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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