Problem 2.59

For a Van der Waals gas find: (a) the equation of the adiabatic curve in the variables \(T, V\); (b) the difference of the molar heat capacities \(C_{p}-C_{V}\) as a function of \(T\) and \(V\).

Reveal Answer

\begin{aligned} &\text { 2.59. (a) } T(V-b)^{R / C_{V}}=\text { const; }\\ &\text { (b) } C_{p}-C_{V}=\frac{R}{1-2 a(V-b)^{2} / R T V^{3}} \text { . } \end{aligned}

First law of thermodynamics, heat capacity