Final answer:
The rate of reaction will increase by a factor of 25.00 if the concentration of B is increased by a factor of 5.00.
Step-by-step explanation:
The rate of reaction will increase by a factor of 25.00 if the concentration of B is increased by a factor of 5.00. According to the given rate law, Rate = k[A][B]², the rate of reaction is directly proportional to the square of the concentration of B. So, if the concentration of B is increased by a factor of 5.00, the rate of reaction will increase by a factor of (5.00)² = 25.00.