 10889 7380 530 53398 38184 227967 1037 1467 285 28514 20333 165055 11584 7061 540 54435 38934 229906 1110 1397 290 29016 20691 166802 12311 6761 550 55474 39686 231809 1186 1331 295 29517 21049 168515 13068 6479 560 56517 40442 233685 1266 1270 300 30019 21407 170203 13860 6212 570 57559 41197 235531 1350 1212 305 30522 21767 171865 14686 5960 580 58604 41955 237348 1438 1157 310 31024 22125 173498 15546 5723 590 59652 42715 239140 1531 1106 315 31527 22485 175106 16442 5498 600 60702 43478 240902 1628 1058 320 32029 22842 176690 17375 5286 610 61753 44242 242644 1730 1012 325 32531 23202 178249 18345 5084 620 62807 45009 244356 1836 9692 330 33034 23561 179783 19352 4894 630 63863 45778 246048 1984 9284 340 34042 24282 182790 2149 4541 640 64922 46550 247716 2064 8899 350 35049 25002 185708 2379 4222 650 65984 47325 249364 2186 8534 360 36058 25724 188543 2626 3934 660 67047 48101 250985 2313 8189 370 37067 26446 191313 2892 3672 670 68114 48881 252589 2446 7861 380 38077 27169 194001 3176 3434 680 69182 49662 254175 2585 7550 390 39088 27893 196633 3481 3215 690 70252 50445 255731 2729 7256 400 40098 28616 199194 3806 3016 700 71327 51233 257277 2880 6976 410 41112 29343 201699 4153 2833 710 72404 52023 258810 3038 6707 420 42126 30069 204142 4522 2666 720 73482 52814 260319 3202 6453 430 43143 30799 206533 4915 2511 730 74562 53607 261803 3372 6213 440 44161 31530 208870 5332 2368 740 75644 54402 263280 3550 5982 1 pr and vr data for use with Eqs 643 and 644 respectively TABLE A22 Continued TK h and ukJkg s kJkg K when Δs 01 when Δs 0 T h u s pr vr T h u s pr vr 750 76729 55199 264737 3735 5763 1300 139597 102282 327345 3309 11275 760 77818 56001 266176 3927 5554 1320 141976 104088 329160 3525 10747 770 78911 56807 267595 4131 5339 1340 144360 105894 330959 3753 10247 780 80003 57612 269013 4335 5164 1360 146749 107710 332724 3991 9780 790 81099 58421 270400 4555 4986 1380 149144 109526 334474 4242 9337 800 82195 59230 271787 4775 4808 1400 151542 111352 336200 4505 8919 820 84398 60859 274504 5259 4484 1420 153944 113177 337901 4780 8526 840 86008 62495 277170 5760 4185 1440 156351 115013 339586 5069 8153 860 88827 64140 279783 6309 3912 1460 158763 116849 341247 5371 7801 880 91056 65795 282344 6898 3661 1480 161179 118695 342892 5688 7468 900 93293 67458 284856 7529 3431 1500 163597 120541 344516 6019 7152 920 95538 69128 287324 8205 3218 1520 166023 122387 346120 6365 6854 940 97792 70808 289748 8928 3022 1540 168451 124243 347712 6728 6569 960 100055 72502 292128 9700 2840 1560 170882 126099 349276 7105 6301 980 102325 74198 294468 1052 2673 1580 173317 127965 350829 7500 6046 1000 104604 75894 296770 1140 2517 1600 175757 129830 352364 7912 5804 1020 106889 77610 299034 1234 2372 1620 178200 131696 353879 8341 5574 1040 109185 79336 301260 1333 2239 1640 180646 133572 355381 8789 5355 1060 111486 81062 303449 1439 2114 1660 183096 135448 356867 9256 5147 1080 113789 82788 305608 1552 1998 1680 185550 137324 358335 9742 4949 1100 116107 84533 307732 1671 18896 1700 18801 13927 35979 1025 4761 1120 118428 86279 309825 1797 17886 1750 19416 14398 36336 1161 4328 1140 120757 88035 311883 1931 16946 1800 20033 14872 36684 1310 3944 1160 123092 89791 313916 2072 16064 1850 20653 15349 37023 1475 3601 1180 125434 91557 315916 2222 15241 1900 21274 15826 37354 1655 3295 1200 127779 93333 317888 2380 14470 1950 21897 16306 37677 1852 3022 1220 130131 95109 319834 2547 13747 2000 22521 16787 37994 2068 2776 1240 132493 96895 321751 2723 13069 2050 23146 17268 38303 2303 2555 1260 134855 98690 323638 2908 12435 2100 23774 17753 38605 2559 2356 1280 137224 100476 325510 3104 11835 2150 24403 18238 38901 2837 2175 2200 25032 18724 39191 3138 2012 2250 25664 19213 39474 3464 1864 Source Tables A22 are based on J H Keenan and J Kaye Gas Tables Wiley New York 1945 TABLE A23 Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 220 230 240 250 260 270 280 290 298 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 hin 6391 6891 7395 7904 8419 7558 7849 8141 7747 8155 8559 8963 9371 9781 10181 10480 10763 11034 11347 11640 12010 12373 12751 13153 13563 13975 14386 14786 15153 15499 15846 16197 16566 16968 17394 17828 15406 16363 16998 17262 17655 u 4562 4770 4979 5188 5398 5396 5604 5813 6021 6229 6437 6645 6853 7061 7270 7473 7687 7894 8104 8314 8533 8753 8973 9195 9415 9635 9851 10063 10263 10463 10635 10762 10804 10906 11047 11188 11321 11438 11525 11562 11630 cbarp 0002 0005 0007 0010 0013 0011 0016 0020 0025 0030 0034 0038 0042 0046 0050 0053 0054 0051 0049 0058 0062 0063 0059 0054 0052 0050 0053 0058 0059 0056 0051 0045 0045 0046 0047 0046 0047 0052 0059 0061 0063 hin 6971 7443 7919 8399 8884 8517 8931 9346 9764 10183 10603 11023 11443 11861 12274 12678 13071 13451 13816 14181 14634 15035 15477 15956 16466 16999 17549 18107 18671 19237 19791 20325 20820 21265 21650 21976 21962 22435 23097 23437 23860 hin 7775 8276 8784 9298 9820 9364 9795 10229 10665 11102 11539 11976 12411 12841 13263 13674 14068 14446 14804 15161 15604 16025 16509 16995 17502 18031 18567 19102 19646 20191 20726 21232 21696 22108 22463 22758 22701 23122 23728 24068 24483 u 5408 5645 5882 6117 6353 6351 6588 6825 7062 7299 7535 7771 8007 8244 8479 8713 8944 9171 9393 9612 9843 10068 10310 10600 10855 11122 11391 11661 11931 12198 12459 12712 12948 13161 