Alumina, $A l_{2} O_{3},$ is amphoteric. Among examples of its amphoteric character are the reactions that occur when $\mathrm{Al}_{2} \mathrm{O}_{3}$ is heated strongly or "fused" with acidic oxides and basic oxides.
(a) Write a balanced equation for the reaction of alumina with silica, an acidic oxide, to give aluminum metasilicate, $\mathrm{Al}_{2}\left(\mathrm{SiO}_{3}\right)_{3}$
(b) Write a balanced equation for the reaction of alumina with the basic oxide CaO to give calcium aluminate, $\mathrm{Ca}\left(\mathrm{AlO}_{2}\right)_{2}$