Boltzman Distributioii LawThe derivation to he presented is identical in most respects with the usual one. It differs from the latter mainly in that the Stirling approximation is not employed; an approximation is necessary, but the particular approximation which is used here has the merit that it can be introduced at the very end of the derivation. The discussion of "thermodynamic" probability is also somewhat different; it is based on

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In order to demonstrate those aspects of dimensional analysis that are useful in the theory of models, it is employed to derive the ideal gas law, the law of corresponding states, and the virial equation in reduced form.

It is shown that any two-body intermolecular potential function can be put into a dimensionless form involving only one energy parameter, e0, and only one length parameter, r0, in addition to any dimensionless intermolecular potential function-shape parameters Ci, Ci, ...