$A$ metal $M$ forms an oxide with the formula $M_{2}O_{3}$. It dissolves in both dilute sulphuric acid and dilute sodium hydroxide solution. Identify the metal and write the chemical equations for the reactions involved.

(N/A) The metal is aluminium $(Al)$.
Aluminium oxide $(Al_{2}O_{3})$ is an amphoteric oxide,meaning it reacts with both acids and bases.
Reaction with dilute sulphuric acid:
$Al_{2}O_{3}(s) + 3H_{2}SO_{4}(aq) \longrightarrow Al_{2}(SO_{4})_{3}(aq) + 3H_{2}O(l)$
Reaction with dilute sodium hydroxide solution:
$Al_{2}O_{3}(s) + 2NaOH(aq) + 3H_{2}O(l) \longrightarrow 2Na[Al(OH)_{4}](aq)$ (Sodium aluminate)