[QUE/TH-08006] TH-PROBLEM

\noindent (a)~ Consider a PV system undergoing change of state from 1 to
2. If the system is in contact with a thermal reservoir at
temperature $T$, show that the maximum amount of work out put
$|W_0|$ is given by
\begin{eqnarray}
|W_0| \le& F_1-F_2&\hfill{[4]}
\end{eqnarray}
\noindent(b)~For a reversible process show that
$$ |W_0| = F_1-F_2 $$
where $F$ is the Helmholtz free energy \hfill{[4]}