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Arrhenius Rate Constant Calculator

Calculate a rate constant using the Arrhenius equation.

Arrhenius Rate Constant measurements

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How to calculate arrhenius rate constant

The Arrhenius equation describes how a chemical reaction's rate constant depends on temperature and activation energy — a foundational relationship in chemical kinetics.

How the calculation works

k = A × e^(−Ea/(R×T)), where A is the frequency factor, Ea is activation energy (in J/mol, so kJ/mol values are multiplied by 1000), R is the gas constant (8.314462618 J/(mol·K)), and T is temperature in Kelvin.

Example

A frequency factor of 1×10^13, activation energy of 75 kJ/mol, at 298 K (25°C): k = 1×10^13 × e^(−75,000/(8.314×298)) ≈ 1×10^13 × e^(−30.3) ≈ a very small rate constant, illustrating how sensitive reaction rates are to activation energy at room temperature.

Frequently asked questions

How is Result calculated?

Result = [Frequency factor] × exp( − [Activation energy] × 1000 ÷ (8.3145 × [Temperature])).

Is the Arrhenius Rate Constant Calculator free to use?

Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.

Quick Insight

Arrhenius Rate Constant Calculator

k = A × e^(−Ea/(R×T)), where A is the frequency factor, Ea is activation energy (in J/mol, so kJ/mol values are multiplied by 1000), R is the gas constant (8.314462618 J/(mol·K)), and T is temperature in Kelvin.

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Pro Tips for Arrhenius Rate Constant

  1. Temperature must be in Kelvin, not Celsius — forgetting to convert is one of the most common Arrhenius equation errors.
  2. Small changes in temperature can produce large changes in the rate constant due to the exponential relationship — this is why many reactions speed up dramatically with modest heating.

Common Arrhenius Rate Constant Mistakes to Avoid

  • Entering temperature in Celsius instead of converting to Kelvin (K = °C + 273.15), which produces a drastically incorrect result due to the exponential formula.

When to Use This Calculator

The Arrhenius equation describes how a chemical reaction's rate constant depends on temperature and activation energy — a foundational relationship in chemical kinetics.

Content reviewed: August 2026 · Robert Threadgill
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