Write the chemical reactions for the following conversions:
$1.$ $1$-Bromopropane to Propan-$1$-ol and Propan-$2$-ol
$2.$ Ethanoic acid to Methanol

(N/A) $1.$ Conversion of $1$-Bromopropane to Propan-$1$-ol and Propan-$2$-ol:
First,$1$-bromopropane $(CH_3CH_2CH_2Br)$ is treated with alcoholic $KOH$ and heated to undergo dehydrohalogenation to form propene $(CH_3CH=CH_2)$.
To obtain Propan-$1$-ol,propene undergoes hydroboration-oxidation: $(i) (BH_3)_2, (ii) H_2O_2, OH^-$.
To obtain Propan-$2$-ol,propene undergoes acid-catalyzed hydration: $H_2SO_4, H_2O$.
$2.$ Conversion of Ethanoic acid to Methanol:
First,ethanoic acid $(CH_3COOH)$ is esterified with methanol $(CH_3OH)$ in the presence of $H^+$ to form methyl ethanoate $(CH_3COOCH_3)$.
Methyl ethanoate is then reduced using $LiAlH_4$ or $H_2/Pd$ to yield ethanol $(CH_3CH_2OH)$ and methanol $(CH_3OH)$.