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.

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
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**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.
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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