Reaction Half-Life Calculator

Find the half-life of a zero, first, or second order reaction from the rate constant and initial concentration, with the formula for each order. Free.

Frequently Asked Questions

Why is first-order half-life constant?

For a first-order reaction the half-life equals the natural log of two divided by the rate constant, with no concentration term, so it stays the same no matter how much reactant you start with.

How does reaction order change the half-life formula?

Zero-order half-life depends on initial concentration over twice the rate constant, first-order depends only on the rate constant, and second-order depends on one over the rate constant times the initial concentration.

What units does the half-life come out in?

The half-life is in whatever time unit your rate constant uses. If k is in per second, the half-life is in seconds. The rate constant units differ by order, so keep them consistent with your other values.

Is chemical reaction half-life the same as radioactive half-life?

They share the definition (the time for a quantity to fall by half) and the same formula, but only for first order. Radioactive decay is always first order, with t½ = ln(2)/λ where λ is the decay constant, which is the exact analogue of the first-order chemical case t½ = ln(2)/k and gives a constant half-life. Zero- and second-order chemical reactions have half-lives that change as the concentration drops, something that never happens in radioactive decay. So the 'half-life formula' you need depends on whether the process is first order.

Important Disclaimer: Estimates for informational purposes only.

This calculator provides estimates for informational purposes only. Results are based on assumptions and may not reflect actual outcomes. Consult qualified professionals in relevant fields before making important decisions based on these results.