Question

For the following reaction, it is found that doubling the amount of A causes the reaction rate to quadruple while doubling the amount of B causes the reaction rate to double. What is the best rate law equation for this reaction?

A + B yields 2C

rate = k[A]2[B]
rate = k[A][B]
rate = k[A][B]2
rate = k[A]1/2[B]

Answer 1

That doubling the amoun of A causes the rate to quadruple means that the rate is proportional to the square of the concentration of A, i.e. [A]^2

That doubling the amount of B causes the rate to double means that the rate is proportional to the concentration of B, i.e. [B]

Then, rate = k[A]^2 [B], which is the first option.