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)`.
The work of expansion in adiabatic process `(w_(adi))` is related to work of expansion in isothermal process `(w_(iso))` is

Options

A. `w_(adi) = w_(iso)`
B. `w_(adi) lt w_(iso)`
C. `w_(adi) = 2w_(iso)`
D. `w_(adi) gt w_(iso)`

Explanation

Work in reversible isothermal expansion is greater than work done in adiabatic expansion.