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Heat Engine Efficiency: Thermal efficiency fraction Calculator

Heat Engine Efficiency: Calculate thermal efficiency fraction from Work magnitude, Transferred heat magnitude. Check the formula, input units and worked result on this page.

Enter your values

J
Formula symbol: W. Required unit: J. Must be greater than zero.
J
Formula symbol: Q. Required unit: J. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Work and heat input refer to the same cycle. Efficiency is a 0–1 fraction, not percent; these values do not validate a Carnot bound or a real machine.
Example result
Thermal efficiency fraction
0.25

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Use heat engine efficiency with the units stated beside the fields. This form solves for thermal efficiency fraction; enter the known quantities in Work magnitude, Transferred heat magnitude.

Inputs and units
Heat Engine Efficiency: Thermal efficiency fraction Calculator · Inputs and units
InputExample valueWhat to enter
Work magnitude75 JFormula symbol: W. Required unit: J. Must be greater than zero.
Transferred heat magnitude300 JFormula symbol: Q. Required unit: J. Must be greater than zero.
η = (1 × W × (Q)^(-1))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Work magnitude
75 J
Transferred heat magnitude
300 J

Complete example results

Thermal efficiency fraction
0.25

Reading the result

The result solves for thermal efficiency fraction from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the thermal efficiency fraction result?

This model uses positive magnitudes. Work and heat input refer to the same cycle. Efficiency is a 0–1 fraction, not percent; these values do not validate a Carnot bound or a real machine.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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