the mass of carbon anode consumed in the production of 270 kg of aluminium metal from bauxite by the whole process is
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Bauxite is not directly used in Hall's process. It is first converted into alumina by Bayer's process.
Reaction of carbon with Al2O3 forming Aluminium and carbon dioxide is given :
2Al2O3 + 3C →4Al + 3CO2
Molar mass of Al = 27 g mol-1
Molar mass of Al2O3 = 118 g mol-1
Molar mass of Carbon = 12 g mol-1
Thus, we can see that according to this reaction, (4×27) = 108 g of Al is formed from the reduction of Al2O3 by (3×12) = 36 g of carbon.
108 g of Al produced by 36 g of Carbon
27000 g of Al is formed by (36 / 108) ×27000
= 90000 g or 90 kg (aaprox.)
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