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Question

In a container m g of a gas is placed. After some time some gas is allowed to escape from container. The pressure of gas becomes half and absolute temperature becomes 2/3rd. The amount of gas escaped is:

A
2m/3
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B
m/2
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C
m/4
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D
m/5
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Solution

The correct option is A m/4
Let x gas is allowed to escape from container
We know that PV=wRTM
P1P2=w1w2T1T2
P1=P,P2=P/2,T1=T,T2=23T
w1=m,w2=mx
PP/2=mmx×T2T/3
2=mmx×32
4(mx)=3m
4m4x=3m
m=4x
or x=m/4

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