Thermal Efficiency Calculator

Free Thermal Efficiency Calculator — compute η = W/Qin or η = 1 − Qout/Qin for engines, boilers, and heat pumps in one click.

928.8K uses Updated · 2026-05-12 Runs locally · zero upload
AD

How to Use Thermal Efficiency Calculator

The Thermal Efficiency Calculator quantifies how much of the heat supplied to a cycle is converted into useful work. Pick the formulation that matches your data and the Thermal Efficiency Calculator instantly returns η as a fraction and as a percent.

  1. Choose mode — Work-based (η = W/Qin) or heat-rejection-based (η = 1 − Qout/Qin).
  2. Enter energies — All values share units (kJ, MJ, or BTU); the Thermal Efficiency Calculator only needs consistency.
  3. Read η — Output is shown as 0–1 and 0–100 %.

Formula & Theory — Thermal Efficiency Calculator

η = W / Qin   (work-based)
η = 1 − Qout / Qin   (heat-rejection-based)
SymbolMeaning
ηThermal efficiency (dimensionless)
WNet work output
QinHeat supplied to the cycle
QoutHeat rejected by the cycle

By the first law, W = Qin − Qout for a cyclic device. The Thermal Efficiency Calculator simply rearranges this energy balance.

Assumptions and Limits

The Thermal Efficiency Calculator assumes steady, cyclic operation. For real engines, friction, leakage, and incomplete combustion can change η over time. Compare your result to the Carnot limit 1 − Tcold/Thot to see how close the cycle gets to the theoretical maximum.

Use Cases for Thermal Efficiency Calculator

  • Power plants — Compare Rankine and Brayton cycle efficiencies.
  • Automotive — Benchmark internal-combustion or hybrid powertrains.
  • HVAC and refrigeration — Convert COP/EER into equivalent η values.
  • Education — Connect first-law accounting to real-world performance.

The Thermal Efficiency Calculator delivers a single number that captures how good a thermodynamic cycle is at turning heat into work.

Frequently asked questions about Thermal Efficiency Calculator

How accurate is the Thermal Efficiency Calculator?

The Thermal Efficiency Calculator applies the first law of thermodynamics directly. The result is exact for the energies you provide.

When should I use a Thermal Efficiency Calculator?

Use the Thermal Efficiency Calculator whenever you need to benchmark a heat engine, boiler, or thermodynamic cycle against its maximum possible efficiency.

Can I use either work output or heat rejection?

Yes. The Thermal Efficiency Calculator supports both definitions: η = W/Qin when you know net work, and η = 1 − Qout/Qin when you know heat rejected.

Is my data stored?

No. All calculations happen in your browser; nothing is sent to a server.