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Chemical Kinetics & Catalysis

Instantaneous Rate

The rate of a reaction at one particular moment, given by the gradient of the concentration–time curve at that point.

Formula / equation rate = d[A]/dt
Unit mol/(L·s)

In depth

Instantaneous rate is found by drawing a tangent to the concentration–time graph or by differentiating a fitted equation. Its value at time zero, the initial rate, is especially useful because no products have yet accumulated to complicate the kinetics through reverse reaction.

Examples in the real world

Taking the tangent gradient at t = 30 s on a plot of reactant concentration against time.