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Q.

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 :

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a

P,T

b

P2,T

c

P,T/2

d

P/2,T/2

answer is B.

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Detailed Solution

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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