Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter2: Chemical Compounds
Section: Chapter Questions
Problem 138QRT: An adult human body contains 6.0 L blood, which contains about 15.5 g hemoglobin per 100.0 mL blood....
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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.
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