(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A classical system of N distinguishable, non-interacting particles of mass m is placed in a 3D harmonic potential,

[tex] U(r) = c \frac{x^2 + y^2 + z^2}{2 V^{2/3}} [/tex]

where V is a volume and c is a constant with units of energy.

(a) Find the partition function and the Helmholtz free energy of the system.

(b) Find the entropy, the internal energy and the total heat capacity at a constant volume for the system.

2. Relevant equations

[tex] Z = \Sigma \exp{-E_i / kT} [/tex]

[tex] H = U - TS [/tex]

[tex] f(E)= A \exp{-E/kT} [/tex]

3. The attempt at a solution

Unfortunately, I'm not sure where to start on this one. Anybody able to give me a tip in the right direction?

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# Homework Help: Thermo attributes of ideal gas in 3D harmonic potential

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