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Question

An ideal gas in thermally insulated vessel at internal pressure =P1. volume =V1 and absolute temperature =T1 expands irrversibly 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.


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 q=0
B T2=T1
C P2V2=P1V1
Since the vessel is thermally insulated hence, q=0
Work done w=0 is zero for free expansion .
ΔU is also zero for free expansion , so T1=T2,and
PV= constant ( isothermal process )

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