Repeat Problem 13.87 for a reaction that has the rate law

Rate = k[A][B]

Data from Problem 13.87

A reaction A + B → Product is run in a balloon. (Both A and B are gases.) The balloon has a volume of 1 L and is initially loaded with 1 mole of A and 1 mole of B. The reaction has the rate law Rate = k[A] The reaction is run again using the same amount of reactants, but this time in a balloon that has a volume of 0.5 L. How much faster will the reaction proceed in the smaller balloon? Explain your answer.