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An ideal monoatomic gas is allowed to expand from state point A to state point B according to the process AB. Then heat supplied to the gas is

a
P0V03
b
3P0V04
c
P0V04
d
12P0V0

detailed solution

Correct option is B

At A temperature is T0∴P02.2V0TB=P0V0T0⇒TB=T0∴ΔU=Change to internal energy  =n.CvT0−T0=0         W = Work done by the gas=12P0+P02.2V0−V0=3P0V04∴Heat supplied =ΔU+W=3P0V04

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