Mole Concept and Some Basic Concepts of ChemistrymediumMCQ SINGLE

What theoretical mass of Calcium carbonate () must be completely thermally decomposed to produce exaMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

What theoretical mass of Calcium carbonate ($CaCO_3$) must be completely thermally decomposed to produce exactly $56\text{ kg}$ of Calcium oxide ($CaO$)?

Answer: D

💡 Solution & Explanation

Step 1: Write the decomposition equation: $CaCO_3 \rightarrow CaO + CO_2$. Step 2: Convert product mass to moles. Mass of $CaO = 56\text{ kg} = 56000\text{ g}$. Molar mass of $CaO = 40 + 16 = 56\text{ g/mol}$. Moles of $CaO = 56000 / 56 = 1000\text{ moles}$. Step 3: Apply stoichiometry. $1\text{ mole}$ of $CaO$ requires $1\text{ mole}$ of $CaCO_3$. Moles of $CaCO_3$ needed = $1000\text{ moles}$. Step 4: Calculate mass of reactant. Molar mass of $CaCO_3 = 100\text{ g/mol}$. Mass = $1000 \times 100\text{ g} = 100000\text{ g} = 100\text{ kg}$.

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