Finely powdered bauxite (Al2O3) is heated with coke and N2 to 2000 K. Alumina forms aluminium nitride and silica is reduced to Si which is volatile. The hydrolysis of aluminium nitride gives aluminium hydroxide which on heating gives pure alumina.
Al2O3⋅2H2O+N2+3C2000K−−−−→2AlN+3CO↑+2H2O
SiO2+2C→Si↑+2CO↑
AlN+3H2O→Al(OH)3↓+NH3