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For a reversible adiabatic ideal gas exp...

For a reversible adiabatic ideal gas expansion `(dP)/(P)` is equal to :

A

`gamma(dV)/(v)`

B

`-gamma(dv)/(v)`

C

`((gamma)/(gamma-1))(dV)/(V)`

D

`(dV)/(V)`

Text Solution

Verified by Experts

The correct Answer is:
B
As `PV^(1)="cosntant"impliesp.gammav^(gamma-1)xxdv+V^(gamma).dp=0`
`(dP)/(P)=-gamma(v^(gamma-1))/(V^(gamma))dv`
`implies(dp)/(p)=-gamma(dV)/(V)`
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