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a. The van der Waals equation of state predicts the residual volume of a real gas is: lim P→0 (Vm − Vm 0 ) = b − (a / RT). If this gas was actually a perfect gas, can you tell me what is the value of “a” that makes this true? Hint: it should be a function of b, R, and T. b. Take the “a” and “b” constants of nitrogen, and calculate how “a” compares to b·RT at 160 °C. Now do the same for helium. Explain why this explains why nitrogen is very perfect gas-like and helium is not.

a. The van der Waals equation of state predicts the residual volume of a real gas is: lim P→0 (Vm − Vm 0 ) = b − (a / RT). If this gas was actually a perfect gas, can you tell me what is the value of “a” that makes this true? Hint: it should be a function of b, R, and T. b. Take the “a” and “b” constants of nitrogen, and calculate how “a” compares to b·RT at 160 °C. Now do the same for helium. Explain why this explains why nitrogen is very perfect gas-like and helium is not.

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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a. The van der Waals equation of state predicts the residual volume of a real gas is: lim P→0 (Vm − Vm 0 ) = b − (a / RT). If this gas was actually a perfect gas, can you tell me what is the value of “a” that makes this true? Hint: it should be a function of b, R, and T.

b. Take the “a” and “b” constants of nitrogen, and calculate how “a” compares to b·RT at 160 °C. Now do the same for helium. Explain why this explains why nitrogen is very perfect gas-like and helium is not.

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