During the kinetic study of the reaction,
`2A+BtoC+D`, following results were obtained

Order of the reaction is

Options

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

Answer

A

Explanation

For order of A :
By run I & IV
[B] remains same but
[A] increases 4 times and rate of reaction also becomes 4 times
`:.` order w.r.t. A is 1
For order of B :
By Run II & III
[A] remains same but
[B] becomes 2 times and rate of reaction becomes 4 times
`:.` Order w.r.t. B is 2
`:.` Rate `=k[A]^(1)[B]^(2)`