engineering

Carnot Efficiency Calculator

Calculate Carnot cycle efficiency, net work, and required temperatures for a given efficiency

Carnot Efficiency Calculator

η = 1 − T_cold / T_hot  (Kelvin)

Results

Carnot Efficiency η

50.00%

= 0.5000

Net Work W_net

500.00 J

Heat Rejected Q_out

500.00 J

COP (refrigerator)

1.0000

Formula

η = 1 − T_c/T_h = 1 − 300.00 / 600.00

= 50.00%

How to Use This Calculator

1

Enter the hot reservoir temperature (TH)

Input the high-temperature heat source in Kelvin, Celsius, or Fahrenheit.

2

Enter the cold reservoir temperature (TC)

Input the low-temperature heat sink in the same or different temperature unit.

3

Read the Carnot efficiency

The calculator computes η = 1 − TC/TH (using absolute temperatures) and displays the maximum theoretical efficiency as a percentage.

Formula Reference

Carnot Efficiency

η_Carnot = 1 − T_C / T_H

Variables: T_C = absolute cold reservoir temperature (K), T_H = absolute hot reservoir temperature (K)

When to Use This Calculator

  • Use the Carnot Efficiency Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

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