13378 13591 13574 14059 14692 15037 15389 hin 3907 4077 4249 4425 4601 4442 4584 4727 4868 5013 5157 5302 5445 5587 5726 5860 5983 6088 6175 6259 6362 6454 6595 6792 7030 7309 7615 7939 8273 8618 8963 9302 9628 9930 10196 10413 10390 10798 11337 11621 11913 u 0439 0460 0482 0503 0524 0522 0544 0565 0586 0608 0629 0650 0671 0692 0713 0734 0755 0776 0798 0819 0840 0861 0881 0899 0899 0880 0857 0833 0813 0794 0776 0758 0740 0721 0703 0686 0668 0656 0653 0654 0655 hin 17088 17490 17903 18325 18758 19507 19952 20406 20868 21337 21808 22276 22738 23190 23629 24050 24450 24826 25173 25520 25939 26338 26810 27379 28047 28818 29675 30590 31545 32519 33497 34462 35394 36275 37087 37819 38563 38812 39461 39814 40186 hin 22879 23369 23874 24390 24921 25838 26485 27164 27874 28610 29365 30133 30912 31696 32481 33257 34015 34749 35453 36147 36883 37582 38352 39194 40156 41236 42440 43765 45115 46486 47871 49261 50635 51979 53269 54491 55669 56374 57023 57449 57926 u 14380 14741 15112 15496 15894 16758 17270 17817 18403 19021 19661 20316 20981 21654 22331 23005 23665 24302 24910 25513 26117 26712 27306 27949 28641 29393 30198 31047 31929 32833 33750 34669 35578 36466 37320 38133 38900 39182 39675 39958 40271 hin 49462 51059 52666 54285 55917 58051 59960 61806 63602 65349 67053 68709 70308 71847 73320 74726 76058 77318 78502 79615 80661 81645 82572 83442 84262 85034 85766 86460 87127 87778 88415 89047 89682 90325 90984 91669 92384 93139 93946 94822 95787 u 44893 45996 47105 48218 49333 51962 53674 55275 56770 58168 59485 60729 61904 63016 64069 65066 66011 66909 67765 68582 69362 70108 70823 71507 72161 72787 73386 73961 74514 75047 75563 76061 76543 77008 77457 77889 78303 78699 79075 79432 79771 TABLE A23 Continued Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 600 610 620 630 640 650 660 670 680 690 700 710 720 730 740 750 760 770 780 790 800 810 820 830 840 850 860 870 880 890 900 910 920 930 940 950 960 970 980 990 hin 17564 17864 18186 18468 18770 19075 19390 19716 20053 20399 20756 21109 21458 21799 22130 22481 22833 23199 23575 23957 24352 24767 25200 25663 26155 26684 27254 27869 28533 29240 29985 30763 31567 32393 33236 34086 34940 35796 36652 37509 38356 u 13720 14001 14273 14537 14792 15040 15282 15517 15745 15967 16184 16396 16604 16808 17010 17213 17419 17631 17851 18078 18311 18553 18806 19070 19348 19642 19954 20288 20645 21030 21444 21888 22359 22852 23361 23881 24408 24934 25455 25971 26480 hin 18681 18892 19117 19370 19649 19954 20281 20630 20999 21383 21781 22192 22612 23041 23475 23913 24351 24787 25214 25627 26021 26392 26737 27054 27346 27608 27841 28045 28218 28359 28471 28553 28607 28637 28650 28656 28662 28683 28729 28811 28900 u 10376 10589 10812 11056 11320 11603 11905 12224 12561 12913 13279 13654 14038 14424 14814 15206 15600 15992 16381 16759 17127 17483 17823 18146 18448 18727 18981 19206 19398 19556 19675 19754 19791 19788 19756 19708 19660 19627 19627 19664 19732 hin 4686 4815 4945 5079 5217 5359 5507 5658 5812 5968 6125 6284 6444 6604 6764 6923 7080 7236 7388 7537 7682 7822 7956 8083 8201 8307 8400 8478 8541 8579 8597 8596 8583 8566 8550 8537 8527 8517 8512 8517 8528 u 0665 0677 0692 0709 0727 0757 0803 0879 0965 1040 1086 1092 1072 1045 1022 1015 1023 1052 1126 1246 1408 1587 1762 1915 2031 2102 2122 2093 2025 1934 1844 1783 1759 1767 1792 1822 1848 1863 1868 1868 1870 0025 hin 42066 42564 43067 43577 44093 44827 45247 45685 46140 46611 47097 47597 48110 48633 49165 49704 50249 50796 51341 51879 52404 52913 53395 53844 54256 54633 54972 55266 55514 55720 55880 56000 56086 56146 56188 56215 56233 56250 56274 56317 56389 u 21206 21254 21300 21346 21392 21504 21695 21950 22259 22602 22963 23333 23708 24085 24463 24842 25221 25597 25970 26337 26697 27049 27391 27698 27984 28248 28486 28699 28885 29048 29189 29310 29410 29491 29557 29613 29661 29709 29764 29836 29931 hin 23983 24224 24471 24725 24985 25493 25886 26302 26741 27202 27682 28178 28691 29218 29757 30307 30865 31430 32000 32570 33137 33698 34250 34783 35295 35778 36224 36628 36984 37288 37539 37733 37876 37969 38027 38062 38093 38141 38223 38339 38481 hin 30129 30144 30184 30249 30340 30478 30654 30870 31124 31414 31737 32088 32463 32863 33282 33720 34170 34628 35087 35540 35983 36406 36798 37149 37447 37685 37858 37962 38014 38031 38031 38031 38055 38147 38328 38574 38860 39169 39493 39820 40139 TABLE A23 Continued Ideal Gas Properties of Selected Gases Carbon Dioxide CO2 r0f 393520 kJkmol Carbon Monoxide CO r0f 110350 kJkmol Water Vapor H2O r0f 241820 kJkmol Oxygen O2 r0f 0 kJkmol Nitrogen N2 r0f 0 kJkmol T 1000 1020 1040 1060 1080 1100 1120 1140 1160 1180 1200 1220 1240 1260 1280 1300 1320 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 1540 1560 1580 1600 1620 1640 1660 1680 1700 1720 1740 hin 22815 22906 23006 23112 23226 23347 23472 23602 23735 23869 24003 24137 24269 24400 24527 24652 24773 24889 25000 25104 25202 25294 25378 25455 25524 25586 25641 25687 25725 25753 25771 25779 25779 25793 25843 25926 26038 26170 26319 26475 26629 u 10129 10144 10184 10249 10340 10478 10654 10870 11124 11414 11737 12088 12463 12863 13282 13720 14170 14628 15087 15540 15983 16406 16798 17149 17447 17685 17858 17962 18014 18031 18031 18031 18055 18147 18328 18574 18860 19169 19493 19820 20139 hin 31471 31604 31844 32188 32636 33176 33792 34477 