All Problems

First law of thermodynamics, heat capacity

Problem 2.27

A thermally insulated vessel containing a gas whose molar mass is equal to \(M\) and the ratio of specific heats \(C_{p} / C_{V}=\gamma\) moves with a velocity \(v\). Find the gas temperature increment resulting from the sudden stoppage of the vessel.

Reveal Answer
ΔT=1/2Mv2(γ1)/R\Delta T=1 / 2 M v^{2}(\gamma-1) / R