(a) Derive the relation Cv= - (U/V)T (V/T)u from the expression for the total differential of U(T,...

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(a) Derive the relation Cv= - (∂U/∂V)T (∂V/∂T)u from the expression for the total differential of U(T, V) and
(b) Starting from the expression for the total differential of H(T,p), express (∂H/∂p)T in terms of Cp and the Joule- Thomson coefficient, μ.
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