Chemistry
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ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Transcribed Image Text:### Study Point Analysis: Lead-Tin Phase Diagram at 200°C
**Study Point A:**
- **Temperature:** 200°C (400°F)
- **Composition:** 40% Tin (Sn), 60% Lead (Pb)
**Questions:**
a. **Phases Present**
- Determine which phases are present at this specific temperature and composition.
b. **Complete Composition of Each Phase**
- Analyze each phase for its complete composition.
c. **Weight Amount of Each Phase**
- Calculate the weight amount of each phase present.
d. **Maximum Solubility of Lead into Tin**
- Identify the maximum solubility of lead in tin and at which temperature this occurs.
e. **Maximum Solubility of Tin into Lead**
- Determine the maximum solubility of tin in lead and at which temperature this occurs.
f. **Eutectic Reaction and Composition**
- Specify the complete eutectic reaction temperature and composition.
g. **Maximum Solubility of Tin into Lead at 200°F**
- Calculate the maximum solubility of tin in lead at 200°F.
h. **Volume Fraction of Each Phase**
- Calculate the volume fraction of each phase (\(\alpha\) and Liquid) with given densities:
- \(\rho_{Sn} = 7.24 \text{ gr/cm}^3\)
- \(\rho_{Pb} = 11.23 \text{ gr/cm}^3\)
### Diagram Explanation:
**Figure 9.8:**
- **Title:** The Lead-Tin Phase Diagram
- **Axes:**
- X-axis: Composition (wt% Sn, from 0 to 100)
- Y-axis: Temperature (°C, from 0 to 400)
- **Key Features:**
- The diagram denotes boundaries for various phases: \(\alpha\) + L (liquid), \(\alpha\), and \(\beta + L\).
- Eutectic point at approximately 183°C with a composition of about 61.9% Tin.
- Indicates solid-liquid transformation regions and solid-state solubility limits.
**Diagram Annotations:**
- **Point A:** Represents a condition with 40% Sn and 60% Pb at 200°C.
- **Temperature Lines:** Indicate phase transitions, especially the eutectic transformation.
This graphical
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To determine the phase present at the point A () -40 % tin and 60 Pb. Also the complete composition of each phase and the weight composition of each phase at the given point is needed to be determined.
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at 100C what is the maximum solubility (a) of Pb in Sn and (b) of Sn in Pb? The lead-tin phase diagram is shown in the animated figure
wt% Pb ?
wt% Sn ?
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Follow-up Question
at 100C what is the maximum solubility (a) of Pb in Sn and (b) of Sn in Pb? The lead-tin phase diagram is shown in the animated figure
wt% Pb ?
wt% Sn ?
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