Atividade Avaliativa Termodinamica - Curvas Txy e Pxy de Equilibrio Liquido Vapor

Unidade Curricular Leis da Termodinãmica Professor Estêvão Magno Rodrigues Araújo 2 Semestre de 2022 Grupos até 5 alunos Pontuação 20 pontos Atividade Avaliativa Desenhar as curvas Txy e Pxy para o equilíbrio líquido vapor de um dos sistemas abaixo Acetona Clorofórmio Tetracloreto de carbono Benzeno Etanol Água Metanol Acetato de Etila Água Ácido acético Etanol Benzeno Condições que podem ser avaliadas Lei de Raoult 6 pontos Considerando fase vapor ideal coeficiente de fugacidade igual a 1 12 pontos Modelo GammaPhi 20 pontos Equações Equação de Antoine 𝑙𝑛𝑃𝑠𝑎𝑡 𝐴 𝐵 𝑇 𝐶 Lei de Raoult 𝑦𝑖𝑃 𝑃𝑖 𝑠𝑎𝑡x𝑖 Considerando a fase vapor ideal 𝑦𝑖𝑃 𝛾𝑖𝑃𝑖 𝑠𝑎𝑡x𝑖 Modelo GammaPhi 𝑦𝑖Φ𝑖𝑃 𝛾𝑖𝑃𝑖 𝑠𝑎𝑡x𝑖 Coeficiente de fugacidade por Virial sistemas binários 𝑙𝑛Φ1 𝐵11𝑃 𝑃1 𝑠𝑎𝑡 𝑃𝑦2 2𝛿12 𝑅𝑇 𝑙𝑛Φ2 𝐵22𝑃 P2 sat 𝑃𝑦1 2𝛿12 𝑅𝑇 𝛿12 2𝐵12 𝐵11 𝐵22 𝐵𝑖𝑗 𝐵𝑖𝑗 𝑅 𝑇𝐶𝑖𝑗 𝑃𝐶𝑖𝑗 𝐵𝑖𝑗 𝐵𝑖𝑗 0 𝜔𝑖𝑗𝐵𝑖𝑗 1 𝐵𝑖𝑗 0 0083 0422 𝑇𝑟𝑖𝑗 16 𝐵𝑖𝑗 1 0139 0172 𝑇𝑟𝑖𝑗 42 𝑇𝑟𝑖𝑗 𝑇 𝑇𝐶𝑖𝑗 𝑇𝐶𝑖𝑗 𝑇𝐶𝑖 𝑇𝐶𝑗 𝜔𝑖𝑗 𝜔𝑖 𝜔𝑗 2 𝑃𝐶𝑖𝑗 𝑍𝐶𝑖𝑗 𝑅 𝑇𝐶𝑖𝑗 𝑉𝐶𝑖𝑗 𝑍𝐶𝑖𝑗 𝑍𝐶𝑖 𝑍𝐶𝑗 2 𝑉𝐶𝑖𝑗 𝑉𝐶𝑖 3 𝑉𝐶𝑗 3 2 3 Modelos para o coeficiente de atividade Margules 𝑙𝑛𝛾1 𝑥2 2𝐴12 2𝑥1𝐴21 𝐴12 𝑙𝑛𝛾2 𝑥1 2𝐴21 2𝑥2𝐴12 𝐴21 Modelos para o coeficiente de atividade van Laar 𝑙𝑛𝛾1 𝐴12 1 𝐴12 𝑥1 𝐴21 𝑥2 2 𝑙𝑛𝛾2 𝐴21 1 𝐴21 𝑥2 𝐴12 𝑥1 2 Tabelas que podem ajudar TABLE 132 BinaryInteraction Parameters System Margules van Laar Wilson calmol Acetone 1 chloroform 2 08404 05610 08643 05899 1161171 5068519 Acetone 1 methanol 2 06184 05788 06184 05797 1144047 5452942 Acetone 1 water 2 20400 15461 21041 15555 3443346 14822133 Carbon tetrachloride 1 benzene 2 00948 00922 00951 00911 70459 596233 Chloroform 1 methanol 2 08320 17365 09356 18860 3617944 16940241 Ethanol 1 benzene 2 18362 14717 18570 14785 12644318 2666118 Ethanol 1 water 2 16022 07947 16798 09227 3250757 9532792 Ethyl acetate 1 ethanol 2 08557 07476 08552 07526 588869 5700439 nHexane 1 ethanol 2 19398 27054 19195 28463 3203611 21892896 Methanol 1 benzene 2 21411 17905 21623 17925 16664410 2272126 Methanol 1 ethyl acetate 2 10016 10517 10017 10524 9822689 1729317 Methanol 1 water 2 07923 05434 08041 05619 929876 5206458 Methyl acetate 1 methanol 2 09605 10120 09614 10126 938900 8474348 1Propanol 1 water 2 27070 07172 29095 11572 9065256 13966398 2Propanol 