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Chemical Kinetics & Catalysis

Half-Life of a Reaction

The time required for the concentration of a reactant to fall to half its initial value.

Formula / equation t½ = 0.693 / k (first order)
Unit s

In depth

The way half-life depends on starting concentration identifies the order at a glance: it is constant for first order, proportional to concentration for zero order, and inversely proportional for second order. First-order half-lives are especially useful because they are independent of the amount present.

Examples in the real world

A first-order rate constant of 0.0347 min⁻¹ gives a half-life of 20 minutes at any starting concentration.