In a adiabatic process pressure is increased by `2//3%` if `C_(P)//C_(V) = 3//2`. Then the volume decreases by about

Options

A. `(4)/(9)%`
B. `(2)/(3)%`
C. `1%`
D. `(9)/(4)%`

Answer

A

Explanation

For adiabatic process
`(DeltaP)/(DeltaV)= -(gammaP)/(V)`
`(DeltaP)/(P) xx 100 = -gamma (DeltaV)/(V) xx 100 =(2)/(3)`
`(DeltaV)/(V) xx 100 = -(1)/(gamma) xx (2)/(3)`
`= -(2)/(3) xx (2)/(3) = -(4)/(9)%`