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(a) on the assumption that Z=zN is correct for a gas of particles, show that Helmholtz...

(a) on the assumption that Z=zN is correct for a gas of particles, show that Helmholtz free energy for such a gas would be given by : F = -NKT In[ V (mKT/2πђ2)3/2 ]

(b) Helmholtz free energy in question (a) is not extensive. Explain what this means and explain why this is a problem

(c) Discuss in detail how this problem may be solved and give the resultant expression for F

(d) The resolution relies on the thermodynamic limit; explain

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