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A study is made of the effect of potential perturbations on the equilibrium properties of a hard sphere system at both high and low densities. The perturbation is evaluated beyond the first-order term for the second and third virial coefficients to estimate the region of convergence. The results of the first-order perturbation from the virial expansion, superposition theory, and free-volume theory are compared. A comparison with experimental data is made to show the applicability of this perturbation from a hard sphere potential to the estimation of the equilibrium properties of a great variety of gases at moderately high temperatures.
Smith et al. (Fri,) studied this question.