SATHEE: Some Basic Concepts of Chemistry

Some Basic Concepts of Chemistry - Result Question 49

####49. The mass of carbon anode consumed (giving only carbon dioxide) in the production of $270 k g$ of aluminium metal from bauxite by the Hall process is (Atomic mass: $A l = 27$ ) [2005]

(a) $270 k g$

(b) $540 k g$

(d) $180 k g$

Show Answer

Solution:

Gram equivalent of $A l_{2} O_{3} \equiv$ g equivalent of $C$

Now equivalent weight of $A l = \frac{27}{3} = 9$

Equivalent weight of $C$

$= \frac{12}{4} = 3 (\overset{0}{C} \to \overset{+ 4}{C} O_{2})$

No. of gram equivalent of $A l = \frac{270 \times 10^{3}}{9}$

$= 30 \times 10^{3}$

Hence,

No. of gram equivalent of $C = 30 \times 10^{3}$ Again,

No. of gram equivalent of $C$

$= \frac{mass in gram}{gram equivalent weight}$

$\Rightarrow 30 \times 10^{3} = \frac{mass}{3}$

$\Rightarrow$ mass $= 90 \times 10^{3} g = 90 k g$

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Some Basic Concepts of Chemistry - Result Question 49

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