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Question

# One mole of an ideal gas u ndergoes a process:P=P01+(V0/V)2.Here P0 and V0 are constants. change in temperature of the gas when volume is changed from V=V0 to V=2V0 is:

A
2P0V05R
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B
11P0V010R
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C
5P0V04R
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D
P0V0
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Solution

## The correct option is B 11P0V010RGiven,P=P01+(V0V)2Number of moles of gas, n=1For V1=V0,P1=P01+12=P02For V2=2V0,P2=P01+(12)2=45P0Using ideal gas equation,PV=nRTP1V1=RT1T1=P0V02RP2V2=RT2 T2=8P0V05R ΔT=T2−T1 =(85−12)P0V0R =11P0V010RHence, option (B) is correct.

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