Write a balanced chemical equation for the reaction that is described and then classify the reaction as
a substitution, an elimination, an addition, or a rearrangement reaction.
(a) 3,3 -dimethylbut-1-ene reacts in acid solution to yield 2,3-dimethylbut-2-ene.
(b) 1 -iodo-2,2-dimethylpropane reacts with water to produce, 2,2 -dimethylpropan- $1-$ ol, and $\mathrm{HI}(\text { aq })$.
(c) 2 -chloro- 2 -methylpropane reacts with $\mathrm{NaOH}(\mathrm{aq})$ to give 2 -methylprop-1-ene, sodium chloride, and water.