Consider the following reaction,
`2A + B + C rarr` Products
How will the rate of reaction changes when the concentration of A is doubled and that of B is triplet while C is taken in excess ?

Options

A. The rate reduces 8 times of its original value
B. The rate reduces 12 times of its original value
C. The rate increases 8 times of its original value
D. The rate increases 12 times of its original value

Answer

D

Explanation

`2A+B+Crarr"products"`
`r_(1)=k[A]^(2)[B]`
`[because"C is taken in excess, rate does not depend upon C"]`
`rArr" "r_(2)=12k[A]^(2)[B]`
`r_(2)=12k[A]^(2)[B]`
`(r_(2))/((r_(1)))=(12k[A]^(2)[B])/(k[A]^(2)[B])` `rArr" " r_(2)=12r_(1)`