Two samples `A` and `B` are initially kept in the same state. The sample `A` is expanded through an adiabatic process and the sample `B` through an isothermal process. The final volumes of the samples are the same .The final pressures in `A` and `B` are `p_A` and `P_B` respectively.

Options

A. `p_(A) gt p_(B)`
B. `p_(A) =p_(B)`
C. `p_(A) lt p_(B)`
D. The relation between `p_(A) and p_(B)` cannot be defined

Answer

C

Explanation

For adiabatic
`P_(A)V_(A)^(gamma)=C …………(ii)`
For isothermal
`P_(B)V_(B)=p_(B) V_(A) …………..(i)`
From (i) and (ii)
`p_(A) lt p_(B)`