Calculateur de l'Équation de Nernst — Formule
## 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:
- **Ea** = activation energy (J/mol)
- **R** = 8.314 J/(mol·K)
- **k₁, k₂** = rate constants at temperatures T₁, T₂
- **T₁, T₂** = absolute temperatures (K)
### Formula
**ln(k₂/k₁) = -(Ea/R) × (1/T₂ - 1/T₁)**
Solving for Ea:
**Ea = -R × ln(k₂/k₁) / (1/T₂ - 1/T₁)**
Where:
- **Ea** = activation energy (J/mol)
- **R** = 8.314 J/(mol·K)
- **k₁, k₂** = rate constants at temperatures T₁, T₂
- **T₁, T₂** = absolute temperatures (K)
Exemple Résolu
A reaction has k₁ = 0.001 at 300 K and k₂ = 0.01 at 350 K.
- Ea = -R × ln(k₂/k₁) / (1/T₂ - 1/T₁)
- ln(0.01/0.001) = ln(10) = 2.3026
- 1/350 - 1/300 = 0.002857 - 0.003333 = -0.000476
- Ea = -8.314 × 2.3026 / (-0.000476)
- Ea = 40,200 J/mol = 40.2 kJ/mol