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## Homework Statement

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

## Homework Equations

## 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?