The mass of carbon anode consumed (giving the only carbon dioxide) in the production of $270 k g$ of aluminium metal from bauxite by the Hall process is:
[Atomic mass : $A l = 27$ ]

90 k g

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540 k g

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180 k g

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270 k g

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Solution

The correct option is B $90 k g$
The reaction is : $2 A l_{2} O_{3} + 3 C \to 4 A l + 3 C O_{2}$

Molar mass of aluminium is $27 g m o l^{- 1}$

Molar mass of carbon is $12 g m o l^{- 1}$

Carbon required is $\frac{12 \times 3 \times 270}{4 \times 27} = 90 K g$

Option A is correct.

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270 k g

A l = 27

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