Answer following questions in an alloy which contents 30 wt.% Ag at 800° C temperature by using following Cu-Ag phase diagram. a) Number of phases, b) Types of phases, c) Composition of phases, d) Amount(ratio) of phases. Composition (at% Ag

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
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### Understanding the Copper-Silver (Cu-Ag) Phase Diagram

Use the following Cu-Ag phase diagram to answer questions about an alloy containing 30 wt.% Ag at 800°C.

#### Questions:
a) **Number of Phases:**
   At 30 wt.% Ag and 800°C, determine the number of distinct phases present in the alloy.

b) **Types of Phases:**
   Identify the types of phases present at the given composition and temperature.

c) **Composition of Phases:**
   Specify the composition of each phase present at the given conditions.

d) **Amount (Ratio) of Phases:**
   Calculate the amount or ratio of each phase present in the alloy.

#### Cu-Ag Phase Diagram Interpretation:

**Phase Diagram Explanation:**

1. **Axes:**
    - The x-axis represents the composition of the alloy in weight percent of silver (Ag).
    - The y-axis represents the temperature in degrees Celsius (°C).

2. **Phases:**
    - The diagram is divided into regions that represent different phases or combinations of phases.
    - The labels (α, β, Liquid, α+L, β+L, α+β) indicate the phases or phase mixtures.

3. **Lines and Curves:**
    - The solid curves delineate the boundaries between different phases. 
    - The eutectic point is where the liquid phase transforms into two solid phases upon cooling.
    - The lines showing ‘L’, ‘α’, and ‘β’ indicate regions where liquid, alpha (Cu-rich solid solution), and beta (Ag-rich solid solution) phases exist, respectively.

In the diagram:
- At 30 wt.% Ag and a temperature of 800°C, the system falls within the 'α + L' (alpha phase and liquid phase) region.

**Graph details:**
- Vertical lines at different compositions marked with 'Ag' percentages (0%, 28.1%, 50%, 71.9%, 91.2%, and 100%).
- Horizontal isotherms that note significant temperatures such as the eutectic temperature (779°C).

##### Example Analysis:

To answer the questions in the context of an alloy with 30 wt.% Ag at 800°C:

a) **Number of phases:**
   - The alloy will have two phases.

b) **Types of phases:**
   - Alpha phase (Cu-rich solid solution) and Liquid phase
Transcribed Image Text:### Understanding the Copper-Silver (Cu-Ag) Phase Diagram Use the following Cu-Ag phase diagram to answer questions about an alloy containing 30 wt.% Ag at 800°C. #### Questions: a) **Number of Phases:** At 30 wt.% Ag and 800°C, determine the number of distinct phases present in the alloy. b) **Types of Phases:** Identify the types of phases present at the given composition and temperature. c) **Composition of Phases:** Specify the composition of each phase present at the given conditions. d) **Amount (Ratio) of Phases:** Calculate the amount or ratio of each phase present in the alloy. #### Cu-Ag Phase Diagram Interpretation: **Phase Diagram Explanation:** 1. **Axes:** - The x-axis represents the composition of the alloy in weight percent of silver (Ag). - The y-axis represents the temperature in degrees Celsius (°C). 2. **Phases:** - The diagram is divided into regions that represent different phases or combinations of phases. - The labels (α, β, Liquid, α+L, β+L, α+β) indicate the phases or phase mixtures. 3. **Lines and Curves:** - The solid curves delineate the boundaries between different phases. - The eutectic point is where the liquid phase transforms into two solid phases upon cooling. - The lines showing ‘L’, ‘α’, and ‘β’ indicate regions where liquid, alpha (Cu-rich solid solution), and beta (Ag-rich solid solution) phases exist, respectively. In the diagram: - At 30 wt.% Ag and a temperature of 800°C, the system falls within the 'α + L' (alpha phase and liquid phase) region. **Graph details:** - Vertical lines at different compositions marked with 'Ag' percentages (0%, 28.1%, 50%, 71.9%, 91.2%, and 100%). - Horizontal isotherms that note significant temperatures such as the eutectic temperature (779°C). ##### Example Analysis: To answer the questions in the context of an alloy with 30 wt.% Ag at 800°C: a) **Number of phases:** - The alloy will have two phases. b) **Types of phases:** - Alpha phase (Cu-rich solid solution) and Liquid phase
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