The work of expanding a gas. Compute the total work performed when expanding an

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The work of expanding a gas. Compute the total work performed when expanding an ideal gas, at constant temperature, from volume V to 2V. Pulling out the partition between two chambers of a gas. A partition separates equal volumes containing equal numbers N of ideal gas molecules of the same species at the same temperature. Using a simple lattice model for ideal gases, evaluate the relevant multiplicity terms to show that the entropy of the composite system does not change when the partition is removed.

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