35217 36002 36819 37657 38509 39363 40203 41017 41799 42545 43259 43949 44628 45304 45976 46639 47285 47912 48515 49096 49645 50161 50637 51073 51478 51870 52290 52824 53439 54074 54693 55276 55816 u 23407 23502 23617 23753 23919 24119 24355 24633 24958 25334 25755 26215 26709 27230 27767 28314 28865 29413 29951 30472 30969 31437 31872 32272 32635 32959 33241 33474 33652 33764 33799 33747 33663 33582 33603 33783 34151 34638 35180 35699 36180 hin 43404 43574 43893 44365 44995 45774 46698 47763 48959 50267 51668 53136 54641 56142 57607 59020 60367 61638 62828 63932 64955 65899 66772 67578 68323 69013 69653 70250 70808 71332 71826 72295 72740 73162 73563 73977 74452 75002 75608 76231 76838 u 35041 35048 35154 35378 35723 36188 36774 37476 38263 39118 40013 40927 41852 42782 43699 44585 45433 46244 47016 47749 48446 49104 49719 50288 50813 51289 51714 52084 52391 52628 52789 52862 52854 52818 52887 53135 53551 54089 54678 55247 55742 TABLE A23 Continued Carbon Dioxide CO2 hof 393520 extkJkmol Water Vapor H2O hof 241820 extkJkmol Oxygen O2 hof 0 extkJkmol Nitrogen N2 hof 0 extkJkmol T 1760 1780 1800 1820 1840 1860 1880 1900 1920 1940 1960 1980 2000 2050 2100 2150 2200 2250 2300 2350 2400 2450 2500 2550 2600 2650 2700 2750 2800 2850 2900 2950 3000 3050 3100 3150 3200 3250 Carbon Monoxide CO overlineCop extFK hof and overlineSo kJkmol K barcp 86420 87612 88806 90000 91196 92394 93593 94795 95999 97197 98401 99600 100800 103885 106935 109985 112999 115984 118933 121840 124711 127548 130355 133135 135889 138620 141331 144025 146705 149374 152033 154682 157324 159959 162588 165211 167829 170442 barh 77787 78381 78997 79629 80291 80991 81734 82518 83349 84220 85126 86063 87021 88541 90102 91693 93306 94931 96567 98206 99848 101492 103137 104781 106426 108071 109715 111360 113003 114646 116289 117931 119572 121214 122855 124497 126138 127782 bars 301543 301227 300884 300498 300067 299590 299060 298476 297840 297157 296428 295658 294855 292556 290353 288241 286217 284274 282409 280615 278887 277217 275599 274030 272503 271013 269554 268121 266712 265324 263954 262603 261269 259949 258644 257351 256069 254797 hof 70553 70635 70720 70809 70900 70995 71093 71193 71297 71403 71512 71623 71737 72445 73330 74399 75651 77085 78699 80485 82440 84561 86843 89282 91873 94611 97493 100511 103658 106927 110312 113806 117403 121098 124886 128763 132724 136762 sigmao 56227 57631 57661 57651 59075 59090 60904 60992 61320 62634 62654 64634 64885 64889 66871 68284 69587 70764 71871 72712 73576 74049 75748 77094 79320 81149 82981 84314 86148 87738 88488 88831 92171 95899 97705 99100 106972 110690 epsilono 41594 42130 42685 43139 43777 44373 44877 45473 45972 46432 46907 47627 47904 48510 47627 49587 49567 49621 59363 56815 56017 56840 56676 55453 53749 52351 53140 55553 56676 57064 59366 59366 60373 61795 63013 63613 65083 83668 TABLE A24 Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 1 van der Waals and RedlichKwong Constants for pressure in bar specific volume in m³kmol and temperature in K Substance van der Waals RedlichKwong a leftfracm3kmolright2 b fracm3kmol a bark b bar kmol bar kmol Air 1368 00367 15989 002541 Butane C4H10 1386 01162 28955 008060 Carbon dioxide CO2 3647 00428 6443 002963 Carbon monoxide CO 1474 00395 1722 002737 Methane CH4 2293 00428 3211 002965 Nitrogen N2 1366 00386 1553 002677 Oxygen O2 1369 00317 1722 002197 Propane C3H8 9349 00901 18223 006242 Refrigerant 12 1049 00971 20859 006731 Sulfur dioxide SO2 6883 00569 14480 003945 Water H2O 5531 00305 14259 002111 2 BenedictWebbRubin Constants for pressure in bar specific volume in m³kmol and temperature in K Substance a A b B c C alpha gamma C4H10 19073 10218 0039998 012436 3206 imes 105 1006 imes 106 1101 imes 103 00340 CO2 01386 27737 0007210 004991 1512 imes 104 1404 imes 105 847 imes 105 000539 CO 00371 13590 0002632 005454 1054 imes 103 8676 imes 103 1350 imes 104 00060 CH4 00501 18796 0003380 004260 2579 imes 103 2287 imes 104 1244 imes 104 00060 N2 00254 10676 0002328 004074 7381 imes 102 8166 imes 103 1272 imes 104 00053 TABLE A25 Thermochemical Properties of Selected Substances at 298K and 1 atm Substance Formula Molar Mass M kgkmol Enthalpy of Formation barhof kJkmol Gibbs Function of Formation bargof kJkmol Absolute Entropy barso kJkmol K Heating Values Higher HHV kJkg Lower LHV kJkg Carbon Cs 1201 0 0 574 32770 32770 Hydrogen H2g 2016 0 0 13057 141780 119950 Nitrogen N2g 2801 0 0 19150 Oxygen O2g 3200 0 0 20503 Carbon monoxide COg 2801 110530 137150 19754 Carbon dioxide CO2g 4401 393520 394380 21369 Water H2Og 1802 241820 228590 18872 Water H2Ol 1802 285830 237180 6995 Hydrogen peroxide H2O2g 3402 136310 105600 23263 Ammonia NH3g 1703 46190 16590 19233 Oxygen Og 1600 249170 231770 16095 Hydrogen Hg 1008 218000 203290 11461 Nitrogen Ng 1401 472680 455510 15319 Hydroxyl OHg 1701 39460 34280 18375 Methane CH4g 1604 74850 50790 18616 55510 50020 Acetylene C2H2g 2604 226730 209170 20085 49910 48220 Ethylene C2H2g 2805 52280 68120 21983 50300 47160 Ethane C2H6g 3007 84680 32890 22949 51870 47480 Propylene C3H6g 4208 20410 62720 26694 48920 45780 Propane C3H8g 4409 103850 23490 26991 50350 46360 Butane C4H10g 5812 126150 15710 31003 49500 45720 Pentane C5H12g 7215 146440 8200 34840 49010 45350 Octane C8H18g 11422 208450 17320 46367 48260 44790 Octane C8H18l 11422 