Baeyer's process is used to concentrate bauxite ore to alumina. Give balanced chemical equations for the reaction taking place for it's conversion from bauxite to alumina.

Conversion of impure bauxite to sodium aluminate:

$\underset{\text{Amphoteric oxide}}{\underset{\text{[Impure bauxite]}}{\text{Al}$2\text{O}3.2\text{H}2\text{O }}} + \underset{\text{Base}}{\underset{\text{[conc. soln]}}{2\text{NaOH }}} \xrightarrow{150 - 200 \degree\text{C}} \underset{\text{Salt}}{\underset{\text{[sodium aluminate]}}{2\text{NaAlO}2}} + \underset{\text{Water}}{ \text{3H}_2\text{O}}

Conversion of sodium aluminate to aluminium hydroxide:

$\underset{\text{[sodium aluminate]}}{\text{NaAlO}$2} + 2\text{H}2\text{O} \xrightarrow{50 - 60 \degree\text{C}} \underset{\text{[sodium hydroxide]}}{\text{NaOH}} + \underset{\text{[aluminium hydroxide]}}{\text{Al(OH)}_3}

Conversion of Al(OH)₃ - to pure alumina - heat on Al(OH)₃:

$\underset{\text{[aluminium hydroxide]}}{\text{2Al(OH)}$3} \xrightarrow{1100\degree\text{C}} \underset{\text{[pure alumina]}}{\text{Al}2\text{O}3} + \text{3H}2\text{O}

Precipitated Al(OH)₃ is ignited to give pure alumina [Al₂O₃]