(a) A pure substance is described by an expression for G(T, P). Show how to determine Z, U, and C_V, in relation to G, T, and P and/or derivatives of G with respect to T and P.
(b) A pure substance is described by an expression for A(T, V). Show how to determine Z, H, and C_P, in relation to A, T, and V and/or derivatives of A with respect to T and V.