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Why can we not determine the order of a reaction by taking into consideration     the balanced chemical equation?

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As reactions can be multi-stepped, the rate of reaction is determined by slowest step

KClO_3+6FeSO_4+3H_2 SO_4\rightarrow KCl+3H_2 O+3Fe_2 (SO_4 )_3

Given the above equation, it may seem like a reaction with an order of ten, but in reality this is a second order reaction. Order is determined via experiments and expresses the dependence of the rate of reaction on the concentration of reactants.

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