The velocity of sound has previously been measured in liquids CCl, (Rowlinson, 1959) at constant pressure and in CF4 (Aziz et al., 1967) Table 1. To see that it is the relative value which is determined, consider Figure 2 in which we have schematically plotted log (VU2M/ ( d k ) for substances X and Y. Assume that the reduced curve V," vs. To is represented by the dotted line. The precise location of the reduced curve will depend on the specific model potential chosen with the form of Equation ( 3 ) . The curves for X and Y may be brought into coincidence with the dotted one by mapping corresponding points along a 45" angle. For example, points A and B map into C and lengths ab and de, both equal to log e Y / c x give the relative value of the energy parameter regardless of the detailed form of the intermolecular potential provided only it has the general form of Equation (1). Thus, the determination of the relative value of c can be made in an unambiguous way without any simultaneous adjustment of Nok) = log VUo2 + log ( d k ) VS. log T = log To + log U.
CONCLUSIONBy forcing corresponding states as applied to sound velocity in the liquid freons, we have obtained accurate relative values of the energy parameter of an effective intermolecular potential of form of Equation (3) in an unambiguous way. These relative values of d k may be useful in removing the indeterminacy of potentiaI parameters in the regression of other data.
July, 1974Poge 817 ACKNOWLEDGMENT