Z @ ▶ 12. How many grams of iron (III) oxide must you use? OA. 61.5g OB. 122 g OC. 0.777 g OD. 686 g 2 Text-to-Speech You are asked to make 43.0 grams of iron (Fe) from iron III oxide (Fe.Os) and carbon monoxide (CO) as shown in the chemical equation below. Fe₂O3 + 3C0→2Fe + 3C0₂ W S X # 15 3 # E + 1. $ 4 Q Search R D F 15 40 % 5 T CV 6 b "d+ VI B & Y 7 GH lip Lo 11 * N U 8 J 19 144 9 K M fro Dl O O tn bbl P : { [ ? I F 10 10 10 10 1
Z @ ▶ 12. How many grams of iron (III) oxide must you use? OA. 61.5g OB. 122 g OC. 0.777 g OD. 686 g 2 Text-to-Speech You are asked to make 43.0 grams of iron (Fe) from iron III oxide (Fe.Os) and carbon monoxide (CO) as shown in the chemical equation below. Fe₂O3 + 3C0→2Fe + 3C0₂ W S X # 15 3 # E + 1. $ 4 Q Search R D F 15 40 % 5 T CV 6 b "d+ VI B & Y 7 GH lip Lo 11 * N U 8 J 19 144 9 K M fro Dl O O tn bbl P : { [ ? I F 10 10 10 10 1
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...
Related questions
Question
![### Chemistry Problem: Calculating the Mass of Iron(III) Oxide
**Question:**
You are asked to make 43.0 grams of iron (Fe) from iron III oxide (Fe₂O₃) and carbon monoxide (CO) as shown in the chemical equation below.
\[ \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2 \]
How many grams of iron (III) oxide (Fe₂O₃) must you use?
**Options:**
- A. 61.5 g
- B. 122 g
- C. 0.777 g
- D. 686 g
---
**Explanation:**
To determine the amount of Fe₂O₃ needed to produce 43.0 grams of Fe, follow these steps:
1. **Calculate the Molar Masses:**
- Molar mass of Fe (Iron) = 55.85 g/mol
- Molar mass of Fe₂O₃ (Iron III Oxide):
\[ \text{Fe}_2\text{O}_3 = (2 \times 55.85) + (3 \times 16.00) = 111.7 + 48.00 = 159.7 \text{ g/mol} \]
2. **Determine Moles of Fe Required:**
\[ \text{Moles of Fe} = \frac{\text{Mass of Fe}}{\text{Molar Mass of Fe}} = \frac{43.0 \text{ g}}{55.85 \text{ g/mol}} \approx 0.770 \text{ mol Fe} \]
3. **Use Stoichiometry to Find Moles of Fe₂O₃ Needed:**
According to the balanced equation, 1 mole of Fe₂O₃ produces 2 moles of Fe. Thus:
\[ \text{Moles of Fe}_2\text{O}_3 = \frac{\text{Moles of Fe}}{2} = \frac{0.770 \text{ mol}}{2} \approx 0.385 \text{ mol Fe}_2\text{O}_3 \]
4. **Calculate the Mass of Fe₂O₃ Required:**
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F590bcdfe-2834-4ce5-a4ca-671e0b630a2f%2Fc7e46ee9-3466-4635-a6de-7958f047c098%2F8cemks6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Chemistry Problem: Calculating the Mass of Iron(III) Oxide
**Question:**
You are asked to make 43.0 grams of iron (Fe) from iron III oxide (Fe₂O₃) and carbon monoxide (CO) as shown in the chemical equation below.
\[ \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2 \]
How many grams of iron (III) oxide (Fe₂O₃) must you use?
**Options:**
- A. 61.5 g
- B. 122 g
- C. 0.777 g
- D. 686 g
---
**Explanation:**
To determine the amount of Fe₂O₃ needed to produce 43.0 grams of Fe, follow these steps:
1. **Calculate the Molar Masses:**
- Molar mass of Fe (Iron) = 55.85 g/mol
- Molar mass of Fe₂O₃ (Iron III Oxide):
\[ \text{Fe}_2\text{O}_3 = (2 \times 55.85) + (3 \times 16.00) = 111.7 + 48.00 = 159.7 \text{ g/mol} \]
2. **Determine Moles of Fe Required:**
\[ \text{Moles of Fe} = \frac{\text{Mass of Fe}}{\text{Molar Mass of Fe}} = \frac{43.0 \text{ g}}{55.85 \text{ g/mol}} \approx 0.770 \text{ mol Fe} \]
3. **Use Stoichiometry to Find Moles of Fe₂O₃ Needed:**
According to the balanced equation, 1 mole of Fe₂O₃ produces 2 moles of Fe. Thus:
\[ \text{Moles of Fe}_2\text{O}_3 = \frac{\text{Moles of Fe}}{2} = \frac{0.770 \text{ mol}}{2} \approx 0.385 \text{ mol Fe}_2\text{O}_3 \]
4. **Calculate the Mass of Fe₂O₃ Required:**
\
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning

Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education

Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning

Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education

Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning

Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY