The mass of carbon anode consumed (giving only carbon dioxide) in the production of 270 ~kg of a aluminium metal from bauxite by the Hall process is: (Atomic mass : A1 = 27)

Correct answer: C. 90 ~kg 3 C+2 Al_2 O_3 4 Al+3 CO_2 (from bauxite) 4 moles of Al is produced by 3 moles of C 1 mole of Al is produced by (3)/(4) mole of C 10^4 moles of Al is produced by (3)/(4) × 10^4 moles of C Amount of carbon used aligned & =(3)/(4) × 10^4 × 12 ~g & =90000 ~g=90 ~kg aligned

NEET 2005

Exam: NEET
Year: 2005
Subject: Chemistry
Chapter: Some Basic Concepts of Chemistry

NEET 2005 · Chemistry · Some Basic Concepts of Chemistry

The mass of carbon anode consumed (giving only carbon dioxide) in...

The mass of carbon anode consumed (giving only carbon dioxide) in the production of

270 \mathrm{~kg}

of a aluminium metal from bauxite by the Hall process is: (Atomic mass : A1 = 27)

Options

A $270 \mathrm{~kg}$
B $540 \mathrm{~kg}$
C $90 \mathrm{~kg}$
D $180 \mathrm{~kg}$

Correct answer

C. $90 \mathrm{~kg}$

Step-by-step solution

3 \mathrm{C}+2 \mathrm{Al}_2 \mathrm{O}_3 \longrightarrow 4 \mathrm{Al}+3 \mathrm{CO}_2

(from bauxite) 4 moles of

\mathrm{Al}

is produced by 3 moles of

\mathrm{C}

1 mole of

\mathrm{Al}

is produced by

\frac{3}{4}

mole of

\mathrm{C} 10^4

moles of

\mathrm{Al}

is produced by

\frac{3}{4} \times 10^4

moles of

\mathrm{C}

Amount of carbon used

\begin{aligned} & =\frac{3}{4} \times 10^4 \times 12 \mathrm{~g} \\ & =90000 \mathrm{~g}=90 \mathrm{~kg} \end{aligned}

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