90% of 10 kg = 9000 g
Molecular weight of aluminium oxide [Al2O3] = 2(27) + 3(16) = 54 + 48 = 102 g
102 g of aluminium oxide contains 54 g of aluminium
∴ 9000 g of aluminium oxide contains 54\over 102 × 9000
= 4764 g
= 4.764 kg of aluminium
∴ Percentage of pure Al in 10 kg. of aluminium oxide [Al2O3]
= 4.764\over 10 × 100
= 47.64%
Hence, percentage of pure aluminium in 10 kg. of aluminium oxide [Al2O3] of 90% purity is 47.64%