Consider a system of N non-interacting distinguishable particles spin half particles each of which has magnetic moment u and the system is at an equilibrium temperature T in a magnetic field B such that n particles have their magnetic moments aligned parallel to B.
Find the entropy and energy of the system
Determine T using the relation between S and E. Determine the ratio n/N in terms of the chemical potential, B and T
The Attempt at a Solution
I know that the entropy of the system is k ln (Factorial(N)/(Factorial(n)*Factorial(N-n))). But how to determine the energy and the temperature. should i calculate the partition function?