(a)
Tertiary halide preferentially undergo $S_{N}1$ substitution as they can give stable carbocation.
$\ \ \ \ \ \ \ \ \ \ \ \ CH_{3}$
|
$H_{3}C - C - Cl\underset{- Cl\ \ \ }{\overset{\ \ Slow\ \ \ \ }{\rightarrow}}\left( H_{3}C \right)_{3}C^{+}\underset{fast\ }{\overset{\ \ + OH^{-}\ \ \ }{\rightarrow}}\left( H_{3}C \right)_{3}COH$
| carbocation t-butyl alcohol
$\ \ \ \ \ \ \ \ \ \ \ \ CH_{3}$
t-butyl chloride