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A container with insulating walls is divided into two equal parts by a partition fitted with a valve. One part is filled with an ideal gas at pressure P and temperature T, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be :

a
P,T
b
P2,T
c
P,T/2
d
P/2,T/2

detailed solution

Correct option is B

It is a free expansion of gas so W = 0. As walls are insulating soQ=0, therefore ∆U=0⇒T=constant So,                    P1V1=P2V2⇒Pf=Pi2

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