Statistical Mechanics · Problem 3.8

The Grand Canonical Ensemble — R. K. Pathria

Physics — Statistical Mechanics · ideal-gas-entropy

Problem

Show that, for an ideal gas, SNk=ln⁡(Q1N)+T(∂ln⁡Q1∂T)P.\frac{S}{Nk} = \ln\left(\frac{Q_1}{N}\right) + T\left(\frac{\partial \ln Q_1}{\partial T}\right)_P.

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