All Problems

Equation of the gas state processes

Problem 2.24

Find the isothermal compressibility xx of a Van der Waals gas as a function of volume VV at temperature TT. Note. By definition, x=−1V∂V∂px=-\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]
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