249910 6610 36079 47900 44430 Benzene C6H6g 7811 82930 129660 26920 42270 40580 Methyl alcohol CH3OHg 3204 200890 162140 23970 23850 21110 Methyl alcohol CH3OHl 3204 238810 166290 12680 22670 19920 Ethyl alcohol C2H5OHg 4607 235310 168570 28259 30590 27720 Ethyl alcohol C2H5OHl 4607 277690 174890 16070 29670 26800 TABLE A26 Standard Molar Chemical Exergy ech kJkmol of Selected Substances at 298 K and p₀ Substance Formula Model Ia Model IIb Nitrogen N2g 640 720 Oxygen O2g 3950 3970 Carbon dioxide CO2g 14175 19870 Water H2Og 8635 9500 Water H2Ol 45 900 Carbon graphite Cs 404590 410260 Hydrogen H2g 235250 236100 Sulfur Ss 598160 609600 Carbon monoxide COg 269410 275100 Sulfur dioxide SO2g 301940 313400 Nitrogen monoxide NOg 88850 88900 Nitrogen dioxide NO2g 55565 55600 Hydrogen sulfide H2Sg 799890 812000 Ammonia NH3g 336685 337900 Methane CH4g 824350 831650 Ethane C2H6g 1482035 1495840 Methyl alcohol CH3OHg 715070 722300 Methyl alcohol CH3OHl 710745 718000 Ethyl alcohol C2H5OHg 1348330 1363900 Ethyl alcohol C2H5OHl 1342085 1357700 aJ Ahrendts Die Exergie Chemisch Reaktionsfähiger Systeme VDIForschungsheft VDIVerlag Dusseldorf 579 1977 Also see Reference States EnergyThe International Journal 5 667677 1980 In Model I p₀ 1019 atm This model attempts to impose a criterion that the reference environment be in equilibrium The reference substances are determined assuming restricted chemical equilibrium for nitric acid and nitrates and unrestricted thermodynamic equilibrium for all other chemical components of the atmosphere the oceans and a portion of the Earths crust The chemical composition of the gas phase of this model approximates the composition of the natural atmosphere bJ Szargut D R Morris and F R Steward Exergy Analysis of Thermal Chemical and Metallurgical Processes Hemisphere New York 1988 In Model II p₀ 10 atm In developing this model a reference substance is selected for each chemical element from among substances that contain the element being considered and that are abundantly present in the natural environment even though the substances are not in completely mutual stable equilibrium An underlying rationale for this approach is that substances found abundantly in nature have little economic value On an overall basis the chemical composition of the exergy reference environment of Model II is closer than Model I to the composition of the natural environment but the equilibrium criterion is not always satisfied TABLE A27 Logarithms to the Base 10 of the Equilibrium Constant K Temp K H2 2H O2 2O N2 2N ½O2 ½N2 NO H2O H2 ½O2 H2O OH ½H2 CO2 CO ½O2 CO2 H2 CO H2O Temp R 298 71224 81208 159600 15171 40048 46054 45066 5018 537 500 40316 45880 92672 8783 22886 26130 25025 2139 900 1000 17292 19614 43056 4062 10062 11280 10221 0159 1800 1200 13414 15208 34754 3275 7899 8811 7764 0135 2160 1400 10630 12054 28812 2712 6347 7021 6014 0333 2520 1600 8532 9684 24350 2290 5180 5677 4706 0474 2880 1700 7666 8706 22512 2116 4699 5124 4169 0530 3060 1800 6896 7836 20874 1962 4270 4613 3693 0577 3240 1900 6204 7058 19410 1823 3886 4190 3267 0619 3420 2000 5580 6356 18092 1699 3540 3776 2884 0656 3600 2100 5016 5720 16898 1586 3227 3434 2539 0688 3780 2200 4502 5142 15810 1484 2942 3091 2226 0716 3960 2300 4032 4614 14818 1391 2682 2809 1940 0742 4140 2400 3600 4130 13908 1305 2443 2520 1679 0764 4320 2500 3202 3684 13070 1227 2224 2270 1440 0784 4500 2600 2836 3272 12298 1154 2021 2038 1219 0802 4680 2700 2494 2892 11580 1087 1833 1823 1015 0818 4860 2800 2178 2536 10914 1025 1658 1624 0825 0833 5040 2900 1882 2206 10294 0967 1495 1438 0649 0846 5220 3000 1606 1898 9716 0913 1343 1265 0485 0858 5400 3100 1348 1610 9174 0863 1201 1103 0332 0869 5580 3200 1106 1340 8664 0815 1067 0951 0189 0878 5760 3300 0878 1086 8186 0771 0942 0809 0054 0888 5940 3400 0664 0846 7736 0729 0824 0674 0071 0895 6120 3500 0462 0620 7312 0690 0712 0547 0190 0902 6300 Source Based on data from the JANAF Thermochemical Tables NSRDSNBS37 1971 Index to Tables in English Units TABLE A1E Atomic or Molecular Weights and Critical Properties of Selected Elements and Compounds 767 TABLE A2E Properties of Saturated Water LiquidVapor Temperature Table 768 TABLE A3E Properties of Saturated Water LiquidVapor Pressure Table 770 TABLE A4E Properties of Superheated Water Vapor 772 TABLE A5E Properties of Compressed Liquid Water 778 TABLE A6E Properties of Saturated Water SolidVapor Temperature Table 779 TABLE A7E Properties of Saturated Refrigerant 22 LiquidVapor Temperature Table 780 TABLE A8E Properties of Saturated Refrigerant 22 LiquidVapor Pressure Table 781 TABLE A9E Properties of Superheated Refrigerant 22 Vapor 782 TABLE A10E Properties of Saturated Refrigerant 134a LiquidVapor Temperature Table 786 TABLE A11E Properties of Saturated Refrigerant 134a LiquidVapor Pressure Table 787 TABLE A12E Properties of Superheated Refrigerant 134 Vapor 788 TABLE A13E Properties of Saturated Ammonia LiquidVapor Temperature Table 791 TABLE A14E Properties of Saturated Ammonia LiquidVapor Pressure Table 792 TABLE A15E Properties of Superheated Ammonia Vapor 793 TABLE A16E Properties of Saturated Propane LiquidVapor Temperature Table 797 TABLE A17E Properties of Saturated Propane LiquidVapor Pressure Table 798 TABLE A18E Properties of Superheated Propane Vapor 799 TABLE A19E Properties