Initial volume of three samples of same gas `A, B and C` are same. The process A is adiabatic, B is isobaric and C is isothermal. Each of the sample has same final pressure and volume. The initial pressure of which sample was maximum.

Options

A. `A`
B. `B`
C. `C`
D. Same pressure for all samples

Answer

A

Explanation

`P_AV^(gamma) = P(V+DeltaV)^(gamma) = PV^(gamma)(1+(DeltaV)/(V))^(gamma)`
`P_(A) = P(1+(DeltaV)/(V))^(gamma)`
Also `P_(B) = P`
and `P_cV = P(V+DeltaV) = PV(1+(DeltaV)/(V))`
or `P_c = P(1+(DeltaV)/(V))`
obviouslym `P_(A) gt P_(C) gt P_(B)`.