Blundell Thermal Physics · Problem 16.1

Thermodynamic potentials

Physics — Statistical Mechanics · thermodynamic-potentials-definitions-maxwell-relations

Problem

(a) Using the first law

\mathrm{d}U = T\mathrm{d}S - p\mathrm{d}V

to provide a reminder, write down the definitions of the four thermodynamic potentials

U

H

F

G

(in terms of

U

S

T

p

V

), and give

\mathrm{d}U

\mathrm{d}H

\mathrm{d}F

\mathrm{d}G

in terms of

T

S

p

V

and their derivatives. (b) Derive all the Maxwell's relations.