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. Choose the correct option:

The initial internal energy of the gas equals its final internal energy.

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The initial temperature of the gas equals its final temperature.

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The initial pressure of the gas equals its final pressure.

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The initial entropy of the gas equals its final entropy.

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Solution

The correct option is B The initial internal energy of the gas equals its final internal energy.
Since the wall is expanding against the vaccum $Δ W = 0$
Also, as it is insulated, $Δ Q = 0$

Using first law of thermodynamics,
$Δ Q = Δ U + Δ W$
$Δ U = 0$

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The correct option is B The initial internal energy of the gas equals its final internal energy.Since the wall is expanding against the vaccum ΔW=0Also, as it is insulated, ΔQ=0Using first law of thermodynamics,ΔQ=ΔU+ΔWΔU=0

The correct option is B The initial internal energy of the gas equals its final internal energy.
Since the wall is expanding against the vaccum $Δ W = 0$
Also, as it is insulated, $Δ Q = 0$

Using first law of thermodynamics,
$Δ Q = Δ U + Δ W$
$Δ U = 0$