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In adiabatic process, the pressure is in...

In adiabatic process, the pressure is increased by `2//3%`. If `gamma=3//2` then the volume decreases by nearly –

A

`(4)/(9)%`

B

`(2)/(3)%`

C

`1%`

D

`(9)/(4)%`

Text Solution

Verified by Experts

The correct Answer is:
A
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)%`
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