Write equations for the steps in `S_(N)1` mechanism of conversion of tertiary butyl bromide into tertiary butyl alcohol.

Explanation

a) The mechanisminvolves the following two steps.
Step 1:
Formation of carbocation: t-butyl bromide undergoes ionization to form a t-butyl carbocation.

This step is the slowest stephence it is the rate determining step.
Step-2:
Attack of nucleophile on the carbocation : The nucleophile `OH^(-)` can attack the carbocation either from front side or back side to form t - butyl alcohol. The step is fast.

`therefore` Rate of the reaction is directly `alpha" [t - butyl bromide]"^(1)[OH-]^(0)`
`therefore"  Order = 1"`