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Chemistry · University

Half-life of a first-order reaction · formula reference

This formula applies to a first-order rate law and not generally to zero- or second-order reactions.

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Formula

This formula applies to a first-order rate law and not generally to zero- or second-order reactions.

t½ = ln 2/k

Worked example

A first-order reaction has k=0.6 min⁻¹. Find its half-life. Round the final result to 4 decimal places if needed. Answer in min.

Set the remaining fraction exp(−kt) to 1/2 and solve t=ln 2/k.

1.1552 min

Prerequisites and checking

Algebra and the topic definitions. Keep units and rounding consistent. State the model conditions before applying the formula.

Further reading and review references

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