### Chemical Reactions and Stoichiometry: Example Problem#### Problem StatementIron metal reacts with chlorine gas to produce iron(III) chloride. The balanced chemical equation for this reaction is:\[ 2 \text{Fe}(s) + 3 \text{Cl}_2(g) \rightarrow 2 \text{FeCl}_3(s) \]#### QuestionIf 32.0 g of iron and 32.0 g of chlorine are combined, what is the theoretical yield of iron(III) chloride?\[ \boxed{\hspace{1cm}} \text{g} \]#### Solution Steps1. **Balanced Chemical Equation:** Given \(2 \text{Fe}(s) + 3 \text{Cl}_2(g) \rightarrow 2 \text{FeCl}_3(s)\), this indicates that 2 moles of iron react with 3 moles of chlorine gas to produce 2 moles of iron(III) chloride.2. **Molar Mass Calculation:** - Molar mass of Fe (iron) = 55.85 g/mol - Molar mass of \( \text{Cl}_2 \) (chlorine gas) = 2 * 35.45 g/mol = 70.90 g/mol - Molar mass of \( \text{FeCl}_3 \) (iron(III) chloride) = 55.85 g/mol + 3 * 35.45 g/mol = 162.20 g/mol3. **Determine Moles of Reactants:** - Moles of iron = \( \frac{32.0 \text{ g}}{55.85 \text{ g/mol}} \approx 0.573 \text{ moles}\) - Moles of chlorine = \( \frac{32.0 \text{ g}}{70.90 \text{ g/mol}} \approx 0.451 \text{ moles}\)4. **Determine the Limiting Reactant:** - According to the balanced equation, 2 moles of Fe react with 3 moles of \( \text{Cl}_2 \). - Therefore, for 0.573 moles of Fe, we would need \( 0.573 \times \frac{3}{2} = 0.860 \text{ moles} \) of Cl\(_

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d Iron metal reacts with chlorine gas giving iron(III) chloride. The balanced chemical equation for this reaction is: 2 Fe(s) + 3 Cl₂ (g) → 2 FeCl3 (s) If 32.0 g each of iron and chlorine are combined, what is the theoretical yield of iron(III) chloride? 9

d Iron metal reacts with chlorine gas giving iron(III) chloride. The balanced chemical equation for this reaction is: 2 Fe(s) + 3 Cl₂ (g) → 2 FeCl3 (s) If 32.0 g each of iron and chlorine are combined, what is the theoretical yield of iron(III) chloride? 9

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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