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Question

# Two closed vessels of an equal volume containing air at pressure P1 and temperature T1 are connected to each other through a narrow tube. If the temperature in one of the vessels is now maintained at T1 and that in the other at T2, what will be the pressure in the vessels?

A
2P1T1T1+T2
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B
T12P1T2
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C
2P1T2T1+T2
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D
2P1T1+T2
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Solution

## The correct option is A 2P1T2T1+T2Initial mole=final moleaccording to the ideal gas equationn=PVRTP1VT1R+P1VRT1=PVRT1+PVRT2VR(P1T1+P1T1)=VR(PT1+PT2)2P1T1=P(1T1+1T2)2P1T1=P(T2+T1T1T2)2P1T1T2T1=P(T2+T1)P=2P1T2T1+T2.

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