Chapter 124 of 2363 min read

Integrated rate equations and half-life

Why this is asked: First-order half-life (t½ = 0.693/k) doesn't depend on starting concentration — the signature fact used to identify first order from a data table. Zero-order half-life is the opposite: directly proportional to initial concentration (t½ = [A]₀/2k), and mixing up which order does which is the standard trap.

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Test yourself

•If the half-life ( $t_{1/2}$ ) for a first-order reaction is 1 minute, then the time required for 99.9% completion of the reaction is closest to:
•If the rate constant of a reaction is $0.03 s^{- 1}$ , how much time does it take for a $7.2 mol L^{- 1}$ concentration of the reactant to get reduced to $0.9 mol L^{- 1}$ ? (Given $lo g 2 = 0.301$ )

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