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4. Calculate the work done (in J/mol) for the adiabatic compression of ethane from 20 °C and 140 KPa to 560 KPa. Assume ethane to be an ideal gas. The ideal gas heat capacity of ethane is given by Cp 3 1.131 + 19.225 х 10-3T — 5.561 х 10-672 (T in K,Cp in R mol K’ Table 3.1: Parameter Assignments for Equations of State Eqn. of State a(T,) Ω Ze vdW (1873) RK (1949) SRK (1972) 1 1/8 27/64 3/8 T,-\/2 aSRK(T,; w)† 1 0.08664 0.42748 1/3 0.08664 0.42748 1/3 PR (1976) apR(T,; w)* 1+ v? 1- V2 0.07780 0.45724 0.30740 tasrK(T;; @) = [1 + (0.480 + 1.574 w – 0.176 w²)(1 – T,1/2)]² *apr(T,; @) = [1 + (0.37464 + 1.54226 » – 0.26992 w²) (1 – T,V2)]2

4. Calculate the work done (in J/mol) for the adiabatic compression of ethane from 20 °C and 140 KPa to 560 KPa. Assume ethane to be an ideal gas. The ideal gas heat capacity of ethane is given by Cp 3 1.131 + 19.225 х 10-3T — 5.561 х 10-672 (T in K,Cp in R mol K’ Table 3.1: Parameter Assignments for Equations of State Eqn. of State a(T,) Ω Ze vdW (1873) RK (1949) SRK (1972) 1 1/8 27/64 3/8 T,-\/2 aSRK(T,; w)† 1 0.08664 0.42748 1/3 0.08664 0.42748 1/3 PR (1976) apR(T,; w)* 1+ v? 1- V2 0.07780 0.45724 0.30740 tasrK(T;; @) = [1 + (0.480 + 1.574 w – 0.176 w²)(1 – T,1/2)]² *apr(T,; @) = [1 + (0.37464 + 1.54226 » – 0.26992 w²) (1 – T,V2)]2

Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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4. Calculate the work done (in J/mol) for the adiabatic compression of ethane from 20 °C and 140 KPa to 560 KPa. Assume ethane to be an ideal gas. The ideal gas heat capacity of ethane is given by Cp = 1.131 + 19.225 × 10-³T - 5.561 × 10-6T² (T in K,Cp in R mol K' Table 3.1: Parameter Assignments for Equations of State Eqn. of State a(T,) Z. vdW (1873) 1 1/8 27/64 3/8 T,-1/2 ASRK(T;; w)* RK (1949) 1 0.08664 0.42748 1/3 SRK (1972) 1 0.08664 0.42748 1/3 PR (1976) aPr(T;; w)* 1+ v2 1- V2 0.07780 0.45724 0.30740 fasrK(T,; ») = [1 + (0.480 + 1.574 » – 0.176 w²)(1 – T,\2)]² *apr(T;; @) = [1 + (0.37464 + 1.54226 w – 0.26992 m²)(1 – T,V2)]²
Transcribed Image Text:4. Calculate the work done (in J/mol) for the adiabatic compression of ethane from 20 °C and 140 KPa to 560 KPa. Assume ethane to be an ideal gas. The ideal gas heat capacity of ethane is given by Cp = 1.131 + 19.225 × 10-³T - 5.561 × 10-6T² (T in K,Cp in R mol K' Table 3.1: Parameter Assignments for Equations of State Eqn. of State a(T,) Z. vdW (1873) 1 1/8 27/64 3/8 T,-1/2 ASRK(T;; w)* RK (1949) 1 0.08664 0.42748 1/3 SRK (1972) 1 0.08664 0.42748 1/3 PR (1976) aPr(T;; w)* 1+ v2 1- V2 0.07780 0.45724 0.30740 fasrK(T,; ») = [1 + (0.480 + 1.574 » – 0.176 w²)(1 – T,\2)]² *apr(T;; @) = [1 + (0.37464 + 1.54226 w – 0.26992 m²)(1 – T,V2)]²
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