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The topic is free expansion in thermodynamics. A big box is divided into two halves, one side with a vacuum and the other with gas at a certain pressure and temperature. When the membrane is burst, the gas freely travels between both halves and fills them equally. The key questions include the work done, change in internal energy, and heat exchange. According to the first law of thermodynamics, the change in internal energy is equal to the heat added to the gas minus the work done by the gas.
