The extraction of aluminum metal from the aluminum hydroxide in bauxite ore by the Hall-Héroult process is one of the most remarkable success stories of late 19th century practical chemistry, turning aluminum from a rare and precious metal into the cheap commodity it is today. In the first step, aluminum hydroxide reacts to form alumina and water:
2Al(OH)3 (s) --> Al2O3(s) +3H2O (g)
In the second step, alumina and carbon react to form aluminum and carbon dioxide:
2Al2O3(s)+3C(s) --> 4Al(s)+3CO2(g)
Write the net chemical equation for the production of aluminum from aluminum hydroxide and carbon. Be sure your equation is balanced.