Write balanced chemical equations for the action of:

(1) Phosphorus trichloride on propan-2-ol
(2) Hydrogen bromide on styrene in the presence of a peroxide.
(3) Methyl bromide on silver propanoate.

(1) When propan -2-ol is treated with $PC{l}_3$, 2-chloropropane is obtained.

$\underset{Propan-2-ol}{3C{H}_3-\underset{OH}{\underset{|}{C}H}}-C{H}_3+\underset{Phosphorustrichloride}{PC{l}_3}\stackrel{\Delta }{\to }\underset{2-Chloropropane}{3C{H}_3-\underset{Cl}{\underset{|}{C}}H-C{H}_3}+H_{3}P{O}_3$

(2) When styrene is treated with HBr in the presence of peroxide, 1-Bromo-2-phenyl ethane is obtained.

(Ref. image)

(3) When methyl bromide is treated with sliver propanoate, methyl propanoate and silver bromide precipitate is obtained.

$\underset{sliverpropanotae}{H_{3}C-C{H}_2-\stackrel{O}{\stackrel{||}{C}}-Ag}+\underset{MethylBromide}{C{H}_{3}Br}\stackrel{\Delta }{\to }\underset{Methylpropanoate}{C{H}_3-C{H}_3-\stackrel{O}{\stackrel{||}{C}}-O-C{H}_3}+AgBr(\downarrow )$