For an isothermal expansion of a perfect gas, the value of `(DeltaP)/(P)` is

Options

A. `-gamma^((1)/(2))(DeltaV)/(V)`
B. `-(DeltaV)/(V)`
C. `-gamma(DeltaV)/(V)`
D. `gamma^2(DeltaV)/(V)`

Answer

B

Explanation

`PV=nRT`
`PDeltaV+VDeltaP=nRDeltaT=0`
`(DeltaP)/(P)=-(DeltaV)/(V)`