Energy and Entropy 2020
The Gibbs free energy,
\(G\), is given by
\begin{align*}
G = U + pV - TS.
\end{align*}

Find the total differential of \(G\). As always, show your work.

Interpret the coefficients of the total differential \(dG\) in
order to find a derivative expression for the entropy \(S\).

From the total differential \(dG\), obtain a different
thermodynamic derivative that is equal to
\[ \left(\frac{\partial {S}}{\partial {p}}\right)_{T} \]