(a)
In bauxite ore, only $Al_{2}O_{3}$ reacts with conc NaNO and fo sodium meta aluminate. This, further dissolves in water
$Al_{2}O_{3} + 2H_{2}O + 2NaOH\underset{35\ bar}{\overset{500\ K}{\rightarrow}}2NaAlO_{2} + 3H_{2}O$
$NaA{lO}_{2} + 2H_{2}O \rightarrow 2NaAl(OH))4\$