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Laws of Definite Proportions, Multiple Proportions

What weight o...

Question

What weight of $C a C O_{3}$ must be decomposed to produce the sufficient quantity of carbon dioxide to convert 21.2 kg of $N a_{2} C O_{3}$ completely into $N a H C O_{3}$ .
[Atomic mass $N a = 23$ , $C a = 40$ ]

$C a C O_{3} \to C a O + C O_{2}$
$N a_{2} C O_{3} + C O_{2} + H_{2} O \to 2 N a H C O_{3}$

100 kg

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20 kg

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120 kg

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30 kg

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Solution

The correct option is C 20 kg
$C a C O_{3} \to C a O + C O_{2}$ .
$100 - 56 \to 44$
$N a_{2} C O_{3} + C O_{2} + H_{2} O \to 2 N a H C O_{3}$
$106 + 18 + 44 \to 2 \times 84$
Now you have 21.2 kg so $21200 \times \frac{44}{106}$ .
= 8.8 kg of $C O_{2}$ needed.
From eq.1 $88000 \times \frac{100}{44}$ .
= $20 k g$ of $C a C O_{3}$ is needed.

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