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 only 16.1 g of FeCl3 is obtained from 32.0 g of iron and excess Cl2, what is the percent yield? %

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### Iron and Chlorine Reaction: Percent Yield Calculation

**Problem Statement:**
Iron metal reacts with chlorine gas, giving iron(III) chloride. The balanced chemical equation for this reaction is:
\[ 2 \, \text{Fe} (s) + 3 \, \text{Cl}_2 (g) \rightarrow 2 \, \text{FeCl}_3 (s) \]

**Question:**
If only 16.1 g of FeCl\(_3\) is obtained from 32.0 g of iron and excess Cl\(_2\), what is the percent yield?

**Solution Framework:**

To calculate the percent yield, follow these steps:

1. **Determine the Molar Masses:**
   - Molar mass of Fe (iron): \( 55.85 \, \text{g/mol} \)
   - Molar mass of FeCl\(_3\):
     - Fe: \( 55.85 \, \text{g/mol} \)
     - Cl: \( 35.45 \, \text{g/mol} \) (since there are three Cl atoms, multiply by 3)

     Therefore, molar mass of FeCl\(_3\) = \( 55.85 + 3 \times 35.45 \)  
     = \( 55.85 + 106.35 \)  
     = \( 162.2 \, \text{g/mol} \)

2. **Calculate the Theoretical Yield:**
   - From the balanced equation: 
     \[ 2 \, \text{Fe} \rightarrow 2 \, \text{FeCl}_3 \]
     Therefore, the molar ratio of Fe to FeCl\(_3\) is 1:1.
   
   - Moles of Fe used:
     \[ \frac{32.0 \, \text{g Fe}}{55.85 \, \text{g/mol}} \approx 0.573 \, \text{mol Fe} \]

   - Since the molar ratio is 1:1, the moles of FeCl\(_3\) formed will also be \( 0.573 \, \text{mol} \).

   - Theoretical mass of FeCl\(_3\):
     \[ 0.573 \, \text{mol} \times
Transcribed Image Text:### Iron and Chlorine Reaction: Percent Yield Calculation **Problem Statement:** Iron metal reacts with chlorine gas, giving iron(III) chloride. The balanced chemical equation for this reaction is: \[ 2 \, \text{Fe} (s) + 3 \, \text{Cl}_2 (g) \rightarrow 2 \, \text{FeCl}_3 (s) \] **Question:** If only 16.1 g of FeCl\(_3\) is obtained from 32.0 g of iron and excess Cl\(_2\), what is the percent yield? **Solution Framework:** To calculate the percent yield, follow these steps: 1. **Determine the Molar Masses:** - Molar mass of Fe (iron): \( 55.85 \, \text{g/mol} \) - Molar mass of FeCl\(_3\): - Fe: \( 55.85 \, \text{g/mol} \) - Cl: \( 35.45 \, \text{g/mol} \) (since there are three Cl atoms, multiply by 3) Therefore, molar mass of FeCl\(_3\) = \( 55.85 + 3 \times 35.45 \) = \( 55.85 + 106.35 \) = \( 162.2 \, \text{g/mol} \) 2. **Calculate the Theoretical Yield:** - From the balanced equation: \[ 2 \, \text{Fe} \rightarrow 2 \, \text{FeCl}_3 \] Therefore, the molar ratio of Fe to FeCl\(_3\) is 1:1. - Moles of Fe used: \[ \frac{32.0 \, \text{g Fe}}{55.85 \, \text{g/mol}} \approx 0.573 \, \text{mol Fe} \] - Since the molar ratio is 1:1, the moles of FeCl\(_3\) formed will also be \( 0.573 \, \text{mol} \). - Theoretical mass of FeCl\(_3\): \[ 0.573 \, \text{mol} \times
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