QuestionApril 24, 2025

A student used 715 g of CaCl_(2) and 9.25 g of K_(2)CO_(3) to make CaCO_(3) The actual yield was 6.15 g of CaCO_(3) Calculate the limiting reagent. CaCl_(2)+K_(2)CO_(3)^a2KCl+CaCO_(3) 9.25 g of K_(2)CO_(3) 7.15 g mol of CaCl_(2) 6.15g CaCO_(3)

A student used 715 g of CaCl_(2) and 9.25 g of K_(2)CO_(3) to make CaCO_(3) The actual yield was 6.15 g of CaCO_(3) Calculate the limiting reagent. CaCl_(2)+K_(2)CO_(3)^a2KCl+CaCO_(3) 9.25 g of K_(2)CO_(3) 7.15 g mol of CaCl_(2) 6.15g CaCO_(3)
A student used 715 g of CaCl_(2) and 9.25 g of K_(2)CO_(3) to
make CaCO_(3) The actual yield was 6.15 g of CaCO_(3)
Calculate the limiting reagent.
CaCl_(2)+K_(2)CO_(3)^a2KCl+CaCO_(3)
9.25 g of K_(2)CO_(3)
7.15 g mol of CaCl_(2)
6.15g CaCO_(3)

Solution
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Answer

CaCl_2 is the limiting reagent. Explanation 1. Calculate moles of CaCl_2 Molar mass of CaCl_2 is 110.98 g/mol. Moles = \frac{7.15 \, \text{g}}{110.98 \, \text{g/mol}} = 0.0644 \, \text{mol}. 2. Calculate moles of K_2CO_3 Molar mass of K_2CO_3 is 138.21 g/mol. Moles = \frac{9.25 \, \text{g}}{138.21 \, \text{g/mol}} = 0.0669 \, \text{mol}. 3. Determine limiting reagent Reaction: CaCl_2 + K_2CO_3 \rightarrow 2KCl + CaCO_3. 1:1 mole ratio. Compare moles: CaCl_2 (0.0644 mol) vs K_2CO_3 (0.0669 mol). CaCl_2 has fewer moles.

Explanation

1. Calculate moles of $CaCl_2$<br /> Molar mass of $CaCl_2$ is 110.98 g/mol. Moles = $\frac{7.15 \, \text{g}}{110.98 \, \text{g/mol}} = 0.0644 \, \text{mol}$.<br />2. Calculate moles of $K_2CO_3$<br /> Molar mass of $K_2CO_3$ is 138.21 g/mol. Moles = $\frac{9.25 \, \text{g}}{138.21 \, \text{g/mol}} = 0.0669 \, \text{mol}$.<br />3. Determine limiting reagent<br /> Reaction: $CaCl_2 + K_2CO_3 \rightarrow 2KCl + CaCO_3$. 1:1 mole ratio. Compare moles: $CaCl_2$ (0.0644 mol) vs $K_2CO_3$ (0.0669 mol). $CaCl_2$ has fewer moles.
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