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Recent developments in the theory of fluids have produced an analytical expression for the PVT behavior of rigid-sphere fluids. The equation (PV/NkT)⁰=(1+y+y²-y³)(1-y)³, where y=b/4V=√2πNσ³6V, has been shown to be the best analytical equation for rigid-sphere fluids presently known. Incorporation of the expression into the model of Longuet-Higgins and Widom for argon near its triple point, in a manner used by Guggenheim, demonstrates the sensitivity of predicted liquid behavior to the mathematical expression for rigid-sphere PVT behavior.
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Carnahan et al. (1970) studied this question.
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