Calculadora de Eficiência de Carnot
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
η = 1 − T_c/T_h
About this calculator
The Carnot Efficiency Calculator determines the maximum theoretical efficiency of a heat engine operating between two constant-temperature reservoirs. The calculation uses the formula η = 1 − T_c/T_h, where T_c is the absolute temperature of the cold reservoir and T_h that of the hot reservoir, both in Kelvin. This equation, derived from the Carnot cycle, represents the upper limit of efficiency for any real heat engine, regardless of working fluid or design.
Practical use of this tool is essential in thermodynamic engineering, engine design, power plants, and refrigeration. For example, when designing a steam turbine, the engineer can calculate the maximum possible efficiency given the boiler and condenser temperatures. This helps identify improvement potential and compare real performance with the ideal. The calculator is useful both for students learning fundamental concepts and for professionals seeking to optimize systems.
Important precautions: temperatures must be in Kelvin (K), not Celsius or Fahrenheit. Common mistakes include using relative temperatures or swapping the values. Remember that Carnot efficiency is a theoretical limit; real engines always have lower efficiency due to irreversibilities like friction and heat loss. Additionally, the formula assumes infinite reservoirs and reversible processes, ideal conditions that do not occur in practice. Therefore, use the result as a reference, not as an exact prediction.
Frequently asked questions
Why do I need to use Kelvin in the calculator?
The Carnot formula requires absolute temperature because it is based on the thermodynamic scale. Kelvin is the standard unit; using Celsius or Fahrenheit would yield incorrect values.
What does 100% efficiency mean?
It means T_c = 0 K, i.e., the cold reservoir is at absolute zero. This is impossible to achieve in practice, so efficiency never reaches 100%.
Can I use this calculator for refrigerators?
Yes, but for refrigerators the coefficient of performance (COP) is used. The Carnot efficiency for refrigeration is COP = T_c/(T_h − T_c).
Is Carnot efficiency equal to the real efficiency of my engine?
No. Carnot efficiency is the theoretical maximum limit. Real engines have lower efficiency due to friction, imperfect heat transfer, and other losses.
What if T_c is greater than T_h?
The formula would yield negative efficiency, which is physically meaningless. Ensure the hot temperature is always higher than the cold one.