If you pursue a career in inorganic or physical chemistry, you may one day be studying the rate of the reaction of bromate ion with bromide ion. Suppose you conduct four experiments to discover how the initial rate of consumption of BrO₃^– ions varies as the concentrations of the reactants are changed in the reaction,

(a) Use the experimental data in the following table to determine the order of the reaction with respect to each reactant and the overall order.

(b) Write the rate law for the reaction and determine the value of k_r.

PLAN Suppose that the concentration of a substance A is increased but no other concentrations change. The generic rate law, Rate = k_r[A]^a[B]^b, tells you that as the concentration of A increases by the factor f, the rate increases by f^a. To isolate the effect of each substance, compare experiments that differ in the concentration of only one substance at a time.

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BrO3 (aq) + 5 Br¯ (aq) + 6 H3O+ (aq) 3 Br₂(aq) + 9 H₂O(1)