A sample of ideal gas undergoes isothermal expansion in a reversible manner from volume `V_(1)` to volume `V_(2)`. The initial pressure is `P_(1)` and the final pressure is `P_(2)`. The same sample is then allowed to undergoes reversible expansion under adiabatic conditions from volume `V_(1) to V_(2)`. The initial pressure being same but final pressure is `P_(2)`.
Which of the following is correct?

Options

A. `P_(1)V_(1) = P_(2)V_(2)`
B. `P_(1)//P_(2) = V_(1)//V_(2)`
C. `P_(1)//P_(2) = P_(1)//P_(3)`
D. `P_(1) = P_(2)`

Explanation

`P_(1)V_(1) = P_(2)V_(2)` (Boyle's law)