Arrhenius Equation Calculator

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kJ/mol
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02505007501000020406080100Temperature (°C)Your value

Rate constant (same units as A) vs Temperature (°C) — other inputs held at your current values.

How to use this calculator

Enter the pre-exponential factor, activation energy and temperature. The rate constant is calculated. The chart shows how sharply k rises with temperature.

Formula

k = A × e−Ea / (RT) (R = 8.314 J/mol·K)

Worked example

A = 1 × 10¹⁰ s⁻¹, Ea = 50 kJ/mol:

  • At 25 °C: k = 17.4 s⁻¹
  • At 35 °C: k = 33.5 s⁻¹ — about 1.92× faster

Why it matters

  • Food spoils more slowly in a fridge.
  • Industrial reactors are heated to speed up production.
  • Catalysts work by lowering Ea, raising k without extra heat.

Frequently asked questions

What does the Arrhenius equation show?

How the rate of a reaction increases with temperature, depending on the activation energy.

Is it true that reactions double every 10 °C?

Roughly, for activation energies around 50 kJ/mol near room temperature. It is a rule of thumb, not a law.

What units does k have?

The same as A, which depends on the reaction order (for example s⁻¹ for first-order reactions).

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