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Derive the expression for integrated rate law for zero-order reaction A → Products.

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Consider a zero order reaction, 

A → Products 

The rate of the reaction is,

By rate law,

Rate = k x [A]0 = k

∴ – d[A] = k x dt

If [A]0 is the initial concentration of the reactant A at t = 0 and [A]t is the concentration of A present after time t, then by integrating above equation,

This is the integrated rate law expression for rate constant for zero order reaction.

∴ k x t = [A]0 – [A]t

∴ [A]t = – kt + A0

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