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The virial equation of state gives the compressibility factor Z of a gas as a function of the molar volume Vm or of the pressure P. PVm Z= B C = 1+: RT T2 += 1+ B'P+C'P² + ... m

The virial equation of state gives the compressibility factor Z of a gas as a function of the molar volume Vm or of the pressure P. PVm Z= B C = 1+: RT T2 += 1+ B'P+C'P² + ... m

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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R = 8.314 J/ molK *Final answer in 4 decimals
The virial equation of state gives the compressibility factor Z of a gas as a function of the molar volume Vm or of the pressure P. PVm = 1+ RT В C Z = +.…= 1+B'P + C'p² + …. Vm Since this equation goes on to an infinite number of terms and succeeding terms give less and less contribution to the compressibility factor, taking only into account a few terms is enough for a good approximation. B Z = 1+ = 1+ B'P + C'p² The virial coefficients for the volume-based equation at 25 K are: B = –106.2- cm and C = moi cm 1402 The volume-based and pressure-based coefficients have the following Amol relationship: B = RTB', C = (RT)²C' With these, answer the following: What is the fugacity in bar of hydrogen at 3 bar? a. b. I Calculate the fugacity coefficient at 10 bar. Between 3 bar and 10 bar, in which pressure is hydrogen closer to ideal с. gas behavior?
Transcribed Image Text:The virial equation of state gives the compressibility factor Z of a gas as a function of the molar volume Vm or of the pressure P. PVm = 1+ RT В C Z = +.…= 1+B'P + C'p² + …. Vm Since this equation goes on to an infinite number of terms and succeeding terms give less and less contribution to the compressibility factor, taking only into account a few terms is enough for a good approximation. B Z = 1+ = 1+ B'P + C'p² The virial coefficients for the volume-based equation at 25 K are: B = –106.2- cm and C = moi cm 1402 The volume-based and pressure-based coefficients have the following Amol relationship: B = RTB', C = (RT)²C' With these, answer the following: What is the fugacity in bar of hydrogen at 3 bar? a. b. I Calculate the fugacity coefficient at 10 bar. Between 3 bar and 10 bar, in which pressure is hydrogen closer to ideal с. gas behavior?
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