We have been assuming that the change in H at a constant T is 0 J; for this problem, do a derivation that proves ∂H /∂V )T= 0 J/m3 for a perfect gas in a closed system. Hint: Start with ∂H = T ∂S + V ∂P. Quickly, you will come to a derivative of entropy; to get rid of it to answer the question, use a Maxwell relation.

Principles of Modern Chemistry
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ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter13: Spontaneous Processes And Thermodynamic Equilibrium
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We have been assuming that the change in H at a constant T is 0 J; for this problem, do a derivation that proves ∂H /∂V )T= 0 J/m3 for a perfect gas in a closed system.
Hint: Start with ∂H = T ∂S + V ∂P. Quickly, you will come to a derivative of entropy; to get rid of it to answer the question, use a Maxwell relation. 

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