Final answer:
The overall order of the reaction with the rate law Rate = k[Br⁻][BrO₃⁻][H⁺]² is 4, by summing the exponents in the rate law.
Step-by-step explanation:
The overall order of a chemical reaction can be determined by adding the exponents in the experimentally determined rate law equation. In the rate law for the given reaction, Rate = k[Br⁻][BrO₃⁻][H⁺]², the orders of reaction with respect to Br⁻, BrO₃⁻, and H⁺ are 1, 1, and 2, respectively. Therefore, the overall order of the reaction is the sum of these exponents: 1 (for Br⁻) + 1 (for BrO₃⁻) + 2 (for H⁺) = 4.