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Question:

An ideal gas in a thermally insulated vessel at internal pressure=P1, volume=V1 and absolute temperature=T1 expands irreversibly against zero external pressure. The final internal pressure, volume and absolute temperature of the gas are P2, V2 and T2, respectively. For this expansion, which of the following relationships are correct?

q=0

T2=T1

P2V2=P1V1

P2Vγ2=P1Vγ1

Solution:

Since the container is thermally insulated, q=0, and it is a case of free expansion, therefore, W=0 and ΔE=0. So, T1=T2. Also, P1V1=P2V2.