Question: A partition divides a container into two equal compartments, A and B. Initially compartment A contains a gas of distinguishable particles and compartment B is

A partition divides a container into two equal compartments, A and B. Initially compartment A contains a gas of distinguishable particles and compartment B is empty.

(a) What is the change in the entropy of the gas if the partition is removed and the gas is allowed to expand into the volume $V$ of the container?

(b) If the partition is reinserted after the gas has reached equilibrium in the volume $V$, what is the change in the entropy of the gas due to the reinsertion?

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