The average rate of a reaction is obtained by dividing the change in concentration of a reactant or product by the time interval over which the change occurs:
Average rate=change in timechange in concentration of a species=ΔtΔc
Consider the reaction A⟶B, in which A is consumed and B is produced. Because [A] decreases with time, the change Δ[A] is negative, and a minus sign is attached to make the rate itself a positive quantity:
average rate of consumption of A=−ΔtΔ[A]
average rate of formation of B=+ΔtΔ[B]
Therefore, average rate of reaction=−ΔtΔ[A]=+ΔtΔ[B] …