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]gt1,r_(3)gtr_(2)gtr_(1)`
B. `if[A]=1,r_(1)=r_(2)=r_(3)`
C. `if[A]lt1,r_(1)gtr_(2)gtr_(3)`
D. All of these

Answer

D

Explanation

Consider a reaction `ArarrB"products"`
`r_(1)=k[A]^(1)" for first order"`
`r_(2)=k[A]^(2)"for second order"`
`r_(3)=k[A]^(3)"for third order"`
`because "k is same all the three cases".`
`"If"[A]=1,r_(1)=r_(2)=r_(3)`
`"If"[A]lt1,r_(1)gtr_(2)gtr_(3)`
`"If"[A]gt1,r_(3)gtr_(2)gtr_(1)`