Asymptotic expressions for the solute–solute pair correlation integral and for the limiting slope of the composition dependence of the solute’s activity coefficient are derived for the situation in which the solvent’s critical point is approached while the mixture is kept at infinite dilution. Both quantities diverge to plus infinity and scale as the solvent’s compressibility, with prefactors that depend on the temperature, solvent density, and the infinite dilution limit of the solute–solvent direct correlation function integral.
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Debenedetti et al. (1992) studied this question.
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