`P_(i), V_(i)`are initial pressure and volumes and `V_(f)` is final volume of a gas in a thermodynamic process respectively. If `PV^(n) =` constant, then the amount of work done by gas is`: (gamma = C_(p)//C_(v))`. Assume same, initial states & same final volume in all processes.

Options

A. minimum for `n = gamma`
B. minimum for `n = 1`
C. minimum for `n =0`
D. minimum for `n = (1)/(gamma)`

Answer

A

Explanation

For largen n, pressure will be smaller, so work done will be smaller for larger n.