Consider a nonideal binary gas mixture with the simple equation of state nRT V = =+nB Р The rule of Lewis and Randall states that the value of the mixed second virial coefficient BAB is the average of BAA and BBB. Show that when this rule holds, the fugacity coefficient of A in a binary gas mixture of any composition is given by INDA By comparing this expression with = ВААР RT Bp RT Inø for a pure gas, express the fugacity of A in the mixture as a function of the fugacity of pure A at the same temperature and pressure as the mixture.

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
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Consider a nonideal binary gas mixture with the simple equation of state
nRT
V = + NB
P
The rule of Lewis and Randall states that the value of the mixed second virial
coefficient BAB is the average of BAA and BBB. Show that when this rule holds,
the fugacity coefficient of A in a binary gas mixture of any composition is
given by
InDA
By comparing this expression with
=
Ind ≈
ВААР
RT
Bp
RT
for a pure gas, express the fugacity of A in the mixture as a function of the
fugacity of pure A at the same temperature and pressure as the mixture.
Transcribed Image Text:Consider a nonideal binary gas mixture with the simple equation of state nRT V = + NB P The rule of Lewis and Randall states that the value of the mixed second virial coefficient BAB is the average of BAA and BBB. Show that when this rule holds, the fugacity coefficient of A in a binary gas mixture of any composition is given by InDA By comparing this expression with = Ind ≈ ВААР RT Bp RT for a pure gas, express the fugacity of A in the mixture as a function of the fugacity of pure A at the same temperature and pressure as the mixture.
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