Physical Sciences
Thermodynamics
1824
IntermediateCarnot Efficiency
Maximum efficiency of any heat engine operating between hot and cold reservoirs.
By Sadi Carnot
Physical Sciences
Carnot Efficiency
1824 · Sadi Carnot
Human Reviewed
84%
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Story PortalWho discovered this?Discover how Sadi Carnot and others shaped this equation.Visual PortalWhat does it look like?See the equation come alive in the Visual Studio.Machine PortalWhere is it used?Explore machines powered by this equation — power plants.Math PortalWhat does it derive from?Trace the mathematical lineage from entropy equation.Future PortalWhere is it going?Fusion power efficiency limits
Why it matters: Guided power plant design and proved the impossibility of perpetual motion.
Discoverers: Sadi Carnot (1824)
What does it mean?
Maximum efficiency of any heat engine operating between hot and cold reservoirs.
Why should I care?
Guided power plant design and proved the impossibility of perpetual motion.
Equation Compass
North — Prerequisites
West — History
East — Applications
South — Derivations
Variables & Units
| Symbol | Name | Unit | Meaning |
|---|---|---|---|
| Efficiency | — | Thermal efficiency | |
| Hot reservoir | K | High temperature | |
| Cold reservoir | K | Low temperature |
Worked Example
T_H=600K, T_C=300K → η_max = 50%.
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Carnot Efficiency
Real-world impact
Energy infrastructure
Thermodynamic limits shape power and transport.
Photo: Unsplash — power plant
Maximum efficiency of any heat engine operating between hot and cold reservoirs.
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