2. (20 points) Express $\frac{\partial (G/(RT))}{\partial T}|_V$ in terms of U, H, S, A, and their derivatives.
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We start with the Gibbs free energy $G = H - TS$. Then $G/(RT) = H/(RT) - S/R$. Taking the partial derivative with respect to $T$ at constant $V$, we have $\left(\frac{\partial(G/(RT))}{\partial T}\right)_V = \left(\frac{\partial(H/(RT) - S/R)}{\partial Show more…
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