Show that the mean interaction energy of N atoms of diameter d interacting with a

Chapter 18, Problem 18.13

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Show that the mean interaction energy of N atoms of diameter d interacting with a potential energy of the form C6/R6 is given by U = 2N2C6/3Vd3, where V is the volume in which the molecules are confined and all effects of clustering are ignored. Hence, find a connection between the van der Waals parameter a and C6, from n2alV2 = (U/V)T.

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