(a) Explain `SN^(1)` mechanism by taking tertiary butyl bromide as an example.
(b) What is Wurtz Fitting's reaction? Give an example.

Explanation

Mechanism involves 2steps.
(a) Step 1 t^(0) butyl bromide inoises to form tertiary butyl carbo catian.
`H_(3)C-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C)-Br overset(slow)to H_(3)C-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C^(+))+Br^(-)`
Step 2 The nucleophile `OH^(-)` attack on canbocation to form `t^(0)` butyl alcohol.
`H_(3)C-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C^(+))+OH^(-) overset(fast)to underset("Tertiary buty alcohol")(H_(3)C-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C)-OH)`.
(b)