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For a certain system, the thermodynamic energy U is given as a function of S,V,and n by U = U(S,V,n)

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For a certain system, the thermodynamic energy U is given as a function of S,V,and n by

U = U(S,V,n) = Kn5/3V−2/3e2S/3nR,

where S is the entropy, V is the volume, n is the number of moles, K is a constant, and R is the gas constant.
(a) According to thermodynamic theory, T = (∂U/∂S)V ,n. Find an expression for (∂U/∂S)V ,n.
(b) According to thermodynamic theory, the pressure P = − (∂U/∂V )S,n. Find an expression for (∂U/∂V )S,n.
(c) Find an expression for (∂U/∂n)S,V.
(d) Find dU in terms of dS,dV, and dn.

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Related Book For  answer-question
Mathematics for Physical Chemistry

Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

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Question Details
Chapter # 8
Section: Problem
Problem: 2
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Question Posted: December 28, 2018 08:00:22
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