If rate constant is numerically the same for three reaction of first, second and third order respectively, then which of the following is correct?

Options

A. `if [A] =1`, then `r_(1) =r_(2) =r_(3)`
B. if `[A] lt 1` then `r_(1) gt r_(2) gt r_(3)`
C. if `[A] gt 1` then `r_(1) gt r_(2) gt r_(3)`
D. All of these

Answer

D

Explanation

`r_(1) = K[A]^(1)`
`r_(2)=K[A]^(2)`
`r_(3) = K[A]^(3)`
If `[A] gt 1, r_(3) gt r_(2) gt r_(1)`
If `[A] lt 1 r_(1) gt r_(2) gt r_(3)`
If `[A] =1, r_(1) = r_(2) =r_(3)`