(a)
In Hall’s process
$Al_{2}O_{3} \bullet 2H_{2}O + Na_{2}CO_{3}\ \longrightarrow 2NaAlO_{2} + \ CO_{2} + 2H_{2}O$
$2NaAlO_{2} + \ 3H_{2}O + CO_{2}\ \overset{333K\ }{\rightarrow}\ \ 2Al(OH)_{3} \downarrow + \ Na_{2}CO_{3}$
$2Al(OH)_{3}\ \overset{1473K\ }{\rightarrow}\ \ Al_{2}O_{3} + 3H_{2}O$