Activation Energy Calculator

Find activation energy from two rate constants at two temperatures with the two-point Arrhenius equation.

100% FreeNo sign-upPrivate — runs in your browser
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Result

Activation energy
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In joules per mole
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Rate ratio k2/k1
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1/T1 - 1/T2
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How to use this tool

1
Enter the two rate constants

Enter k1 and k2 measured for the same reaction.

2
Enter the two temperatures

Enter T1 and T2 in kelvin or Celsius.

3
Read the activation energy

Read Ea in kJ/mol and J/mol.

4
Check the rate ratio

Check the rate ratio and the reciprocal-temperature difference for sense.

Formula & worked example

Ea = R x ln(k2/k1) / (1/T1 – 1/T2), with R = 8.314 J/(mol K) and temperatures in kelvin.

A rate that doubles from 300 K to 310 K implies an activation energy of about 53.6 kJ/mol.

Limitations — read this before you rely on it

Two-point estimate only: it assumes a single mechanism and constant Ea between the two temperatures, and it is sensitive to measurement error in k.

Frequently asked questions

One rate constant fixes only a combination of A and Ea; two points let Ea be separated from the pre-exponential factor.

Yes, the tool converts to kelvin; the equation itself requires absolute temperature.

That implies a negative apparent activation energy, which usually signals a changed mechanism or bad data, so the tool flags it.

Only approximately; over wide ranges the apparent Ea can drift, so keep the interval modest.

Any consistent rate-constant units, since only the ratio k2/k1 enters the formula.