Free Rate Constant Calculator

Calculate the rate constant (k) at a given temperature from the activation energy and pre-exponential factor using the Arrhenius equation k = Ae^(-Ea/RT).

J/mol
K

Rate Constant (k)

17.1982

Rate Constant (k) vs Pre-exponential Factor (A)

Arrhenius Equation

Formula

k = A × e^(−Ea / RT)

Where:

  • k = rate constant
  • A = pre-exponential (frequency) factor
  • Ea = activation energy (J/mol)
  • R = 8.314 J/(mol·K)
  • T = temperature (K)
  • The rate constant increases exponentially with temperature and decreases with higher activation energy.

    Example Calculation

    A = 1 × 10¹⁰, Ea = 50,000 J/mol, T = 298 K.

    1. 01k = A × e^(-Ea/RT)
    2. 02k = 1×10¹⁰ × e^(-50000/(8.314×298))
    3. 03k = 1×10¹⁰ × e^(-20.18)
    4. 04k = 1×10¹⁰ × 1.71×10⁻⁹
    5. 05k = 17.1

    Frequently Asked Questions

    Learn More

    Understanding Molarity

    Learn what molarity is, how to calculate it, and why it matters in chemistry. Covers moles, liters, dilution, and step-by-step examples for preparing solutions.

    Related Calculators