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Question

Pressure P, volume V and temperature T for a certain gas are related by p=ATBT2V, where A and B are constants.The work done by the gas as its temperature change from T1 to T2 while pressure remaining constant is:

A
AB2(T2T1)
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B
A(T2T1)B(T22T21)
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C
A2T22T21)B3(T32T31)
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D
A(T2T1)2B3(T2T1)3
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Solution

The correct option is B A(T2T1)B(T22T21)
P= constant Isobaric process
Work done =PΔV=nRΔT
V=ATBT2P
ΔV=1P[A(T2T1)B(T22T21)]
Work done =PΔV=P×1P×[A(T2T1)B(T22T21)]
=A(T2T1)B(T22T21)

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