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Abstract
A study has been made of the relation between the equation of state of additive binary hard sphere fluid mixtures and the equation of state of a pure hard sphere fluid for the same packing fraction. An analysis of the existing simulation data for a wide variety of compositions of the mixture and diameter ratios up to 1/0.2 makes it possible to conclude that the ratio of the excess compressibility factor of the mixture to that of the pure fluid is, to a very good approximation, a linear function of the packing fraction. This suggests the possibility of deriving the equation of state of the mixture from that of the pure fluid by using the second and third virial coefficients of the mixture, which are known analytically, to reproduce the linear relation mentioned above. When a suitable equation of state is chosen for the pure fluid, the results from the equation of state of the mixture thus obtained are in excellent agreement with simulation data. The predictions for the fourth and fifth virial coefficients also are very accurate compared with known numerical data.