Consider the excess chemical potential of a gas, x= μ- where is the ideal contribution. Show that it can be calculated at a given number density p and temperature T by use of the relation Pex kgT In addition, find Hex for a fluid described by a second-order virial expansion, PZ (T,p') - 1 - -dp' + Z(T,p) - 1-In Z (T,p) P kgT = p + B₂p²

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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Consider the excess chemical potential of a gas, Hex = Hig, where Hg is the ideal contribution. Show
that it can be calculated at a given number density p and temperature T by use of the relation
peZ(T,p') – 1
dp' + Z(T,p) – 1– In Z(T, p)
p'
Hex
kgT
In addition, find Hax for a fluid described by a second-order virial expansion,
kgTP+ B2p?
Transcribed Image Text:Consider the excess chemical potential of a gas, Hex = Hig, where Hg is the ideal contribution. Show that it can be calculated at a given number density p and temperature T by use of the relation peZ(T,p') – 1 dp' + Z(T,p) – 1– In Z(T, p) p' Hex kgT In addition, find Hax for a fluid described by a second-order virial expansion, kgTP+ B2p?
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