Calculadora de Energia de Ativação
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
Ea = R·ln(k₂/k₁) / (1/T₁ − 1/T₂)
About this calculator
The Activation Energy Calculator determines the minimum energy required for a chemical reaction to occur, using the Arrhenius equation with data from two different temperatures. The formula relates the rate constants (k₁ and k₂) at absolute temperatures T₁ and T₂, considering the gas constant R. The result is expressed in joules per mole (J/mol) or kilojoules per mole (kJ/mol).
To use the calculator, enter the values of the rate constants and the corresponding temperatures in Kelvin. The tool applies the equation Ea = R × ln(k₂/k₁) / (1/T₁ − 1/T₂), where R = 8.314 J/(mol·K). Ensure that temperatures are in Kelvin (K = °C + 273.15) and that the rate constants have the same units.
This calculator is useful for chemists and students who need to estimate the energy barrier of reactions from experimental data. For example, by varying the temperature of an experiment, you can calculate the activation energy to understand the reaction's sensitivity to temperature. It is also applied in enzyme kinetics and studies of material degradation.
Important precautions: rate constants must be measured under the same conditions (except temperature). The equation assumes that the activation energy is constant over the temperature range considered. For accurate results, use temperatures with a significant difference (at least 10 K) and avoid very close k values, which can lead to numerical errors.
Frequently asked questions
Do I need to convert temperature to Kelvin?
Yes, the Arrhenius equation requires absolute temperature in Kelvin. Convert Celsius by adding 273.15.
What if I only have one temperature and rate constant?
With only one point, it is not possible to calculate the activation energy. Two pairs (T, k) are needed to determine the slope of the Arrhenius plot.
Does the calculator work for zero-order reactions?
Yes, as long as the rate constants are provided in the same units. The equation is independent of reaction order.
What is the unit of activation energy?
The result is given in J/mol or kJ/mol. The calculator uses R in J/(mol·K), so the value comes out in J/mol.
Can I use temperatures in Celsius directly?
No, the equation uses Kelvin. If you enter Celsius, the result will be incorrect. Always convert to Kelvin first.