The intermetallic phase in the Mg-Pb system is
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:The intermetallic phase in the Mg-Pb system is visualized in a phase diagram that plots temperature in degrees Celsius and Fahrenheit against the composition in weight percent of lead (Pb).
### Diagram Description
- **Axes:**
- The x-axis represents the composition in weight percent of lead (wt% Pb), ranging from 0% to 100%.
- The left y-axis shows the temperature in degrees Celsius (°C), ranging from 0°C to 700°C.
- The right y-axis displays the temperature in degrees Fahrenheit (°F), ranging from 0°F to 1200°F.
- **Phases:**
- The diagram displays several regions, each corresponding to different phases:
- **α** (alpha) phase, primarily magnesium (Mg-rich side).
- **L** is the liquid phase.
- **Mg₂Pb** is the intermetallic compound, marked prominently in red.
- Other regions labeled include α + L, α + Mg₂Pb, L + Mg₂Pb, β, β + L, and β + Mg₂Pb.
- **Key Points:**
- **Red Line**: A vertical red line highlights the composition where the intermetallic phase Mg₂Pb occurs, around 80 wt% Pb.
- **Phase Boundaries**: Lines separate regions where different phases coexist, showing the temperature and composition domains for each phase.
### Question:
What is the intermetallic phase in the Mg-Pb system?
- Options:
- impossible to know from information given
- beta
- Mg₂Pb
- alpha
Based on the diagram, the intermetallic phase highlighted is **Mg₂Pb**.

Transcribed Image Text:The image presents a phase diagram for a lead-tin (Pb-Sn) alloy. The y-axis is labeled "Temperature °C" ranging from 0 to 350°C. The x-axis shows "Weight Percent Tin" from 0 to 100%, with corresponding "Atomic Percent Tin" at the top.
Key points on the diagram:
1. **Phases**:
- **α (alpha)**: Solid solution of tin in lead.
- **β (beta)**: Solid solution of lead in tin.
- **L (liquid)**: Liquid phase.
2. **Regions**:
- **α + L**: Contains both solid α and liquid phases.
- **α + β**: Mixture of both solid α and β phases.
- **β + L**: Contains both solid β and liquid phases.
- The chart identifies specific boundaries of these phases.
3. **Critical Temperatures & Compositions**:
- At the top left, the diagram notes a close temperature near 327.502°C, related to the pure melting point of tin.
- The eutectic point at around 18.3 wt% tin and 183°C marks where α and β coexist with a minimum melting point.
- Just before 100% on the weight percent tin, a temperature of 281.988°C is noted, indicating a phase transition point.
**Questions:**
- Identify phases present in an 80 wt% Sn-20 wt% Pb alloy at different temperatures:
- At **300°C**: This composition lies in the liquid phase region "L" as the diagram shows above the liquidus line.
- At **200°C**: This composition is in the "β + L" region, indicating coexistence of β and a liquid phase.
- At **100°C**: The phase is within the "β" region, showing it is a solid solution of lead in tin at this temperature.
The interactive element allows selection of the correct phase(s) for a specific temperature, aiding in understanding phase changes for a particular alloy composition.
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