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Q10 Rate Change per Ten Degrees

Calculate the Q10 temperature coefficient from two positive rates at different temperatures, with reversible rate and temperature solving.

  • Formula & worked example
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

A rate increasing from 2 to 8 between 10°C and 30°C has Q10 = (8/2)^(10/20) = 2.

Q10 = (rate at T₂ / rate at T₁)^[10 / (T₂ − T₁)], using a Celsius or kelvin temperature difference

Worked example

Enter these known values and leave the other values blank.

Lower measurement temperature T₁
10 °C
Higher measurement temperature T₂
30 °C
Positive rate at T₁
2
Positive rate at T₂
8
Rate factor per 10°C increase
2

Assumptions and limitations

  • Both temperatures must exceed absolute zero, and T₂ must be higher than T₁. Zero and negative Celsius temperatures are valid within that bound.
  • Use positive rates with identical units and a consistent measurement basis. Temperature selectors convert before the Celsius-scale difference is formed.
  • Q10 is a ratio over a 10°C interval, not a percentage. A value below 1 indicates decreasing rate with increasing temperature; 1 indicates equal rates.
  • The coefficient describes the entered interval. Using it outside that interval assumes a constant Q10 relationship that may not hold for the process.
  • Equal rates give Q10 = 1 for a specified nonzero temperature interval, but they cannot uniquely determine a missing temperature from Q10 = 1.

Common questions

Does a 10°F increase mean the same as a 10°C increase?

No. Ten Celsius degrees equal eighteen Fahrenheit degrees. This coefficient always refers to a 10°C change. This tool accepts Celsius and kelvin inputs.

References

Bookify uses the real positive Q10 inverse branches and an equivalent rate-form consistency equation that remains defined at Q10 = 1 when both temperatures are supplied. Bookify accepts zero and negative Celsius temperatures above absolute zero, preserving the higher-second-temperature and positive-rate requirements.

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