Final answer:
The rate law for the reaction where 2A+B produces C is determined experimentally and depends on the concentrations of both reactants, with the law being rate = k [A] [B]. This signifies a first-order dependence on each reactant and a second-order reaction overall.
Step-by-step explanation:
The question is focused on determining the rate law for a chemical reaction where the reactants A and B combine to form product C. Based on the description provided, we can conclude that the rate of the reaction is dependent on the concentrations of both reactants. Specifically, when the concentration of A is doubled, the reaction rate doubles, and the same is true for reactant B. Since the rate changes proportionally with changes in the concentrations of A and B, the rate law for this reaction is rate = k [A] [B], indicating the reaction is first order with respect to both reactants A and B, and second order overall.