of Selected Solids and Liquids cp ρ and κ 803 TABLE A20E Ideal Gas Specific Heats of Some Common Gases 804 TABLE A21E Variation of cp with Temperature for Selected Ideal Gases 805 TABLE A22E Ideal Gas Properties of Air 806 TABLE A23E Ideal Gas Properties of Selected Gases 808 TABLE A24E Constants for the van der Waals RedlichKwong and BenedictWebbRubin Equations of State 812 TABLE A25E Thermochemical Properties of Selected Substances at 537R and 1 atm 813 TABLE A1E Atomic or Molecular Weights and Critical Properties of Some Selected Elements and Compounds Chemical M Tc pc Substance Formula lblbmol R atm Zc pcvc RTc Acetylene C2H2 2604 556 62 0274 Air equivalent 2897 239 372 0284 Ammonia NH3 1703 730 1113 0242 Argon Ar 3994 272 4797 0290 Benzene C6H6 7811 1013 487 0274 Butane C4H10 5812 765 375 0274 Carbon C 1201 Carbon dioxide CO2 4401 548 729 0276 Carbon monoxide CO 2801 239 345 0294 Copper Cu 6354 Ethane C2H6 3007 549 482 0285 Ethyl alcohol C2H5OH 4607 929 630 0249 Ethylene C2H4 2805 510 505 0270 Helium He 4003 933 226 0300 Hydrogen H2 2016 598 128 0304 Methane CH4 1604 344 458 0290 Methyl alcohol CH3OH 3204 924 785 0220 Nitrogen N2 2801 227 335 0291 Octane C8H18 11422 1025 246 0258 Oxygen O2 3200 278 498 0290 Propane C3H8 4409 666 421 0276 Propylene C3H6 4208 657 456 0276 Refrigerant 12 CCl2F2 12092 693 406 0278 Refrigerant 22 CHClF2 8648 665 491 0267 Refrigerant 134a CF3CH2F 10203 673 402 0260 Sulfur dioxide SO2 6406 775 777 0268 Water H2O 1802 1165 2180 0233 Sources Adapted from International Critical Tables and L C Nelson and E F Obert Generalized Compressibility Charts Chem Eng 617 203 1954 TABLE A2E Properties of Saturated Water LiquidVapor Temperature Table Temp F Press lbfin² Specific Volume ft³lb Internal Energy Btulb Enthalpy Btulb Entropy Btulb R Sat Liquid vℓ Sat Vapor vg Sat Liquid uℓ Sat Vapor ug Sat Liquid hℓ Evap hℓg Sat Vapor hg Sat Liquid sℓ Sat Vapor sg Temp F 32 00886 001602 3305 001 10212 001 10754 10754 000003 21870 32 35 00999 001602 2948 299 10222 300 10737 10767 000607 21764 35 40 01217 001602 2445 802 10239 802 10709 10789 001617 21592 40 45 01475 001602 2037 1304 10255 1304 10681 10811 002618 21423 45 50 01780 001602 1704 1806 10272 1806 10652 10833 003607 21259 50 52 01917 001603 1589 2006 10278 2007 10641 10842 004000 21195 52 54 02064 001603 1482 2207 10285 2207 10630 10851 004391 21131 54 56 02219 001603 1383 2408 10291 2408 10619 10859 004781 21068 56 58 02386 001603 1292 2608 10298 2608 10607 10868 005159 21005 58 60 02563 001604 1207 2808 10304 2808 10596 10877 005555 20943 60 62 02751 001604 1129 3009 10311 3009 10585 10886 005940 20882 62 64 02952 001604 1056 3209 10318 3209 10573 10894 006323 20821 64 66 03165 001604 9884 3409 10324 3409 10562 10903 006704 20761 66 68 03391 001605 9258 3609 10331 3609 10551 10912 007084 20701 68 70 03632 001605 8677 3809 10337 3809 10540 10920 007463 20642 70 72 03887 001606 8137 4009 10344 4009 10528 10929 007839 20584 72 74 04158 001606 7635 4209 10350 4209 10517 10938 008215 20526 74 76 04446 001606 7168 4409 10357 4409 10506 10947 008589 20469 76 78 04750 001607 6733 4609 10363 4609 10494 10955 008961 20412 78 80 05073 001607 6328 4808 10370 4809 10483 10964 009332 20356 80 82 05414 001608 5950 5008 10376 5008 10472 10973 009701 20300 82 84 05776 001608 5598 5208 10383 5208 10460 10981 01007 20245 84 86 06158 001609 5270 5408 10389 5408 10449 10990 01044 20190 86 88 06562 001609 4963 5607 10396 5607 10438 10999 01080 20136 88 90 06988 001610 4677 5807 10402 5807 10427 11007 01117 20083 90 92 07439 001611 4409 6006 10409 6006 10415 11016 01153 20030 92 94 07914 001611 4159 6206 10415 6206 10404 11024 01189 19977 94 96 08416 001612 3924 6405 10412 6406 10392 11033 01225 19925 96 98 08945 001612 3705 6605 10428 6605 10381 11042 01261 19874 98 100 09503 001613 3500 6804 10435 6805 10370 11050 01296 19822 100 110 1276 001617 2651 7802 10467 7802 10313 11093 01473 19574 110 120 1695 001621 2030 8799 10499 8800 10255 11135 01647 19336 120 130 2225 001625 1572 9797 10530 9798 10198 11178 01817 19109 130 140 2892 001629 1229 10795 10562 10796 10140 11219 01985 18892 140 150 3722 001634 970 11795 10593 11796 10081 11261 02150 18684 150 160 4745 001640 772 12794 10623 12796 10022 11301 02313 18484 160 170 5996 001645 620 13795 10654 13797 9962 11342 02473 18293 170 180 7515 001651 502 14797 10683 14799 9902 11382 02631 18109 180 190 9343 001657 410 15800 10713 15803 9841 11421 02787 17932 190 200 11529 001663 336 16804 10742 16807 9779 11459 02940 17762 200 TABLE A2E Continued Temp F Press lbfin² Specific Volume ft³lb Internal Energy Btulb Enthalpy Btulb Entropy Btulb R Sat Liquid vℓ Sat Vapor vg Sat Liquid uℓ Sat Vapor ug Sat Liquid hℓ Evap hℓg Sat Vapor hg Sat Liquid sℓ Sat Vapor sg Temp F 210 1413 001670 2782 1781 10770 1781 9716 11497 03091 17599 210 212 1470 001672 2680 1801 10776 1802 9703 11505 03121 17567 212 220 1719 001677 2315 1882 10798 1882 9653 11535 03241 17441 220 230 2078 001685 1939 1983 10826 1983 9588 11571 03388 17289 230 240 2497 001692 1633 2084 10853 2084 9523 11607 03534 17143 240 250 2982 001700 1383 2185 10879 2186 9456 11642 03677 17001 250 260 3542 001708 1177 2286 10905 2288 9388 11676 03819 16864 260 270 4185 001717 1007 2383 10930 2390 9320 11709 03960 16731 270 280 4918 001726 865 2490 10954 2492 9249 11741 04099 16602 280 