Adiabatic Compression of Carnot Cycle

Adiabatic Compression of Carnot Cycle

The cylinder is now placed on the insulating stand and the piston is further moved down in such a way that the gas is compressed adiabatically to its initial volume V₁ and pressure P₁. As the gas is insulated from all sides heat produced raises the temperature of the gas to T₁. This change is adiabatic and is represented by DA. Let W₄ be the work done on the gas in compressing it adiabatically from a state D (V₄, P₄) to the initial state A (V₁, P₁).

Then, W₄ = ^v1∫_v4 – PdV = -R/(γ-1).(T₂-T₁)

The negative sign indicates that work is done on the working substances.

So, W₄ = R/(γ-1).(T₁-T₂) = Area DAEFD