Thermodynamics, Statistical Physics, and Quantum Mechanics

154 SOLUTIONS

(since implies Integrating (S.4.50.6) and

(S.4.50.7), weobtain

where and aresome functions of temperature. Since weknow

from (a), we infer that andfinally

Nonideal Gas Expansion (Michigan State)

a) The workdone inthe expansion

b) To find the heat absorbed in theexpansion usethe Maxwell relations

given in theproblem:

where theprimeindicates the derivative withrespect to Integrating

(S.4.51.2), weobtain

where is somefunction of Theheat absorbedin the expansion

and

4.51