[QUE/SM-04017] SM-PROBLEM

Consider a system A and an environment at temperature $T_e$, pressure $P_e$ not in equilibrium with each other. If $\Delta U$, $ \Delta S $ and $\Delta V$ are the changes in the internal energy , entropy and volume of A respectively then we have $$ W_{min}\,\equiv\,\Delta U\,-\,T_e\Delta S\,+\,P_e\Delta V\,\leq\,W $$ where W is the work done by the environment other than $-P_e\Delta V$. Interpret this when $W_{min}\,>\,0$ and when $-W_{min}\,\equiv\,W_{max}$ when $W_{min}\,<\,0$. Assume the environmental temperature is constant $T_e$.

HSMani