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A dilute gas is stored in one side of a chamber where the other side is...

A dilute gas is stored in one side of a chamber where the other side is vacuum. The two sides are separated by a partition and the chamber is insulated perfectly from outside. Then the partition is removed, the gas in the one side of the chamber is going to fill the entire chamber. Calculate the work done by the gas and estimate the change in the internal energy of the gas in the process.
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Answer #1

This process is called Free expansion. In this process, Volume of gas changes but still work transfer is considered zero. This is because the work is not done against any resistance. vacuum does not offer resistance to the expansion of gas. so work is zero. As the chamber is insulated, there is no heat interaction as well.

From first law of thermodynamics

dQ=dU+dW for any process.

In this process, dQ and dW both are zero so dU ( change in internal energy) will also be equal to zero. This process is an irreversible process.

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