Given only the ideal gas equation of state, PV ¼ NkBT, prove the followingp roperties using fundamental equations and Maxwell relations. In the first two parts, you are proving that several ideal gas properties are volume- or pressure-independent. (a) (∂E/∂V)T,N ¼ 0 (b) (∂CV/∂V)T,N ¼ 0 and (∂CP/∂P)T,N ¼ 0 (c) CP ¼ CV þ NkB
Given only the ideal gas equation of state, PV ¼ NkBT, prove the followingp roperties using fundamental equations and Maxwell relations. In the first two parts, you are proving that several ideal gas properties are volume- or pressure-independent. (a) (∂E/∂V)T,N ¼ 0 (b) (∂CV/∂V)T,N ¼ 0 and (∂CP/∂P)T,N ¼ 0 (c) CP ¼ CV þ NkB
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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Given only the ideal gas equation of state, PV ¼ NkBT, prove the followingp roperties using fundamental equations and Maxwell relations. In the first two parts, you are proving that several ideal gas properties are volume- or pressure-independent.
(a) (∂E/∂V)T,N ¼ 0
(b) (∂CV/∂V)T,N ¼ 0 and (∂CP/∂P)T,N ¼ 0
(c) CP ¼ CV þ NkB
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Thermodynamic Relations
VIEWMaxwell's Relations
VIEWTdS equations
VIEW(a) Internal is not a function of V at constant T for an IDEAL GAS
VIEW(b) Effect of volume V on Cv at constant temeperature for an IDEAL GAS
VIEW(b) Effect of volume P on Cp at constant temeperature for an IDEAL GAS
VIEW(c) Cp-Cv=R=NkBT
VIEW
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