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
Chapter3: Stoichiometry
Section: Chapter Questions
Problem 27Q: If you had a mole of U.S. dollar bills and equally distributed the money to all of the people of the...
Related questions
Question
![**Text Transcription:**
Calculate the composition, in weight percent, of an alloy that contains 105 kg of iron, 0.2 kg of carbon, and 1.0 kg of chromium.
**Explanation for an Educational Website:**
To find the weight percent composition of each element in the alloy, follow these steps:
1. **Calculate the Total Weight of the Alloy:**
- Iron: 105 kg
- Carbon: 0.2 kg
- Chromium: 1.0 kg
Total weight = 105 kg + 0.2 kg + 1.0 kg = 106.2 kg
2. **Calculate the Weight Percent of Each Element:**
- **Iron:**
\[
\text{Weight percent of Iron} = \left( \frac{105 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 98.87\%
\]
- **Carbon:**
\[
\text{Weight percent of Carbon} = \left( \frac{0.2 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 0.19\%
\]
- **Chromium:**
\[
\text{Weight percent of Chromium} = \left( \frac{1.0 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 0.94\%
\]
3. **Conclusion:**
- The alloy is composed of approximately 98.87% iron, 0.19% carbon, and 0.94% chromium by weight.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb520c17-8305-428a-b4d1-cb4273cbb5b6%2Fa0e87b76-bd3e-4a3f-94c5-575beba6cec5%2Fwqmy6ld_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Text Transcription:**
Calculate the composition, in weight percent, of an alloy that contains 105 kg of iron, 0.2 kg of carbon, and 1.0 kg of chromium.
**Explanation for an Educational Website:**
To find the weight percent composition of each element in the alloy, follow these steps:
1. **Calculate the Total Weight of the Alloy:**
- Iron: 105 kg
- Carbon: 0.2 kg
- Chromium: 1.0 kg
Total weight = 105 kg + 0.2 kg + 1.0 kg = 106.2 kg
2. **Calculate the Weight Percent of Each Element:**
- **Iron:**
\[
\text{Weight percent of Iron} = \left( \frac{105 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 98.87\%
\]
- **Carbon:**
\[
\text{Weight percent of Carbon} = \left( \frac{0.2 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 0.19\%
\]
- **Chromium:**
\[
\text{Weight percent of Chromium} = \left( \frac{1.0 \, \text{kg}}{106.2 \, \text{kg}} \right) \times 100 = 0.94\%
\]
3. **Conclusion:**
- The alloy is composed of approximately 98.87% iron, 0.19% carbon, and 0.94% chromium by weight.
Expert Solution

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

Recommended textbooks for you

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

Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning


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

Chemistry: An Atoms First Approach
Chemistry
ISBN:
9781305079243
Author:
Steven S. Zumdahl, Susan A. Zumdahl
Publisher:
Cengage Learning


Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning

Living By Chemistry: First Edition Textbook
Chemistry
ISBN:
9781559539418
Author:
Angelica Stacy
Publisher:
MAC HIGHER

World of Chemistry, 3rd edition
Chemistry
ISBN:
9781133109655
Author:
Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:
Brooks / Cole / Cengage Learning