Can you show that, for the Dieterici equation of state: P = [RT ∙ e^ (−a / RTVm)] ⁄ (Vm − b) where the constants a and b are always positive, that the compression factor is: Z = Vm / Vm 0 = [e^ (−a / RTVm)] + b (P / RT) b. If a gas that follows the Dieterici equation of state had a = 0 and b = 0, it would be a perfect gas. Is that case what is the compression factor Z equal to

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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Can you show that, for the Dieterici equation of state: P = [RT ∙ e^ (−a / RTVm)]  ⁄ (Vm − b) where the constants a and b are always positive, that the compression factor is: Z = Vm / Vm 0 = [e^ (−a / RTVm)] + b (P / RT)

b. If a gas that follows the Dieterici equation of state had a = 0 and b = 0, it would be a perfect gas. Is that case what is the compression factor Z equal to?

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