A piece of aluminium foil of mass 5.40 g is dropped into an excess of sodium hydroxide solution…

A piece of aluminium foil of mass $5.40\ \text{g}$ is dropped into an excess of sodium hydroxide solution. The foil dissolves completely and hydrogen forms. Take the molar mass of aluminium as $26.98\ \text{g/mol}$, of sodium hydroxide as $40.00\ \text{g/mol}$ and of $\text{Na}[\text{Al}(\text{OH})_{4}]$ as $118.00\ \text{g/mol}$. The molar volume of a gas at $273\ \text{K}$ and $1\ \text{atm}$ is $22.4\ \text{L/mol}$. Find the volume of hydrogen, the mass of sodium tetrahydroxidoaluminate formed and the smallest mass of sodium hydroxide that is needed.