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Question

# Two closed vessel A and B of equal volume containing air at pressure P1 and temperature T1 are connected to each other through a narrow open tube. If the temperature of one is now maintained at T1 and other at T2 (where T1>T2) then that what will be the final pressure?

A
T12P1T2
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B
2P1T2T1+T2
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C
2P1T1T1T2
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D
2P1T1+T2
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Solution

## The correct option is C 2P1T2T1+T2Let T1>T2; final pressure will be same. Let x mole transfer from A to B vessel.∴PAV=(n−x)RT1and PAV=(n+x)RT2∴x=n(T1−T2)T1+T2;finally, P1×2V=2nRT1;V=nRT1P1∴PA×nRT1P1=(n−n(T1−T2)T1+T2)RT1PA=2P1T2T1+T2 Hence, the correct option is B

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