In the empty graph below, draw a phase diagram for a binary-eutectic alloy with the following characteristics: The melting temperature of component A is 1100°C The melting temperature of component B is 900°C The eutectic temperature of the alloy is 700°C The eutectic composition of the alloy is 60wt% B The solubility limit of B in a at the eutectic temperature is 20wt% B The solubility limit of A in B at the eutectic temperature is 10wt% A At 0°C no B is soluble in a and no A is soluble in B Indicate the solvus, solidus, and liquidus lines. Label the six phase fields: a, ß, a + B, a + L, B + L, and L. 1200 1100 1000 900 800 700 600 500 400 300 200 100 10 20 30 40 50 60 70 80 90 100 Composition (wt% B) Temperature (°C)
In the empty graph below, draw a phase diagram for a binary-eutectic alloy with the following characteristics: The melting temperature of component A is 1100°C The melting temperature of component B is 900°C The eutectic temperature of the alloy is 700°C The eutectic composition of the alloy is 60wt% B The solubility limit of B in a at the eutectic temperature is 20wt% B The solubility limit of A in B at the eutectic temperature is 10wt% A At 0°C no B is soluble in a and no A is soluble in B Indicate the solvus, solidus, and liquidus lines. Label the six phase fields: a, ß, a + B, a + L, B + L, and L. 1200 1100 1000 900 800 700 600 500 400 300 200 100 10 20 30 40 50 60 70 80 90 100 Composition (wt% B) Temperature (°C)
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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![**Binary-Eutectic Alloy Phase Diagram**
**Objective:**
To draw a phase diagram for a binary-eutectic alloy given specific characteristics.
**Characteristics:**
- The melting temperature of component A is 1100°C.
- The melting temperature of component B is 900°C.
- The eutectic temperature of the alloy is 700°C.
- The eutectic composition of the alloy is 60 wt% B.
- The solubility limit of B in α at the eutectic temperature is 20 wt% B.
- The solubility limit of A in β at the eutectic temperature is 10 wt% A.
- At 0°C, no B is soluble in α and no A is soluble in β.
**Instructions:**
1. Indicate the solvus, solidus, and liquidus lines.
2. Label the six phase fields: α, β, α + β, α + L, β + L, and L.
**Graph Explanation:**
The graph provided is a blank coordinate grid where the x-axis represents composition in weight percentage of component B (wt% B) ranging from 0 to 100 and the y-axis represents temperature in degrees Celsius (°C) ranging from 0 to 1200.
- **X-axis (Composition, wt% B):** Range: 0 - 100
- Major ticks: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
- **Y-axis (Temperature, °C):** Range: 0 - 1200
- Major ticks: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200
**How to Complete the Diagram:**
1. **Liquidus Line:** Starting from the melting point of pure A (1100°C at 0 wt% B), it slopes down to the eutectic point (700°C at 60 wt% B) and continues to the melting point of pure B (900°C at 100 wt% B).
2. **Solidus Line:** Starting at the eutectic point (700°C at 60 wt% B), one part slopes up to meet the solubility limit of B in α (700°C at 20 wt%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8a6f1e3b-9c39-4224-9682-34613cae85d1%2Fb8e5677c-caa0-4758-838c-bb08c7b4e032%2Fl09xc4.jpeg&w=3840&q=75)
Transcribed Image Text:**Binary-Eutectic Alloy Phase Diagram**
**Objective:**
To draw a phase diagram for a binary-eutectic alloy given specific characteristics.
**Characteristics:**
- The melting temperature of component A is 1100°C.
- The melting temperature of component B is 900°C.
- The eutectic temperature of the alloy is 700°C.
- The eutectic composition of the alloy is 60 wt% B.
- The solubility limit of B in α at the eutectic temperature is 20 wt% B.
- The solubility limit of A in β at the eutectic temperature is 10 wt% A.
- At 0°C, no B is soluble in α and no A is soluble in β.
**Instructions:**
1. Indicate the solvus, solidus, and liquidus lines.
2. Label the six phase fields: α, β, α + β, α + L, β + L, and L.
**Graph Explanation:**
The graph provided is a blank coordinate grid where the x-axis represents composition in weight percentage of component B (wt% B) ranging from 0 to 100 and the y-axis represents temperature in degrees Celsius (°C) ranging from 0 to 1200.
- **X-axis (Composition, wt% B):** Range: 0 - 100
- Major ticks: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100
- **Y-axis (Temperature, °C):** Range: 0 - 1200
- Major ticks: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200
**How to Complete the Diagram:**
1. **Liquidus Line:** Starting from the melting point of pure A (1100°C at 0 wt% B), it slopes down to the eutectic point (700°C at 60 wt% B) and continues to the melting point of pure B (900°C at 100 wt% B).
2. **Solidus Line:** Starting at the eutectic point (700°C at 60 wt% B), one part slopes up to meet the solubility limit of B in α (700°C at 20 wt%
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