In a reaction , `A + B rarr` Product, rate is doubled when the concentration of `B` is doubled, and rate increases by a factor of `8` when the concentration of both the reactants (A and B) are doubled, rate law for the reaction can be written as

Options

A. Rate = `k[A][B]^(2)`
B. Rate = `k[A]^(2)[B]^(2)`
C. Rate = k[A][B]
D. Rate = `k[A]^(2)[B]`

Answer

D

Explanation

That means order of reaction with respect to B is 1 and w.r.t A is 2
Hence, Rate = `k[A]^(2)[B]^(1)`