The possibility of describing the thermodynamic behavior of solutes at infinite dilution using a procedure based upon the Krichevskii function J = (partial derivative p/partial derivative x)(T,V)(infinity) has been explored using properties of N-2, CO2, NH3, and B(OH)(3) dissolved in water. The expressions obtained by fitting one property of the binary systems over a wide range of temperature and fluid density could be used to predict successfully other properties of the same solution over the same range of thermodynamic states; including the near-critical region. Alternative routes to obtain J are discussed.