Suppose that an intermolecular potential has a hard-sphere


Question: Suppose that an intermolecular potential has a hard-sphere core of radius r1 and a shallow attractive well of uniform depth e out to a distance r2. Show, by using eqn and the condition e kT, that such a model is approximately consistent with a van der Waals equation of state when bVm, and relate the van der Waals parameters and the Joule-Thomson coefficient to the parameters in this model.

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Mathematics: Suppose that an intermolecular potential has a hard-sphere
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