[QUE/SM-04013] SM-PROBLEM

A box of volume, \(V = L^3\) , contains an ideal gas of \(N\) identical atoms, each of which has spin, \(s = 1/2\), and magnetic moment, \(\mu\). A magnetic field, \(B\) is applied to the system. (a) Compute the partition function for this system. (b) Compute the internal energy and the heat capacity. (c) What is the magnetization?