For a reaction that follows the general rate law, Rate = k[A][B]2, what will happen to the rate of reaction if the concentration of A is increased by a factor of 5.00?4

The rate will increase by a factor of 5.00 too.

Explanation:

Hello,

In this case, given the rate law:

Thus, we can notice it is first-order respect to A, for that reason, increasing its concentration by a factor of 5.00, increase the rate by a factor of 5.00 as well.

Moreover, if the concentration of B is increased by the same factor, the rate will increase by a factor of 25.00, since the rate is second-order respect to B (it is squared).

Best regards.