### Educational Exercise: Calculating Yield of Iron in a Chemical ReactionCombining 0.384 mol of $ \text{Fe}_2\text{O}_3 $ with excess carbon produced 16.5 g of Fe.\[ \text{Fe}_2\text{O}_3 + 3 \text{C} \rightarrow 2 \text{Fe} + 3 \text{CO} \]**1. What is the actual yield of iron in moles?**- **Actual yield:** [Input box] mol**2. What is the theoretical yield of iron in moles?**- **Theoretical yield:** [Input box] mol**3. What is the percent yield?**- **Percent yield:** [Input box] %This exercise involves understanding stoichiometry and calculating yields in chemical reactions. First, determine the moles of iron produced (actual yield) from the mass given. Next, use the stoichiometric ratios in the balanced equation to find the theoretical yield, which helps in calculating the percent yield to evaluate the reaction efficiency.

Answered: Macmillan Learning Combining 0.384 mol…

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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### Educational Exercise: Calculating Yield of Iron in a Chemical Reaction

Combining 0.384 mol of $ \text{Fe}_2\text{O}_3 $ with excess carbon produced 16.5 g of Fe.

\[ \text{Fe}_2\text{O}_3 + 3 \text{C} \rightarrow 2 \text{Fe} + 3 \text{CO} \]

**1. What is the actual yield of iron in moles?**

- **Actual yield:** [Input box] mol

**2. What is the theoretical yield of iron in moles?**

- **Theoretical yield:** [Input box] mol

**3. What is the percent yield?**

- **Percent yield:** [Input box] %

This exercise involves understanding stoichiometry and calculating yields in chemical reactions. First, determine the moles of iron produced (actual yield) from the mass given. Next, use the stoichiometric ratios in the balanced equation to find the theoretical yield, which helps in calculating the percent yield to evaluate the reaction efficiency.

Expert Solution

Step 1

Iron(III) oxide reacts with carbon to form iron metal and carbon dioxide gas. The equation for the balanced chemical reaction is as follows:

${Fe}_{2} O_{3} + 3 C \to 2 Fe + 3 CO$

The stoichiometry of the balanced chemical reaction states that one mole of iron(III) oxide reacts with three moles of carbon to form three moles of iron metal and three moles of carbon dioxide gas.

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