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Gay Lussac's Law

An impure sam...

Question

An impure sample of $5 g C a C O_{3}$ on thermal decomposition gives $30$ g of impure $C a O$ find the amount of pure sample.

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Solution

$C a C O_{3} \to C a O + C O_{2}$
$100$ $56$ $44$
Molar mass of $C a C O_{3} = 40 + 12 + 48 = 100 g$
$100 g$ gives $44 g$ of $C O_{2}$ & $56 g$ of $C a O$
$C a O \to 3 g$ is obtained from $\frac{3 \times 100}{56}$
$= 5.35 g$ of $C a C O_{3}$
Mass of impurities= $5.35 - 5.0 = 0.35$
Percentage of impurities= $\frac{0.35}{5} \times 100 = 7$ %

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