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. ` 4%`
D. `(9)/(4)%`

Answer

A

Explanation

`PV^(gamma)`=constant (k)
`ln P+(3)/(2)lnV=lnk`
`:. (DeltaP)/(P)+(3)/(2)(DeltaV)/(V)=0`
`:. (DeltaV)/(V)=-(2)/(3)(DeltaP)/(P)`
`:. (DeltaP)/(V)xx100=-(2)/(3)((DeltaP)/(P)xx100)=-(4)/(9)`
`:.` Volume decreasces bt about `(4)/(9)%`