⚡ Chemical Kinetics & Reaction Dynamics
Arrhenius Equation & Activation Energy Calculator
Compute reaction rate constants ($k$), solve for activation energy ($E_a$) between two temperatures, and model collision frequency factors ($A$).
Reaction Kinetic Inputs
kJ/mol
s⁻¹ or M⁻¹s⁻¹
Rate Constant (k)
1.73 × 10² s⁻¹
Activation Energy
50.0 kJ/mol
Absolute Temp
298.15 K
Rate Multiplier / 10°C
~1.95× Speedup
💡 Reaction Dynamics Insight:
The exponential Boltzmann term indicates that approximately 1 in 577 million collisions possesses sufficient kinetic energy to overcome the activation barrier.
The Arrhenius Equation
Svante Arrhenius established the relationship between temperature and chemical kinetics:
$$k = A e^{-\frac{E_a}{R T}} \iff \ln(k) = \ln(A) - \frac{E_a}{R}\left(\frac{1}{T}\right)$$
- Universal Gas Constant ($R$): $8.314462\text{ J}/(\text{mol}\cdot\text{K})$.
- Two-Temperature Form: $$\ln\left(\frac{k_2}{k_1}\right) = \frac{E_a}{R} \left(\frac{1}{T_1} - \frac{1}{T_2}\right) \implies E_a = \frac{R \ln(k_2 / k_1)}{\frac{1}{T_1} - \frac{1}{T_2}}$$