Problems and Solutions on Thermodynamics and Statistical Mechanics

280 Problems d Solutionn on Thermod~nam'cs d StaciJtical Mechanics

The corresponding total energies are

Hence the average energy per particle is

E E++E-

N- N

--

For p(0) PBH,

E3

N

(c) The pressure is

2N 2

T ap(0) av 5v

(d) For p(0) > ~BH, the magnetization is given by

M = pg(N- - N+)/V = - 3PiN H=xH.

2P(O)V

3NPi

2P(O)V *

Hence x = -

2106

Consider a Fermi gas model of nuclei.

Except for the Pauli principle, the nucleons in a heavy nucleus are

assumed to move independently in a sphere corresponding to the nuclear

volume V. They are considered as a completely degenerate Fermi gas. Let

A = N (the number of neutrons) +Z (the number of protons), assume N =

2, and compute the kinetic energy per nucleon, Ekin/A, with this model.