7. Antimony and lead form a simple eutectic phase diagram like those discussed in class. Antimony melts at 640.5°C and 1 bar, lead melts at 327.4°C and 1 bar. A eutectic point is observed at 80.5 mol% lead. a. What is the general definition for eutectic point? b. Roughly sketch the phase diagram at 1 bar, labeling the points described above for reference. Label each phase region and the eutectic point with the # of degrees of freedom (f). Show calculations explicitly using the phase rule. c. Sketch a cooling curve for a 10 mol% mixture of lead.
7. Antimony and lead form a simple eutectic phase diagram like those discussed in class. Antimony melts at 640.5°C and 1 bar, lead melts at 327.4°C and 1 bar. A eutectic point is observed at 80.5 mol% lead. a. What is the general definition for eutectic point? b. Roughly sketch the phase diagram at 1 bar, labeling the points described above for reference. Label each phase region and the eutectic point with the # of degrees of freedom (f). Show calculations explicitly using the phase rule. c. Sketch a cooling curve for a 10 mol% mixture of lead.
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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Transcribed Image Text:**Problem 7: Antimony and Lead Eutectic Phase Diagram**
Antimony and lead form a simple eutectic phase diagram similar to those discussed in class. Antimony melts at 640.5°C and 1 bar, and lead melts at 327.4°C and 1 bar. A eutectic point is observed at 80.5 mol% lead.
**Tasks:**
a. **What is the general definition for a eutectic point?**
b. **Roughly sketch the phase diagram at 1 bar, labeling the points described above for reference.** Label each phase region and the eutectic point with the number of degrees of freedom (f). Show calculations explicitly using the phase rule.
c. **Sketch a cooling curve for a 10 mol% mixture of lead.**
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**Instructions for solving:**
- **Eutectic Point Definition:** Understand the concept of a eutectic point, where the lowest melting point of a mixture occurs, forming a single liquid phase upon heating.
- **Phase Diagram Sketch:** Create a simple representation of the phase diagram at 1 bar. Indicate the melting points of pure antimony and lead, the eutectic composition, and the respective phases.
- **Degrees of Freedom (f):** Utilize the Gibbs Phase Rule (f = C - P + 2, where C is the number of components and P the number of phases) to determine the degrees of freedom at various points in the diagram.
- **Cooling Curve:** Illustrate the cooling behavior of a 10 mol% lead mixture, highlighting the phase transitions as the temperature decreases.
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