290 5753 001735 747 2593 10977 2594 9178 11772 04236 16477 290 300 6698 001745 6472 2695 11000 2697 9104 11802 04372 16356 300 310 7764 001755 5632 2798 11021 2801 9030 11830 04507 16238 310 320 8960 001765 4919 2901 11042 2904 8953 11858 04640 16123 320 330 10300 001776 4312 3005 11062 3008 8875 11884 04772 16010 330 340 11793 001787 3792 3109 11080 3113 8795 11908 04903 15901 340 350 13453 001799 3346 3214 11098 3218 8713 11931 05033 15793 350 360 15292 001811 2961 3318 11114 3324 8629 11952 05162 15688 360 370 17323 001823 2628 3424 11129 3430 8542 11972 05289 15585 370 380 19560 001836 2339 3530 11143 3536 8454 11990 05416 15483 380 390 2202 001850 2087 3636 11156 3643 8362 12006 05542 15383 390 400 2471 001864 1866 3743 11166 3751 8268 12020 05667 15284 400 410 2765 001878 1673 3850 11176 3860 8172 12031 05792 15187 410 420 3085 001894 1502 3958 11183 3969 8072 12041 05915 15091 420 430 3433 001909 1352 4067 11189 4079 7969 12048 06038 14995 430 440 3812 001926 1219 4176 11193 4190 7863 12053 06161 14900 440 450 4221 001943 11011 4286 11195 4302 7754 12056 06282 14806 450 460 4663 001961 09961 4397 11196 4414 7641 12055 06404 14712 460 470 5141 001980 09025 4509 11194 4528 7524 12052 06525 14618 470 480 5655 002000 08187 4622 11189 4643 7403 12046 06646 14524 480 490 6207 002021 07436 4736 11183 4759 7278 12037 06767 14430 490 500 6800 002043 06761 4851 11174 4877 7148 12025 06888 14335 500 520 8114 002091 05605 5085 11148 5117 6873 11989 07130 14145 520 540 9615 002145 04658 5326 11110 5364 6575 11938 07374 13950 540 560 11318 002207 03877 5484 11058 5620 6250 11870 07620 13749 560 580 13243 002278 03225 5831 10989 5886 5893 11780 07872 13540 580 600 15410 002363 02677 6099 10900 6167 5497 11664 08130 13317 600 620 17844 002465 02209 6383 10785 6464 5050 11514 08398 13075 620 640 20571 002593 01805 6687 10632 6786 4534 11319 08681 12803 640 660 2362 002767 01446 7023 10423 7144 3911 11055 08990 12483 660 680 2705 003032 01113 7417 10110 7569 3098 10667 09350 12068 680 700 3090 003666 00744 8017 9477 8227 1675 9902 09902 11346 700 7054 3204 005053 005053 8726 8726 9025 0 9025 10580 10580 7054 Source Tables A2E through A6E are extracted from J H Keenan F G Keyes P G Hill and J G Moore Steam Tables Wiley New York 1969 Tables in English Units 770 TABLE A3E Properties of Saturated Water LiquidVapor Pressure Table Press lbfin2 Temp F Specific Volume ft3lb Internal Energy Btulb Enthalpy Btulb Entropy BtulbR Press lbfin2 H2O Sat Liquid vr Sat Vapor vg Sat Liquid ur Sat Vapor ug Sat Liquid hl Evap hig Sat Vapor hg Sat Liquid sr Sat Evap sig Sat Vapor sg 04 7284 001606 7920 4094 10347 4094 10523 10933 00800 19760 20559 04 06 8519 001609 5400 5326 10387 5327 10454 10986 01029 19184 20213 06 08 9435 001611 4117 6241 10417 6241 10402 11026 01195 18773 19968 08 10 10170 001614 3336 6974 10440 6974 10360 11058 01327 18453 19779 10 12 10788 001616 2809 7590 10460 7590 10325 11084 01436 18190 19626 12 15 11565 001619 2277 8365 10485 8365 10280 11117 01571 17867 19438 15 20 12604 001623 17375 9402 10518 9402 10221 11161 01750 17448 19198 20 30 14143 001630 11872 10938 10566 10939 10131 11225 02009 16852 18861 30 40 15293 001636 9064 12088 10602 12089 10064 11273 02198 16426 18624 40 50 16221 001641 7353 13015 10630 13017 10009 11310 02349 16093 18441 50 60 17003 001645 6198 13798 10654 13800 9962 11342 02474 15819 18292 60 70 17682 001649 5365 14478 10674 14480 9921 11369 02581 15585 18167 70 80 18284 001653 4735 15081 10692 15084 9884 11393 02675 15383 18058 80 90 18826 001656 4241 15625 10708 15627 9851 11414 02760 15203 17963 90 10 19319 001659 3842 16120 10722 16123 9821 11433 02836 15041 17877 10 14696 21199 001672 2680 18010 10776 18015 9704 11505 0321 14446 17567 14696 15 21303 001672 2629 18114 10779 18119 9697 11509 03137 14414 17551 15 20 22796 001683 2009 19619 10820 19626 9601 11564 03358 13962 17320 20 25 24008 001692 1631 20844 10853 20852 9522 11607 03535 13607 17142 25 30 25034 001700 1375 21884 10880 21893 9454 11643 03682 13314 16996 30 35 25930 001708 1190 22793 10903 22804 9393 11674 03809 13064 16873 35 40 26726 001715 1050 23603 10923 23616 9338 11700 03921 12845 16767 40 45 27446 001721 940 24337 10940 24351 9288 11723 04022 12651 16673 45 50 28103 001727 852 25008 10956 25024 9242 11744 04113 12476 16589 50 55 28710 001733 779 25628 10970 25646 9199 11763 04196 12317 16513 55 60 29273 001738 7177 2621 10983 2622 9158 11780 04273 12170 16443 60 65 29800 001743 6647 2675 10995 2677 9119 11796 04345 12035 16380 65 70 30296 001748 6209 2726 11006 2728 9083 11810 04412 11909 16321 70 75 30763 001752 5818 2774 11016 2776 9048 11824 04475 11790 16265 75 80 31207 001757 5474 2820 11026 2822 9014 11836 04534 11679 16213 80 85 31629 001761 5170 2863 11035 2866 8982 11848 04591 11574 16165 85 90 32031 001766 4898 2905 11043 2908 8951 11859 04644 11475 16119 90 95 32416 001770 4654 2945 11050 2948 8921 11869 04695 11380 16075 95 100 32786 001774 4434 2986 11058 2986 8892 11878 04744 11290 16034 100 110 33482 001781 4051 3055 11071 3059 8837 11896 04836 11122 15958 110 120 34130 001789 3730 3123 11083 3127 8785 11911 04920 10966 15886 120 130 34737 001796 3457 3186 11094 3190 8735 11925 04999 10822 15821 130 140 35308 001802 3221 3246 11103 3251 8687 11938 05073 10688 15761 140 150 35848 001809 3016 3302 11112 3308 8642 