For hypothetical chemical reaction `A rarr I`, it is found that the reaction is third order in `A`. What happens to the rate of reaction when the concentration of `A` is doubled?

Options

A. Rate increases by a factor of `2`.
B. Rate decreases by a factor of `3`.
C. Rate increases by a factor of `8`
D. Rate remains unaffected.

Answer

C

Explanation

`r_(1) = k[A]^(3)` …(i)
`r_(2) = k[2A]^(3)` …(ii)
Dividing Eq. (ii) by Eq. (i),
`r_(2) = 8r_(1)`