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Arrhenius Equation

Plot ln k against 1/T to visualise the Arrhenius equation. The gradient gives −Ea/R; see how activation energy affects the temperature dependence of rate.

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Parameters

Activation Energy Ea₁ (kJ/mol)

Activation Energy Ea₂ (kJ/mol)

Pre-exponential factor ln A

Key Concepts

• k = A·e^(−Ea/RT) — rate constant increases exponentially with temperature
• Taking ln: ln k = ln A − Ea/(RT) — a linear equation
• Plot ln k vs 1/T → straight line with slope = −Ea/R
• Steeper negative slope = higher activation energy (reaction more temperature-sensitive)
• Ea can be determined experimentally from the gradient: Ea = −slope × R

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