Derive an expansions for the work done in one cycle during adiabatic expansion.

Explanation

Consider one mole of an ideal gas enclosed in a cylinder with perfectly non conducting piston.
`P_(1)` - initial pressure
`V_(1)` - initial volume
`T_(1)` - Initial temperature
A - area of cross-section
Force excited by the gas on the piston is `F=PxxA`
where P - Pressure of the gas during expansion.