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A monoatomic gas is supplied heat Q very...

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`

Text Solution

Verified by Experts

The correct Answer is:
C
`DeltaQ = DeltaU+DeltaW`
`implies DeltaW=(DeltaQ)_(P)-DeltaU=(DeltaQ)_(p)[[1-((DeltaQ)_V))/((DeltaQ)_(P))]`
`=(DeltaQ)_(P)[1-(C_V)/(C_P)]=Q = [1-3/5]=2/5Q`
`:' (DeltaQ)_(P) = Q ` and `gamma = 5/3` for monatomic gas .s
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