Question

Calculate the percentage of pure aluminium in 10 kg. of aluminium oxide [Al2O3] of 90% purity. [Al = 27, O = 16]

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Answer

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%

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