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Estimate the fugacity of isobutylene as a gas: a) At 280 degrees Celcius and 20 bar(use 2nd virial coefficient correlation)   b) At 280 degrees Celcius and 100 bar. (use Lee-kesler correlation/Appendix table)

Estimate the fugacity of isobutylene as a gas: a) At 280 degrees Celcius and 20 bar(use 2nd virial coefficient correlation)   b) At 280 degrees Celcius and 100 bar. (use Lee-kesler correlation/Appendix table)

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
Section: Chapter Questions
Problem 1.1P
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Estimate the fugacity of isobutylene as a gas:

a) At 280 degrees Celcius and 20 bar(use 2nd virial coefficient correlation)

 

b) At 280 degrees Celcius and 100 bar. (use Lee-kesler correlation/Appendix table)

Fugacity Coefficients from the Virial Equation of State Values of p; for species i in solution are readily found from equations of state. The simplest form of the virial equation provides a useful example. Written for a gas mixture it is exactly the same as for a pure species: ВР Z = 1+ RT (3.36) The mixture second virial coefficient B is a function of temperature and composition. Its exact composition dependence is given by statistical mechanics, which makes the virial equation preeminent among equations of state where it is applicable, i.e., to gases at low to moderate pressures. The equation giving this composition dependence is: B=ΣΣυ Bj i j (10.61) where y; and y; represent mole fractions in a gas mixture. The indices i and j identify species, and both run over all species present in the mixture. The virial coefficient Bij characterizes bimo- lecular interactions between molecules of species i and species j, and therefore Bij = Bji. The double summation accounts for all possible bimolecular interactions. For a binary mixture i = 1, 2 and j = 1, 2; the expansion of Eq. (10.61) then gives: B = y1y¡B11+Y1Y2B12 + y2y¡B21 + y2Y½B22 or B = y{B11+ 2y1y½B12 + y² B22 (10.62)
Transcribed Image Text:Fugacity Coefficients from the Virial Equation of State Values of p; for species i in solution are readily found from equations of state. The simplest form of the virial equation provides a useful example. Written for a gas mixture it is exactly the same as for a pure species: ВР Z = 1+ RT (3.36) The mixture second virial coefficient B is a function of temperature and composition. Its exact composition dependence is given by statistical mechanics, which makes the virial equation preeminent among equations of state where it is applicable, i.e., to gases at low to moderate pressures. The equation giving this composition dependence is: B=ΣΣυ Bj i j (10.61) where y; and y; represent mole fractions in a gas mixture. The indices i and j identify species, and both run over all species present in the mixture. The virial coefficient Bij characterizes bimo- lecular interactions between molecules of species i and species j, and therefore Bij = Bji. The double summation accounts for all possible bimolecular interactions. For a binary mixture i = 1, 2 and j = 1, 2; the expansion of Eq. (10.61) then gives: B = y1y¡B11+Y1Y2B12 + y2y¡B21 + y2Y½B22 or B = y{B11+ 2y1y½B12 + y² B22 (10.62)
p = (4(p')® (10.67)
Transcribed Image Text:p = (4(p')® (10.67)
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