Thermodynamics, Statistical Physics, and Quantum Mechanics

THERMODYNAMICS AND STATISTICAL PHYSICS 155

van der Waals (MIT)

a) The heat capacity isdefined as

By using the Maxwell relation

we may write

Substituting the van der Waals equation of state

into (S.4.52.3) gives

b) The entropy may be computed from

We were given that at therefore, again using (S.4.52.2)
and (S.4.52.4), we obtain

c) The internal energy may be calculated in the same way from

4.52