Free Activation Energy Calculator
Calculate the activation energy (Ea) of a reaction from rate constants at two different temperatures using the Arrhenius equation.
K
K
Activation Energy (Ea)
40,202 J/mol
Activation Energy40.20 kJ/mol
Arrhenius Equation for Activation Energy
Formula
ln(k₂/k₁) = -(Ea/R) × (1/T₂ - 1/T₁)
Solving for Ea: Ea = -R × ln(k₂/k₁) / (1/T₂ - 1/T₁)
Where:
Example Calculation
A reaction has k₁ = 0.001 at 300 K and k₂ = 0.01 at 350 K.
- 01Ea = -R × ln(k₂/k₁) / (1/T₂ - 1/T₁)
- 02ln(0.01/0.001) = ln(10) = 2.3026
- 031/350 - 1/300 = 0.002857 - 0.003333 = -0.000476
- 04Ea = -8.314 × 2.3026 / (-0.000476)
- 05Ea = 40,200 J/mol = 40.2 kJ/mol
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