Question: A rigid, perfectly insulated container has a membrane dividing its volume in half. One side contains a gas at an absolute temperature T 0 and

A rigid, perfectly insulated container has a membrane dividing its volume in half. One side contains a gas at an absolute temperature T₀ and pressure p₀ , while the other half is completely empty. Suddenly a small hole develops in the membrane, allowing the gas to leak out into the other half until it eventually occupies twice its original volume. In terms of T₀ and p₀ , what will be the new temperature and pressure of the gas when it is distributed equally in both halves of the container? Explain your reasoning.

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