Thermodynamic Cycles & Entropy

Carnot · Otto · Stirling cycles · PV diagram and entropy production

CYCLE

TEMPERATURES

RESULTS

Efficiency η
η_Carnot
W_net
Q_hot
ΔS_universe
2nd Law: ΔS_universe ≥ 0

Carnot: Reversible — maximum efficiency η=1−T_c/T_h. ΔS=0.

Otto: Gasoline engine cycle. Irreversible heat addition at constant volume → ΔS > 0.

Stirling: Ideal Stirling has regenerator recovering heat — can approach Carnot efficiency. Piston animation shows phase-shifted pistons.

ANIMATION