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A quantity of heat Q is supplied to a mo...

A quantity of heat Q is supplied to a monoatomic ideal gas which expands at constant pressure. The fraction of heat that goes into work done by the gas `((W)/(Q))` is

A

`2/5`

B

`3/5`

C

`2/3`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
A
Take 1 mole of gas `C_P Delta T = C_v DeltaT = DeltaW`
`:. DeltaW = (C_p-C_v) DeltaT`
Fraction of heat converted into work
`(DeltaW)/(DeltaQ) = ((C_p-C_v)DeltaT)/(C_pDeltaT) = -1-1/(gamma) = (1-3/5) = 2/5`.
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