(a) Explain `S_(N)1` mechanism for the conversion of tertiary butyl bromide to tertiary butyl alcohol.
(b) Complete the following reactions :
(i) `CH_(3) - CH = CH_(2) + HI rarr`
(ii)
(iii) `CH_(3)CH_(2)Br underset("Aq Ethanol")overset(AgCN)rarr`

Explanation

In this step, polarised C Br bond undergoes cleavage to produce a carbocation and a bromide ion.

In this step, carbocation is attacked by nucleophile to form the product (formation of C-OH bond).

(b) (i) `CH_(3) - CHI - CH_(3)`
(ii)
(iii) `CH_(3)CH_(2)NC`
(a) Conversion of tertiary butyl bromide to tertiary butyl alcohol using `SN^(1)` mechanism occurs as follows :
Step - 1 : Formation of carbocation :
`underset("(tertiary butyl bromide)")(CH_(3)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C) - Br) overset("slow step")rarr underset("(carbocation)")(CH_(3)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C^(+)))+Br^(-)`
Step - 2: Fast step and formation of racemic mixture of product :
`CH_(3)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C^(+)) + underset("(Nucleohile)")(OH^(-)) overset("fast")rarr underset("(tertiary butyl alcohol)")(CH_(3)-underset(CH_(3))underset(|)overset(CH_(3))overset(|)(C)-OH)`
(b) (i) This is an example of unimolecular nuclephile substitution reaction i.e. rate `prop` [substrate]
(b) (i) `CH_(3)-CH=CH_(2) + HI rarr CH_(3)-underset(I)underset(|)(CH) - CH_(3)`
(ii)
(iii) `CH_(3).CH_(2).Br underset("aq.thanol")overset(AgCN)rarr underset("(etyl isocynaide)")(CH_(3).CH_(2).NC)+AgBr`