Thermodynamics

Carnot Efficiency

ηC=1TCTH\eta_C = 1 - \frac{T_C}{T_H}

Maximum efficiency of heat engine between two temperatures.

Variables

η_C
Carnot efficiency
Maximum efficiency
unitless
T_C
Cold temperature
Cold reservoir temp
K
T_H
Hot temperature
Hot reservoir temp
K

Derivation

From Carnot cycle: η = W/Q_H = 1 - Q_C/Q_H = 1 - T_C/T_H.

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Common questions

What is the Carnot Efficiency formula?

Carnot Efficiency is written η_C = 1 - T_C/Tₕ. Maximum efficiency of heat engine between two temperatures. It belongs to Thermodynamics, under Second Law.

What are the units in η_C = 1 - T_C/Tₕ?

In SI units, η_C is carnot efficiency (dimensionless); T_C is cold temperature, measured in K; T_H is hot temperature, measured in K.

How is the Carnot Efficiency formula derived?

From Carnot cycle: η = W/Q_H = 1 - Q_C/Q_H = 1 - T_C/T_H. The result is η_C = 1 - T_C/Tₕ.