(a) By direct differentiation

(a) By direct differentiation of H = U + P V, obtain a relation between (∂H/∂U)p and (∂U/∂V)p
(b) Confirm that (∂H/∂U)p = I + p(∂V/∂U)p by expressing (∂H/∂U)p as the ratio of two derivatives with respect to volume and then using the definition of enthalpy.

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