of a sample of and is heated. The weight of the residue is . What is the percentage of in the mixtur — Mole Concept and Some Basic Concepts of Chemistry Chemistry Question
Question
$10 \text{ g}$ of a sample of $BaCO_3$ and $CaCO_3$ is heated. The weight of the residue is $6.15 \text{ g}$. What is the percentage of $CaCO_3$ in the mixture?
Answer: 50
💡 Solution & Explanation
Let $x$ be mass of $CaCO_3$. $\text{Loss} = 10 - 6.15 = 3.85 \text{ g } (CO_2)$. <br>$\text{moles } CO_2 = \frac{x}{100} + \frac{10-x}{197} = \frac{3.85}{44} = 0.0875$. <br>Solving for $x$: $1.97x + 1000 - 100x = 1723.75 \Rightarrow 0.97x \approx 4.85 \Rightarrow x \approx 5 \text{ g}$. <br>$\% = (5/10) \times 100 = 50\%$.
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