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Law of Reciprocal Proportions

Aluminium oxi...

Question

Aluminium oxide contains 52.9% aluminium and carbon dioxide contains 27.27% carbon. Assuming the validity of the law of reciprocal proportions, calculate the percentage of aluminium in aluminium carbide.

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Solution

In carbon dioxide mass ratio $= \frac{72.73}{27.27}$
In $A l_{4} C_{3} \to 4 \times A l + C \times 3$
$= 4 \times 27 + 12 \times 3 = 108 + 36 = 144$
Fraction of carbon $= \frac{108}{14} = 0.25$ =25%
Fraction of Aluminium $= \frac{108}{144} = 0.75$ =75%

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