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A mono atomic gas is supplied the heat Q...

A mono atomic gas is supplied the heat Q very slowly keeping the pressure constant.The work done by the gas will be

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
Since, `Delta Q=Delta U+Delta W`
`implies Delta W=(Delta Q)_P -Delta U = (Delta Q)_P - (Delta Q)_V`
`implies Delta W = (Delta Q)_P [1-(C_V)/(C_P)]=Q[1-3/5]`
`Delta W=2/5 Q`
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