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[QUE/SM-04002] SM-PROBLEM

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Consider N particles having volume V  with the energy per particle be given by the relativistic expression $\sqrt{c^2\,p^2\,+\,m^2\, c^4}$. It is in equilibrium with a reservoir at temperature T. Assuming $\frac{p}{mc}$ is small, find the leading correction to the (a) Canonical partition function and (b) Entropy in terms of V,N and T up to an overall constant.

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