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An ideal mono atomic gas is expanded from state point A to state point B by the process AB. If W be the work done by the gas and U be the change in its internal energy, then WU is equal to 

a
34
b
23
c
14
d
13

detailed solution

Correct option is D

At A, P0V0=nRT0  at B, TB=2P0.2V0nR=4T0Now, W=12P0+2P02V0-V0=32P0V0∆U=n.CvTB-TA=n32R4T0-T0=92nRT0=92P0V0∴W∆U=3P0V0292P0V0=13

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