Adiabatic Expansion of Carnot Cycle

Adiabatic expansion of Carnot Cycle

If the cylinder is taken from the source and is placed on the insulting stand and the piston is moved further so that the volume of the gas changes from V₂ to V₃ and the pressure changes from P₂ to P₃. This adiabatic expansion is represented by BC. Since the gas is thermally insulated from all sides no heat can be gained from the surroundings. The temperature of the gas falls from T₁ to T₂.

Let W₂ be the work done by the gas in expanding adiabatically.

W₂ = ^v3∫_v2 PdV = R/(γ-1).(T₁-T₂) = Area BCHGB