(a) Express (C V /V) T as a second derivative of U and find its relation to...

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(a) Express (∂CV/∂V)T as a second derivative of U and find its relation to (∂U/∂V)T and (∂Cp/∂p)T as a second derivative of H and find its relation to (∂H/∂p)T.

(b) From these relations show that (∂CV/∂V)T =0 and (∂Cp/∂p)T =0 for a perfect gas.

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