Abstract
Sound speed in liquids is calculated in terms of Mie potential parameters with the assumption that the intermolecular potential energy is the dominant factor. Using this simple model, it is shown that Beyer’s parameter of nonlinearity, Rao’s exponent, and the Gruneisen parameter are all simply related to each other. Liquids obey a law of corresponding states in terms of reduced variables c 2/U 0 and V/V 0, where c is sound speed,U 0 is the heat of vaporization,V is specific volume, and V 0 specific volume at absolute zero temperature. To a first approximation, the parameter of nonlinearity is shown to be a linear function of reciprocal sound speed, and the calculated results are in reasonably good agreement with the empirical result noted by Ballou.