All Problems

Second law of thermodynamics, entropy

Problem 2.138

An ideal gas with the adiabatic exponent γ\gamma goes through a process p=p0αV,p=p_{0}-\alpha V, where p0p_{0} and α\alpha are positive constants, and VV is the volume. At what volume will the gas entropy have the maximum value?

Reveal Answer
Vm=γp0/α(1+γ)V_{m}=\gamma p_{0} / \alpha(1+\gamma)