Write the equations involved in the following reactions:
$(i)$ Reimer-Tiemann reaction
$(ii)$ Kolbe's reaction

(N/A) $(i)$ Reimer-Tiemann reaction:
Phenol reacts with chloroform $(CHCl_3)$ in the presence of aqueous sodium hydroxide $(NaOH)$ to form an intermediate,which upon further reaction with $NaOH$ and subsequent acidification $(H^+)$ yields salicylaldehyde.
$(ii)$ Kolbe's reaction:
Phenol reacts with sodium hydroxide $(NaOH)$ to form sodium phenoxide,which then reacts with carbon dioxide $(CO_2)$ at $400 \ K$ and $4-7 \ atm$ pressure to form sodium salicylate. This intermediate is then treated with dilute hydrochloric acid $(Dil. \ HCl)$ to produce $2$-hydroxybenzoic acid (salicylic acid).