11949 05142 10562 15704 150 160 36360 001815 2836 3356 11120 3362 8598 11960 05208 10443 15651 160 Tables in English Units 771 TABLE A3E Continued Specific Volume ft3lb Internal Energy Btulb Enthalpy Btulb Entropy BtulbR Press lbfin2 Temp F Sat Liquid vr Sat Vapor vg Sat Liquid ur Sat Vapor ug Sat Liquid hl Evap hig Sat Vapor hg Sat Liquid sr Sat Evap sig Sat Vapor sg Press lbfin2 H2O 170 36847 001821 2676 3408 11127 3413 8556 11969 05270 10330 15600 170 180 37313 001827 2553 3457 11134 3463 8515 11978 05329 10223 15552 180 190 37759 001833 2405 3504 11140 3510 8475 11986 05386 10122 15508 190 200 38186 001839 2289 3549 11146 3556 8437 11993 05440 10025 15465 200 250 40104 001865 1845 3754 11167 3762 8258 12021 05680 09594 15274 250 300 41743 001890 1544 3930 11182 3941 8098 12039 05883 09232 15115 300 350 43182 001912 1327 4087 11190 4099 7950 12049 06060 08917 14977 350 400 44470 001934 1162 4228 11195 4242 7812 12055 06218 08638 14856 400 450 45639 001955 1033 4357 11196 4374 7682 12056 06360 08385 14745 450 500 46713 001975 0928 4477 11194 4495 7558 12053 06490 08154 14644 500 550 47707 001994 0842 4589 11191 4609 7439 12048 06611 07941 14451 550 600 48633 002013 0770 4694 11186 4717 7324 12041 06723 07742 14464 600 700 50323 002051 0656 4889 11170 4915 7105 12020 06927 07378 14305 700 800 51836 002087 0569 5066 11150 5097 6896 11993 07110 07050 14160 800 900 53212 002123 0501 5230 11126 5266 6695 11960 07277 06750 14027 900 1000 54475 002159 0446 5384 11099 5424 6500 11924 07432 06471 13903 1000 1100 55645 002195 0401 5529 11068 5574 6310 11883 07576 06209 13786 1100 1200 56737 002232 0362 5667 11035 5717 6123 11839 07712 05961 13673 1200 1300 57760 002269 0330 5799 10998 5854 5938 11792 07841 05724 13565 1300 1400 58725 002307 0302 5927 10960 5986 5755 11741 07964 05497 13461 1400 1500 59639 002346 0277 6050 10918 6115 5572 11687 08082 05276 13359 1500 1600 60506 002386 0255 6169 10874 6240 5389 11629 08196 05062 13258 1600 1700 61332 002428 0236 6286 10827 6362 5206 11569 08307 04852 13159 1700 1800 62121 002472 0218 6400 10777 6483 5021 11504 08414 04645 13060 1800 1900 62876 002517 0203 6513 10723 6601 4834 11435 08519 04441 12961 1900 2000 63600 002565 0188 6624 10666 6719 4644 11363 08623 04238 12861 2000 2250 65290 002698 0157 6899 10506 7011 4148 11159 08876 03728 12604 2250 2500 66831 002860 0131 7177 10310 7309 3605 10914 09131 03196 12327 2500 2750 68246 003077 0107 7473 10059 7630 2974 10604 09401 02604 12005 2750 3000 69552 003431 0084 7834 9688 8025 2130 10155 09732 01843 11575 3000 32036 70544 005053 00505 8726 8726 9025 0 9025 10580 0 10580 32036 772 Tables in English Units TABLE A4E Properties of Superheated Water Vapor T v u h s v u h s F ft3lb Btulb Btulb BtulbR ft3lb Btulb Btulb BtulbR p 1 lbfin2 Tsat 1017F p 5 lbfin2 Tsat 1622F Sat 3336 10440 11058 19779 7353 10630 11310 18441 150 3626 10604 11275 20151 200 3925 10775 11501 20508 7815 10760 11486 18715 250 4224 10947 11728 20839 8421 10938 11717 19052 300 4523 11120 11957 21150 9024 11113 11948 19367 400 5119 11470 12418 21720 10224 11466 12412 19941 500 5715 11828 12885 22235 11420 11825 12882 20458 600 6311 12193 13361 22706 12615 12191 13358 20930 700 6907 12567 13845 23142 13808 12565 13843 21367 800 7503 12944 14337 23550 15001 12947 14335 21775 900 8099 13339 14838 23932 16194 13338 14837 22158 1000 8695 13739 15348 24294 17386 13739 15347 22520 p 10 lbfin2 Tsat 1932F p 147 lbfin2 Tsat 2120F Sat 3842 10722 11433 17877 2680 10776 11505 17567 200 3885 10747 11466 17927 250 4195 10926 11702 18272 2842 10915 11688 17832 300 4499 11104 11937 18592 3052 11096 11926 18157 400 5103 11461 12405 19171 3467 11456 12399 18741 500 5704 11822 12877 19690 3877 11818 12873 19263 600 6303 12189 13355 20164 4286 12186 13352 19737 700 6901 12563 13840 20601 4693 12561 13838 20175 800 7498 12946 14333 21009 5100 12944 14331 20584 900 8095 13337 14835 21393 5507 13336 14834 20967 1000 8691 13738 15346 21755 5913 13737 15345 21330 1100 9288 14147 15866 22099 6319 14146 15864 21674 p 20 lbfin2 Tsat 2280F p 40 lbfin2 Tsat 2673F Sat 2009 10820 11564 17320 1050 10933 11700 16767 250 2079 10903 11672 17475 300 2236 11087 11915 17805 1104 11051 11868 16993 350 2390 11269 12154 18110 1184 11242 12118 17312 400 2543 11451 12392 18395 1262 11430 12364 17606 500 2846 11815 12868 18919 1416 11801 12849 18140 600 3147 12184 13348 19395 1569 12173 13334 18621 700 3447 12559 13835 19834 1720 12551 13824 19063 800 3746 12943 14329 20243 1870 12937 14321 19474 900 4045 13335 14832 20627 2020 13330 14825 19859 1000 4344 13735 15343 20989 2170 13731 15338 20223 1100 4642 14145 15863 21334 2320 14142 15859 20568 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 60 lbfin² Tsat 2927F p 80 lbfin² Tsat 3121F Sat 717 10983 11780 16444 547 11026 11836 16214 300 726 11013 11819 16496 350 782 11214 12082 16830 580 11185 12043 16476 400 835 11408 12335 17134 622 11385 12306 16790 500 940 11786 12830 17678 702 11772 12811 17346 600 1043 12163 13321 18165 779 12153 13307 17838 700 1144 12544 13814 18609 856 12536 13803 18285 800 1245 12930 14312 19022 932 12924 14304 18700 900 1345 13325 14818 19408 1008 13320 14812 19087 1000 1445 13727 15332 19773 1083 13723 15326 19453 1100 1545 14138 15854 20119 1158 14135 15849 19799 1200 1645 14558 16385 20448 1233 14555 16381 20130 p 100 lbfin² Tsat 