1 water 2 23319 08976 24702 10938 6595473 12302080 Tetrahydrofuran 1 water 2 28258 19450 30216 19436 14752583 18447926 Water 1 acetic acid 2 04178 09533 04973 10623 7055876 1116579 Water 1 1butanol 2 08608 32051 10996 41760 15496600 20502569 Water 1 formic acid 2 02966 02715 02935 02757 3101060 11808040 Abstracted from Cmehling and Onken VaporLiquid Equilbrium Data Collection DECHEMA Chemistry Data ser vol 1 parts 110 Frankfurt 1977 TABLE 133 ActivityCoefficient Equations in Binary Form for Use with Parameters and Constants in Tables 132 and 134 Type of equation Adjustable parameters Equations in binary form Margules A12A21 ln γ1A122A11A12x2x22 ln γ2A212A12A21x1x12 van Laar A11 ln γ1A11A2x2A11x1 A21x22 A21 ln γ2A21A1x1A11x1 A21x22 Wilson λ12λ11 ln γ1lnx1 λ12x2 x2 λ12x1 λ12x2 λ11λ11x1 x2 λ21λ22 ln γ2lnx2 λ21x1 x1 λ21x2 λ21x1 λ22λ22x2 x1 where Λ12 v2Lv1L exp λ12λ11RT Λ21 v1Lv2L exp λ21λ22RT viL molar volume of pureliquid component i λij interaction energy between components i and j λww λww TABLE 134 Antoine VaporPressure Constants and Liquid Molar Volume Species Antoine constants Applicable temperature region C vL liquid molar volume cm3g mol A B C Acetic acid 802100 1936010 258451 18118 5754 Acetone 711714 1210595 229664 1355 7406 Benzene 687987 1196760 219161 880 8941 1Butanol 736366 1305198 173427 89126 9197 Carbon tetrachloride 684083 1177910 220576 2077 9709 Chloroform 695465 1170966 226232 1060 8067 Ethanol 7558670 1281590 193768 78203 5868 Ethanol 811220 1592864 226184 2093 5868 Ethyl acetate 710179 1244951 217881 1676 9849 Formic acid 694459 1295260 218000 36108 3791 nHexane 691058 1189640 226280 30170 13161 Methanol 808097 1582271 239726 1584 4073 Methyl acetate 706524 1157630 219726 286 7984 1Propanol 837895 1788020 227438 1598 7514 2Propanol 087829 2010320 252636 2683 7692 Tetrahydrofuran 699515 1202290 226254 23100 8155 Water 807131 1730630 233426 1100 1807 Abstracted from Cmheling and Onken VaporLiquid Equilibrium Data Collection DECHEMA Chemistry Data ser vol 1 parts 110 Frankfurt 1977 Antoine equation is log Psat A BT C with Psat in torr and T in C NOTE To convert degrees Celsius to degrees Fahrenheit F 18C 32 To convert cubic centimeters per grammole to cubic feet per poundmole multiply by 0016 This page is blank