A reaction between aluminium powder and anhydrous barium nitrate acts as the propellant in certain fireworks. The reaction forms the metal oxides and nitrogen. $10\text{Al} + 3\text{Ba(NO}_3\text{)}_2 \rightarrow 5\text{Al}_2\text{O}_3 + 3\text{BaO} + 3\text{N}_2$ What mass of barium oxide is formed when $5.40\,\text{g}$ of aluminium powder reacts with an excess of anhydrous barium nitrate?
- A$1.62\,\text{g}$
- B$3.06\,\text{g}$
- C$9.18\,\text{g}$
- D$10.2\,\text{g}$