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Q.

Two cylinders A and B of equal capacties  are connected to each other via a stopcock .A contains a gas at STP. B is completely evacuated.The entire system is thermally insulated.The stop cock is suddenly opened.Answer the following :

 

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a

There is no change in the final pressure of the gas in A and B

b

There is no change in internal energy of the gas

c

There is no change in the temperature of the gas

d

both 2 & 3 are correct

answer is D.

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Detailed Solution

As the gas undergoes free expansion and walls of the container are made of insulating material , W = 0 and Q = 0. Therefore from Q=U +W , we can write U = 0 . the internal energy remains constant so temperature remains constant. But as the volume of gas is increasing its pressure decreases.

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Two cylinders A and B of equal capacties  are connected to each other via a stopcock .A contains a gas at STP. B is completely evacuated.The entire system is thermally insulated.The stop cock is suddenly opened.Answer the following :