Rate Constant Calculator

Calculate a reaction rate constant and half-life from concentration change over time for zero, first and second order reactions.

100% FreeNo sign-upPrivate — runs in your browser
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Result

Rate constant k
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Half-life
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Remaining fraction C/C0
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Reaction order
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Units of k
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How to use this tool

1
Enter initial and later concentrations

Use the same unit for both.

2
Enter the elapsed time

Use the time unit you want in k.

3
Choose the reaction order

If unsure, test which order gives a constant k.

4
Read k and half-life

Half-life formulas differ by order.

Formula & worked example

Zero: k = (C0 − C)/t. First: k = −ln(C/C0)/t. Second: k = (1/C − 1/C0)/t.

A first-order reaction falling from 100 to 50 in 10 time units has k = 0.0693 per time unit and a half-life of 10.

Limitations — read this before you rely on it

Single-time-point calculation; it cannot establish the reaction order on its own.

Frequently asked questions

They depend on order: concentration/time (zero), 1/time (first), 1/(concentration·time) (second).

No — check that k stays constant across several time points.

Only for first order. For zero and second order it depends on the starting concentration.

Any consistent unit; k’s unit follows from it.

That finds k from temperature and activation energy; this finds k from measured concentrations.