The system sketched in the following igure consists of two rigid (ixed volume) chambers, A and B, which are connected by a porous, thermally insulated membrane. Initially, chamber A has n moles of a gas and B is empty. Chamber A is heated at a constant temperature TA, causing the gas to migrate through the membrane into chamber B, which is maintained at a much lower constant temperature TB. Prove that one of the thermodynamic potentials remains a constant during this process.
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