The rate constant is numerically same for three reactions of first second and third order respections of first second and third order respectively .Which of the following is true for the rate of these three reactions if concentration of the reactant is same and larger than 1 M ?

Options

A. `r_(1) = r_(2)=r_(3)`
B. `r_(1) lt r_(2) lt r_(3)`
C. `r_(1) gtr_(2) gt r_(3) `
D. no definte relation

Answer

B

Explanation

(B) `r_(1)=k_(1)[A] , r_(2) = k_(2)[A]^(2) , r_(3) =k_(3) [A]^(3)`
if `k_(1)= k_(2) = k_(3) ` and `[A] gt 1 M`
`r_(3) gt r_(2) gt r_(1)` or `r_(1)lt r_(2) lt r_(3)`