A. The text shows that: ∂U/∂T)V = ∂U/∂V)P. Can you show that: ∂H/∂T)V = ∂H/∂T)P ? Hint: start with: ∂H = ∂H/∂T)P ∂T +... B. Starting with: ∂H/∂P)T = ∂(U+PV)/ ∂P)T , can you show that ∂U/∂P)T = ∂H/∂P)T ? Hint: you will need to use the perfect gas law.

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter1: Gases And The Zeroth Law Of Thermodynamics
Section: Chapter Questions
Problem 1.17E
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A. The text shows that: ∂U/∂T)V = ∂U/∂V)P. Can you show that: ∂H/∂T)V = ∂H/∂T)P ?
Hint: start with: ∂H = ∂H/∂T)P ∂T +...

B. Starting with: ∂H/∂P)T = ∂(U+PV)/ ∂P)T , can you show that ∂U/∂P)T = ∂H/∂P)T ?
Hint: you will need to use the perfect gas law.

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