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]
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]^(m)[B]^(n)`
wrt `B " " r 2^(n) n=1`
wrt `A notin B " " 2^(m)xx2^(1) m=2`