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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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 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**.
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.
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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