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

Based on the above date which one of the following is correct ?

Options

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

Answer

D

Explanation

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