For the reaction `A + B` products, it is observed that:
(1) on doubling the initial concentration of `A` only, the rate of reaction is also doubled and
(2) on doubling te initial concentration of both `A` and `B`, there is a charge by a factor of `8` in the rate of the reaction.
The rate of this reaction is given by

Options

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

Answer

C

Explanation

Rate `=k[A][B]^(2)`
`=k[2A][2B]^(2)`
`=k xx 8[A][B]^(2)]`