Describe the mechanism of alcohols reacting both as nucleophiles and as electrophiles in their reactions.

Write one chemical reaction each to illustrate the following : Williamson's synthesis.

Complete the following reactions:

${\left({\mathrm{CH}}_3\right)}_2\mathrm{CO}\stackrel{{\mathrm{LiAlH}}_4}{⟶}$

Complete the following reactions:

Write reactions and conditions for the following conversions:

$2$-propanone into $2$-methyl-$2$-propanol.

Write reactions and conditions for the following conversions:

n-propyl alcohol into hexane.

Write reactions and conditions for the following conversions: Ethanol to $1, 2$-dichloroethane.