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Chemical Kinetics & Catalysis

Integrated Rate Law

The equation obtained by integrating a differential rate law, giving concentration directly as a function of time.

Formula / equation varies with order
Unit mol/L

In depth

Integrated rate laws let the order be determined from a single experiment by finding which plot — concentration, its logarithm, or its reciprocal against time — gives a straight line. They also allow the concentration remaining at any future time to be predicted directly.

Examples in the real world

A linear ln[A] against t plot confirms first order and gives k directly from the gradient.