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For an adiabatic reversible expansion of...

For an adiabatic reversible expansion of a perfect gas `DeltaP//P` is equal to

A

`(DeltaV)/(V)`

B

`gamma(DeltaV)/(V)`

C

`-gamma(DeltaV)/(V)`

D

`-gamma^(2)(DeltaV)/(V)`

Text Solution

Verified by Experts

The correct Answer is:
C
`PV^(gamma)=K`
`gammaPV^(gamma-1)dP+V^(gamma)dP`=0
or `gamma PV^(gamma-1)dV=V^(gamma)dP " or"-gamma(dV)/(V)=(dP)/(P)`
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