Arrhenius Equation Calculator

Calculate Temperature Effects on Reaction Rates

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Activation Energy Calculator

Calculate activation energy using rate constants at different temperatures

Activation Energy: - kJ/mol

Rate Constant Calculator

Calculate rate constant at a new temperature

New Rate Constant: -

Pre-exponential Factor Calculator

Calculate the pre-exponential factor A

Pre-exponential Factor: -

Understanding the Arrhenius Equation

The Arrhenius Equation

The Arrhenius equation describes how the rate constant of a chemical reaction depends on temperature:

k = A·e^(-Ea/RT)

where k is the rate constant, A is the pre-exponential factor, Ea is activation energy, R is the gas constant, and T is temperature

Activation Energy (Ea)

Activation energy represents the minimum energy required for a reaction to occur. It can be calculated using:

ln(k₂/k₁) = -(Ea/R)(1/T₂ - 1/T₁)

Pre-exponential Factor (A)

The pre-exponential factor represents:

  • Frequency of molecular collisions
  • Orientation requirements
  • Entropy changes

Temperature Effects

Key points about temperature dependence:

  • Higher temperature increases rate constant
  • Relationship is exponential
  • Effect is more pronounced for reactions with higher Ea

Applications

The Arrhenius equation is used in:

  • Reaction kinetics studies
  • Process optimization
  • Shelf-life predictions
  • Chemical engineering design

Essential Arrhenius Equation Formulas

Basic Equation

k = A·e^(-Ea/RT)

Logarithmic Form

ln(k) = ln(A) - Ea/RT

Two-Point Form

ln(k₂/k₁) = -(Ea/R)(1/T₂ - 1/T₁)