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Carnot Engine Cycle

Temperatures

Isothermal expansion

Thermodynamics

η = 1 − Tc/Th

Q_in = nRTh·ln(V₂/V₁)
W_net = Q_in − Q_out
ΔS_universe = 0 (ideal)
Q_hot (absorbed)
Q_cold (rejected)
W_net
Carnot η

About Carnot

Carnot (1824) proved no heat engine can exceed efficiency η = 1 − Tc/Th, regardless of working fluid. The cycle has 4 strokes: isothermal expansion (absorbs Q_h), adiabatic expansion, isothermal compression (rejects Q_c), adiabatic compression. The T-S diagram is a rectangle — entropy is exchanged but the total change is zero, proving reversibility. Real engines (Otto, Diesel) are less efficient.