A classical system of N distinguishable non-interacting particles of mass m is placed in a three dimentional harmonic well :
U(r) = (X2 + y2 + Z2 )/2V2/3 . Find:
1- The partition function and the Helmholtz free energy .
2- the equation of state and compare it to that of a gas in a container with rigid walls.
3- The entropy, internal energy, and total heat capacity at constant volume .