All Problems

Second law of thermodynamics, entropy

Problem 2.138

An ideal gas with the adiabatic exponent \(\gamma\) goes through a process \(p=p_{0}-\alpha V,\) where \(p_{0}\) and \(\alpha\) are positive constants, and \(V\) 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)