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

B

Explanation

`r=k[A]^(a)[B]^(b)`
`4r=k[2A]^(a)[B]^(b)`
`8r=k[2A]^(a)[2B]^(b)`
`:. a=2,b=1`
`:.` rate `=k[A]^(2)[B]`.