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With N the number of moles, a, b two positive constants and S, U, V entropy, internal energy and volume. Show that pressure p can be obtained from : bT p = v3-av+T With v = V/N.T is temperature.

With N the number of moles, a, b two positive constants and S, U, V entropy, internal energy and volume. Show that pressure p can be obtained from : bT p = v3-av+T With v = V/N.T is temperature.

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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The fundamental equation for a pure substance is : aUV S = N UV With N the number of moles, a, b two positive constants and S, U, V entropy, internal energy and volume. Show that pressure p can be obtained from : bT p = |v3-av+T With v = V/N. T is temperature. Hint: Differentiate the eq. for S wrt to U at constant V and wrt to V at constant U. Then compare the results with the equation : dU = TdS – pdV
Transcribed Image Text:The fundamental equation for a pure substance is : aUV S = N UV With N the number of moles, a, b two positive constants and S, U, V entropy, internal energy and volume. Show that pressure p can be obtained from : bT p = |v3-av+T With v = V/N. T is temperature. Hint: Differentiate the eq. for S wrt to U at constant V and wrt to V at constant U. Then compare the results with the equation : dU = TdS – pdV
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