On the Critical Region of a Simple Fluid. II. Scaling-Law Equation of State

Abstract

The scaling‐law equation of state is used to illustrate some consequences of the elementary index inequalities β + γ − > 1 > α − + β . It is shown that (∂ 2 P / ∂T 2 ) V evaluated on the phase boundary below T c from the homogeneous‐phase side diverges with index (α + β) , where α is the (scaling‐law) index for C V=V c . Also, it is shown that C P=P c diverges with index [1 − (1 / δ)] on the critical isobar, where δ is the degree of the critical isotherm.