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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, as shown in the diagram. The final internal pressure, volume and absolute temperature of the gas are P2, V2 and T2, respectively. For this expansion,
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A
q=0
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B
T2=T1
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C
P2V2=P1V1
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D
P2Vγ2=P1Vγ1
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Solution

The correct options are
A T2=T1
B q=0
C P2V2=P1V1
Since container is thermally insulated. So, q = 0, and it is a case of free expansion, therefore, W = 0 and ΔE = 0
So, T1=T2.
Also, P1V1=P2V2.

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