Questions

The partition function of a certain system is

Z=exp[aT3V]

where a is a positive constant. Obtain expressions for (a) the Helmholtz free energy and (b) the internal energy.

Answers

1 (a) From Equation 11,

F = –kBTlnZ = -akBT4V

(b) From Equations 12 and 13,

U =



=



=



=



=(kBT2)3aT2V

=3akBT4V