All Problems

Equation of the gas state processes

Problem 2.24

Find the isothermal compressibility \(x\) of a Van der Waals gas as a function of volume \(V\) at temperature \(T\). Note. By definition, \(x=-\frac{1}{V} \frac{\partial V}{\partial p}\).

Reveal Answer
x=V2(V−b)2/[RTV3−2a(V−b)2]x=V^{2}(V-b)^{2} /\left[R T V^{3}-2 a(V-b)^{2}\right]