Final answer:
If the concentration of A is increased 5 times, according to the second-order rate law (rate = k[A]^2), the rate of reaction will increase 25 times.
Step-by-step explanation:
The rate law given is rate = k[A]2. If the concentration of A is increased 5 times, the rate will increase by a factor equal to the square of the concentration increase. In this case, since concentration is increased 5 times, the rate will increase by 52, which is 25 times.
This outcome is because the rate law is second-order with respect to A, meaning the rate of the reaction is proportional to the square of the concentration of A (rate = k[A]2).