### Cu-Ag Phase DiagramThe Copper-Silver (Cu-Ag) phase diagram is a critical tool for understanding the phases present in Cu-Ag alloys at various compositions and temperatures. Here is a detailed explanation of the diagram:#### Axes:- **X-axis (Bottom):** Represents the composition in weight percent (wt% Ag) of Silver in the alloy, ranging from 0% (pure Copper) to 100% (pure Silver).- **X-axis (Top):** Represents the composition in atomic percent (at% Ag), also from 0% to 100% Silver.- **Y-axis (Left):** Represents the temperature in degrees Celsius (°C), ranging from about 200°C to 1200°C.- **Y-axis (Right):** Represents the temperature in degrees Fahrenheit (°F), ranging from about 400°F to 2200°F.#### Phases and Phase Regions:- **α (Alpha) Phase:** A solid solution of Silver in Copper. It is stable at lower temperatures and lower Silver concentrations.- **β (Beta) Phase:** A solid solution with higher Silver content, stable over a higher Silver concentration range and specific temperatures.- **Liquid Phase:** The region where the alloy is completely liquid.- **α + L (Alpha + Liquid):** A two-phase region where both solid α phase and liquid are present.- **β + L (Beta + Liquid):** A two-phase region of solid β phase and liquid.#### Key Features:- **Solidus Line:** The boundary below which the entire material is solid.- **Liquidus Line:** The boundary above which the material is completely liquid.- **Solvus Line:** The boundary below which a single solid phase exists.- **Eutectic Point (E):** The invariant point at 779°C (T_B) where both α and β phases coexist with the liquid. At this temperature, an alloy with 71.9 wt% Ag has minimum melting temperature.#### Labels:- **Point A, B, C, D, E, F, G, H:** Specific points indicating important compositions and temperatures in the diagram. - **Point C** represents a specific composition and temperature within the α + L region. - **Point E (779°C, C_E):** Eutectic composition with 71.9 wt% Ag.This diagram is fundamental for metallurgical processes, guiding the manufacture **Alloy Phase Identification**For an alloy with a composition of 50 wt% Ag at a temperature of 778.9°C, identify the following:a) **What Phases are present:** - Determine the phases detectable at this specific composition and temperature by referring to the phase diagram relevant to this alloy system.b) **The Composition of each Phase:** - Use the phase diagram to find the exact composition of each phase present in the alloy.c) **What Constituent(s) are present:** - Identify the constituents that form the microstructure at this particular temperature and composition.d) **The Composition of each Constituent:** - Analyze the microstructure to find the composition of each constituent present.

Given for a Cu-Ag phase wt% of Ag is 50% Temperature = 778.9 degree C Eutectoid Temperature = 779…

12) If you have an alloy with a composition of 50 wt% Ag at a temperature of 778.9° C, identify: a) What Phases are present b) The Composition of each Phase c) What Constituent(s) are present d) The Composition of each Constituent

12) If you have an alloy with a composition of 50 wt% Ag at a temperature of 778.9° C, identify: a) What Phases are present b) The Composition of each Phase c) What Constituent(s) are present d) The Composition of each Constituent

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

### Cu-Ag Phase Diagram

The Copper-Silver (Cu-Ag) phase diagram is a critical tool for understanding the phases present in Cu-Ag alloys at various compositions and temperatures. Here is a detailed explanation of the diagram:

#### Axes:
- **X-axis (Bottom):** Represents the composition in weight percent (wt% Ag) of Silver in the alloy, ranging from 0% (pure Copper) to 100% (pure Silver).
- **X-axis (Top):** Represents the composition in atomic percent (at% Ag), also from 0% to 100% Silver.
- **Y-axis (Left):** Represents the temperature in degrees Celsius (°C), ranging from about 200°C to 1200°C.
- **Y-axis (Right):** Represents the temperature in degrees Fahrenheit (°F), ranging from about 400°F to 2200°F.

#### Phases and Phase Regions:
- **α (Alpha) Phase:** A solid solution of Silver in Copper. It is stable at lower temperatures and lower Silver concentrations.
- **β (Beta) Phase:** A solid solution with higher Silver content, stable over a higher Silver concentration range and specific temperatures.
- **Liquid Phase:** The region where the alloy is completely liquid.
- **α + L (Alpha + Liquid):** A two-phase region where both solid α phase and liquid are present.
- **β + L (Beta + Liquid):** A two-phase region of solid β phase and liquid.

#### Key Features:
- **Solidus Line:** The boundary below which the entire material is solid.
- **Liquidus Line:** The boundary above which the material is completely liquid.
- **Solvus Line:** The boundary below which a single solid phase exists.
- **Eutectic Point (E):** The invariant point at 779°C (T_B) where both α and β phases coexist with the liquid. At this temperature, an alloy with 71.9 wt% Ag has minimum melting temperature.

#### Labels:
- **Point A, B, C, D, E, F, G, H:** Specific points indicating important compositions and temperatures in the diagram.
- **Point C** represents a specific composition and temperature within the α + L region.
- **Point E (779°C, C_E):** Eutectic composition with 71.9 wt% Ag.

This diagram is fundamental for metallurgical processes, guiding the manufacture

**Alloy Phase Identification**

For an alloy with a composition of 50 wt% Ag at a temperature of 778.9°C, identify the following:

a) **What Phases are present:**
- Determine the phases detectable at this specific composition and temperature by referring to the phase diagram relevant to this alloy system.

b) **The Composition of each Phase:**
- Use the phase diagram to find the exact composition of each phase present in the alloy.

c) **What Constituent(s) are present:**
- Identify the constituents that form the microstructure at this particular temperature and composition.

d) **The Composition of each Constituent:**
- Analyze the microstructure to find the composition of each constituent present.

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