During an adiabatic process , the pressure p of a fixed mass of an ideal gas change by `Deltap`and its volume V change by `DeltaV` . If `gamma=C_(p)//C_(v)` then `DeltaV//V` is given by

Options

A. `-(Deltap)/(p)`
B. `-gamma(Deltap)/(p)`
C. `-(Deltap)/(gammap)`
D. `(Deltap)/(gamma^(2)p)`

Answer

C

Explanation

As, `K_(a)=gammap=-(Deltap)/(DeltaV//V)`
`therefore(DeltaV)/(V)=-(Deltap)/(gammap)`