For a copper-silver alloy of composition 9.7 wt% Ag-90.3 wt% Cu and at 775°C (1425°F) (see Animated Figure 9.7) do the following:(a) Determine the mass fractions of α and β phases.- Mass fraction α = [Input box]- Mass fraction β = [Input box](b) Determine the mass fractions of primary α and eutectic microconstituents.- Mass fraction α primary = [Input box]- Mass fraction eutectic = [Input box](c) Determine the mass fraction of eutectic α.- Mass fraction α eutectic = [Input box] This exercise involves phase analysis of a copper-silver alloy, requiring determining the mass distribution among different phases and microconstituents at a specified temperature. Use Animated Figure 9.7 for guidance on the phase diagram. ### Phase Diagram Explanation for Copper-Silver Alloy System#### Temperature and Composition Axes- **X-axis (Horizontal):** Composition of Silver (Ag) is presented in atomic percent (at% Ag) on the top scale and in weight percent (wt% Ag) on the bottom scale, ranging from 0 to 100.- **Y-axis (Vertical):** Temperature is presented on the left side in degrees Celsius (°C) and on the right side in degrees Fahrenheit (°F), ranging from 200°C (392°F) to 1200°C (2200°F).#### Key Features and Lines- **Solidus Line:** This line separates the solid phase (α or β) from the mixture of solid and liquid phases (α + L or β + L).- **Liquidus Line:** This line defines the boundary between the liquid phase and the mixture of solid and liquid phases.- **Solvus Line:** It separates the α solid solution region from the α + β region at lower temperatures.#### Specific Points and Temperatures- **B Point (α + L):** Located at 779°C (T_E) with an 8.0 atomic percentage of Ag (C_αE).- **E Point:** Represents a composition of 71.9% Ag where the liquid phase transforms to a mixture of β and liquid phases.- **G Point:** At 91.2% Ag, denoting the transition point for β phase presence.- **F Point:** Shows a temperature of 232°C, significant for the transformation of phases.- **A, C, H Points:** Represent extremes or beginning points of phases.#### Notations and Phases- **α Phase:** A solid solution rich in Copper (Cu).- **β Phase:** A solid solution rich in Silver (Ag).- **α + β:** Denotes a region where both α and β phases coexist.- **Liquid:** Denotes the presence of only liquid phase where both elements are fully melted.#### Conditions- The external notation highlights specific conditions: - Composition = 0 at% Ag - Composition = 0 wt% Ag - Temperature = 200°C - Temperature = 392°FThis phase diagram is crucial for understanding the solidification and melting characteristics of copper-silver alloys, as well as designing materials with desired mechanical and thermal properties for industrial applications.

Answered: Image /qna-images/answer/33da4061-cfe7-4baf-8ee6-63b0acc7f485.jpg

For a copper-silver alloy of composition 9.7 wt% Ag-90.3 wt% Cu and at 775°C (1425°F) (see Animated Figure 9.7) do the following: (a) Determine the mass fractions of a and phases. Mass fraction a = i Mass fraction = i (b) Determine the mass fractions of primary a and eutectic microconstituents. Mass fraction a primary = i Mass fraction eutectic = (c) Determine the mass fraction of eutectic a. Mass fraction a eutectic = i

For a copper-silver alloy of composition 9.7 wt% Ag-90.3 wt% Cu and at 775°C (1425°F) (see Animated Figure 9.7) do the following: (a) Determine the mass fractions of a and phases. Mass fraction a = i Mass fraction = i (b) Determine the mass fractions of primary a and eutectic microconstituents. Mass fraction a primary = i Mass fraction eutectic = (c) Determine the mass fraction of eutectic a. Mass fraction a eutectic = i

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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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

For a copper-silver alloy of composition 9.7 wt% Ag-90.3 wt% Cu and at 775°C (1425°F) (see Animated Figure 9.7) do the following:

(a) Determine the mass fractions of α and β phases.
- Mass fraction α = [Input box]
- Mass fraction β = [Input box]

(b) Determine the mass fractions of primary α and eutectic microconstituents.
- Mass fraction α primary = [Input box]
- Mass fraction eutectic = [Input box]

(c) Determine the mass fraction of eutectic α.
- Mass fraction α eutectic = [Input box]

This exercise involves phase analysis of a copper-silver alloy, requiring determining the mass distribution among different phases and microconstituents at a specified temperature. Use Animated Figure 9.7 for guidance on the phase diagram.

### Phase Diagram Explanation for Copper-Silver Alloy System

#### Temperature and Composition Axes
- **X-axis (Horizontal):** Composition of Silver (Ag) is presented in atomic percent (at% Ag) on the top scale and in weight percent (wt% Ag) on the bottom scale, ranging from 0 to 100.
- **Y-axis (Vertical):** Temperature is presented on the left side in degrees Celsius (°C) and on the right side in degrees Fahrenheit (°F), ranging from 200°C (392°F) to 1200°C (2200°F).

#### Key Features and Lines
- **Solidus Line:** This line separates the solid phase (α or β) from the mixture of solid and liquid phases (α + L or β + L).
- **Liquidus Line:** This line defines the boundary between the liquid phase and the mixture of solid and liquid phases.
- **Solvus Line:** It separates the α solid solution region from the α + β region at lower temperatures.

#### Specific Points and Temperatures
- **B Point (α + L):** Located at 779°C (T_E) with an 8.0 atomic percentage of Ag (C_αE).
- **E Point:** Represents a composition of 71.9% Ag where the liquid phase transforms to a mixture of β and liquid phases.
- **G Point:** At 91.2% Ag, denoting the transition point for β phase presence.
- **F Point:** Shows a temperature of 232°C, significant for the transformation of phases.
- **A, C, H Points:** Represent extremes or beginning points of phases.

#### Notations and Phases
- **α Phase:** A solid solution rich in Copper (Cu).
- **β Phase:** A solid solution rich in Silver (Ag).
- **α + β:** Denotes a region where both α and β phases coexist.
- **Liquid:** Denotes the presence of only liquid phase where both elements are fully melted.

#### Conditions
- The external notation highlights specific conditions:
- Composition = 0 at% Ag
- Composition = 0 wt% Ag
- Temperature = 200°C
- Temperature = 392°F

This phase diagram is crucial for understanding the solidification and melting characteristics of copper-silver alloys, as well as designing materials with desired mechanical and thermal properties for industrial applications.

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