3278F p 120 lbfin² Tsat 3413F Sat 4434 11058 11878 16034 3730 11083 11911 15886 350 4592 11154 12004 16191 3783 11122 11962 15950 400 4934 11362 12275 16517 4079 11338 12244 16288 450 5265 11562 12536 16812 4360 11543 12512 16590 500 5587 11757 12791 17085 4633 11742 12771 16868 600 6216 12142 13293 17582 5164 12132 13278 17371 700 6834 12528 13792 18033 5682 12520 13782 17825 800 7445 12918 14296 18449 6195 12912 14287 18243 900 8053 13315 14805 18838 6703 13309 14798 18633 1000 8657 13719 15321 19204 7208 13715 15315 19000 1100 9260 14131 15845 19551 7711 14128 15840 19348 1200 9861 14552 16377 19882 8213 14549 16373 19679 p 140 lbfin² Tsat 3531F p 160 lbfin² Tsat 3636F Sat 3221 11103 11938 15761 2836 11120 11960 15651 400 3466 11314 12212 16088 3007 11288 12178 15911 450 3713 11524 12486 16399 3228 11505 12461 16230 500 3952 11727 12751 16682 3440 11712 12730 16518 550 4184 11925 13009 16945 3646 11913 12992 16785 600 4412 12121 13264 17191 3848 12111 13250 17034 700 4860 12512 13771 17648 4243 12504 13760 17494 800 5301 12905 14279 18068 4631 12899 14270 17916 900 5739 13304 14791 18459 5015 13299 14784 18308 1000 6173 13710 15310 18827 5397 13706 15304 18677 1100 6605 14124 15836 19176 5776 14121 15831 19026 1200 7036 14546 16369 19507 6154 14543 16365 19358 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 180 lbfin² Tsat 3731F p 200 lbfin² Tsat 3818F Sat 2533 11134 11978 15553 2289 11146 11993 15464 400 2648 11262 12144 15749 2361 11235 12108 15600 450 2850 11485 12434 16078 2548 11464 12407 15938 500 3042 11696 12709 16372 2724 11680 12688 16239 550 3228 11900 12975 16642 2893 11887 12957 16512 600 3409 12100 13235 16893 3058 12089 13221 16767 700 3763 12496 13749 17357 3379 12488 13738 17234 800 4110 12893 14262 17781 3693 12886 14253 17660 900 4453 13294 14777 18174 4003 13289 14771 18055 1000 4793 13702 15298 18545 4310 13698 15293 18425 1100 5131 14117 15826 18894 4615 14114 15822 18776 1200 5467 14540 16361 19227 4918 14537 16357 19109 p 250 lbfin² Tsat 4010F p 300 lbfin² Tsat 4174F Sat 1845 11167 12021 15274 1544 11182 12039 15115 450 2002 11411 12337 15632 1636 11354 12262 15365 500 2150 11638 12633 15948 1766 11595 12575 15701 550 2290 11853 12913 16233 1888 11819 12867 15997 600 2426 12061 13183 16494 2004 12032 13145 16266 700 2688 12467 13711 16970 2227 12440 13683 16751 800 2943 12870 14232 17301 2442 12854 14210 17187 900 3193 13276 14753 17799 2653 13263 14736 17589 1000 3440 13687 15279 18172 2860 13677 15265 17964 1100 3685 14105 15810 18524 3066 14096 15798 18317 1200 3929 14530 16348 18858 3270 14522 16338 18653 1300 4172 14963 16893 19177 3473 14956 16884 18973 p 350 lbfin² Tsat 4318F p 400 lbfin² Tsat 4447F Sat 1327 11190 12049 14978 1162 11195 12055 14856 450 1373 11292 12182 15125 1175 11226 12095 14901 500 1491 11549 12515 15482 1284 11501 12452 15282 550 1600 11783 12819 15790 1383 11746 12770 15605 600 1703 12003 13106 16068 1476 11973 13066 15892 700 1898 12425 13654 16562 1650 12404 13625 16397 800 2085 12838 14188 17004 1816 12821 14166 16844 900 2267 13250 14718 17409 1978 13237 14701 17252 1000 2446 13666 15250 17787 2136 13655 15236 17632 1100 2624 14087 15786 18142 2292 14078 15774 17989 1200 2799 14515 16328 18478 2446 14507 16218 18327 1300 2974 14950 16876 18799 2599 14943 16868 18648 TABLE A4E Continued T F v ft³lb u Btulb h Btulb s Btulb R v ft³lb u Btulb h Btulb s Btulb R p 450 lbfin² Tsat 4564F p 500 lbfin² Tsat 4671F Sat 1033 11196 12056 14746 0928 11194 12053 14645 500 1123 11451 12385 15097 0992 11397 12315 14923 550 1215 11707 12719 15436 1079 11667 12666 15279 600 1300 11943 13025 15732 1158 11911 12983 15585 700 1458 12382 13596 16248 1304 12360 13567 16112 800 1608 12805 14144 16701 1441 12788 14121 16571 900 1752 13224 14683 17113 1572 13210 14665 16987 1000 1894 13644 15222 17495 1701 13633 15207 17371 1100 2034 14069 15763 17853 1827 14060 15751 17731 1200 2172 14500 16308 18192 1952 14492 16298 18072 1300 2308 14937 16859 18515 2075 14931 16851 18395 1400 2444 15381 17417 18823 2198 15376 17410 18704 p 600 lbfin² Tsat 4863F p 700 lbfin² Tsat 5032F Sat 0770 11186 12041 14464 0656 11170 12020 14305 500 0795 11280 12162 14592 0728 11490 12432 14723 550 0875 11582 12554 14990 600 0946 11845 12895 15320 0793 11775 12802 15081 700 1073 12315 13506 15872 0907 12269 13444 15661 800 1190 12754 14076 16343 1011 12720 14029 16145 900 1302 13184 14629 16766 1109 13156 14593 16576 1000 1411 13612 15178 17155 1204 13589 15149 16970 1100 1517 14042 15727 17519 1296 14024 15702 17337 1200 1622 14477 16278 17861 1387 14462 16258 17682 1300 1726 14917 16834 18186 1476 14904 16817 18009 1400 1829 15365 17395 18497 1565 15353 17381 18321 p 800 lbfin² Tsat 5183F p 900 lbfin² Tsat 5321F Sat 0569 11150 11993 14160 0501 11126 11960 14027 550 0615 11388 12299 14469 0527 11275 12152 14219 600 0677 11701 12704 14861 0587 11622 12600 14652 650 0732 11972 13056 15186 0639 11911 12975 14999 700 0783 12221 13380 15471 0686 12171 13314 15297 800 0876 12685 13982 15969 0772 12649 13934 15810 900 0964 13129 14556 16408 0851 13101 14519 16257 1000 1048 13567 15119 16807 0927 13545 15089 16662 1100 1130 14005 15678 17178 1001 13987 15654 17036 1200 1210 14446 16238 17526 1073 14430 16217 17386 1300 1289 14891 16800 17854 1144 14878 16873 17717 1400 1367 15342 17366 18167 1214 15330 17351 18031