Chapter 2, Problem 2.18NP

An ideal gas undergoes an expansion from the initial state described by ${\text{P}}_{\text{i}},{\text{ V}}_{\text{i}},$ T to a final state described by ${\text{P}}_{\text{f}},{\text{V}}_{\text{f}},$ T in (a) a process at the constant external pressure ${\text{P}}_{\text{f}}$, and (b) in a reversible process. Derive expressions for the largest mass that can be lifted through a height h in the surroundings in these processes.