For a chemical reaction `A rarr B`, it is found that the rate of reaction doubles when the concentration of `A` is increased `4` times. What is the order of reaction ? Suggest the rate law also.

Options

A. `4`
B. `0`
C. `1//2`
D. `1`

Answer

C

Explanation

`r_(1) = k[A]^(n)` …(i)
`r_(2)=2r_(1) = k[4A]^(n)` …(ii)
Divide Eq. (ii) by, Eq. (i),
`(2)^(1) = (4)^(n) = (2)^(2n)`
`:. 2n = 1`
`n = (1)/(2)`