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A monoatomic gas is supplied heat Q very slowly keeping the pressure constant. The work done by the gas is

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A monoatomic gas is supplied heat Q very slowly keeping the pressure constant. The work done by the gas is
A. `(2)/(3)Q`
B. `(3)/(5)Q`
C. `(2)/(5)Q`
D. `(1)/(5)Q`
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Correct Answer - C
`DeltaQ=DeltaU+DeltaW`
`=nC_VDeltaT+nRDeltaT`
`=n.(3R)/(2).DeltaT+nRDeltaT`
`Q=(5nRDeltaT)/(2)`
`nRDeltaT=(2Q)/(5)=DeltaW`
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