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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
2P1T2T1T2
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D
2P1T1+T2
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Solution

The correct option is B 2P1T2T1+T2
Let the final pressure of the containers be P.
For connecting vessels,
Initial moles of vessel (A+B) = Final moles of vessel (A+B)P1VRT1+P1VRT1=PVRT1+PVRT2P1T1+P1T1=PT1+PT22P1T1=P(T1+T2T1T2) P=2P1T2T1+T2

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