Thermodynamics, Statistical Physics, and Quantum Mechanics

THERMODYNAMICS AND STATISTICAL PHYSICS 157

Substituting the Dietrici equation into (S.4.53.1) gives

Using the second criterion (S.4.53.2) gives

where

by (S.4.53.3), so

by (S.4.53.6). (S.4.53.7) then yields

whichcombined with (S.4.53.4)gives

Substituting this result in the RHS of (S.4.53.4) finally yields

Rearranging the original equation of state gives

so