A container with rigid walls is covered with perfectly insulating material. The container is divided into two parts by a partition. One part contains a gas while the other is fully evacuated (vacuum). The partition is suddenly removed. The gas rushes to fill the entire volume and comes to equilibrium after a little time. If the gas is not ideal,
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Since the wall is expanding against the vaccum ΔW=0
Also, as it is insulated, ΔQ=0
Using first law of thermodynamics,
ΔQ=ΔU+ΔW
ΔU=0
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