**Exercise on Phase Transformations in Iron-Carbon Alloys**Consider 0.60 kg of austenite containing 1.3 wt% C, cooled to below 727°C (1341°F). Using the iron-iron carbide phase diagram, Animated Figure 9.24, determine the following:(a) **How many kilograms of total ferrite form?** Input: [_______] kg(b) **How many kilograms of total cementite form?** Input: [_______] kg(c) **How many kilograms of pearlite form?** Input: [_______] kg(d) **How many kilograms of the proeutectoid phase form?** Input: [_______] kg*Note: Use the information and phase diagram in Animated Figure 9.24 to assist in calculating the weights of each phase formed.* **Phase Diagram of Iron-Carbon Alloy System**This phase diagram illustrates the different phases of iron-carbon alloys based on composition and temperature. The x-axis represents the carbon composition in weight percent (wt% C) and atomic percent (at% C), while the y-axis shows the temperature in both Celsius (°C) and Fahrenheit (°F).### Key Points:- **Solid Phases**: - **α (Ferrite)**: Stable phase at lower temperatures and carbon compositions. - **γ (Austenite)**: Stable at higher temperatures, transforms from ferrite, and holds more carbon. - **δ (Delta Ferrite)**: Forms at high temperatures near the melting point. - **Cementite (Fe₃C)**: A compound of iron and carbon that forms at higher carbon levels.- **Liquid Phase (L)**: Exists at higher temperatures above the solidus line.- **Important Transformations**: - **Eutectoid Point (0.76 wt% C, 727°C)**: Austenite decomposes into ferrite and cementite. - **Eutectic Point (4.30 wt% C, 1147°C)**: Liquid transforms into a mixture of austenite and cementite. - **Melting Point of Pure Iron (0 wt% C, 1538°C)**: Near this temperature, delta ferrite (δ) forms before melting completely into liquid.### Notable Temperatures:- **1538°C**: Melting point of pure iron.- **1394°C**: Start of delta ferrite formation.- **912°C**: Transition to austenite.- **727°C**: Eutectoid transformation from austenite to a mixture of ferrite and cementite.- **Temperature Highlights**: - 400°C and its equivalent 752°F are marked for reference on the diagram.This diagram provides crucial information for understanding the thermal and compositional behavior of iron-carbon alloys, essential for materials engineering and metallurgy.

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Consider 0.60 kg of austenite containing 1.3 wt% C, cooled to below 727°C (1341°F). Using the iron-iron carbide phase diagram, Animated Figure 9.24, determine the following: (a) How many kilograms of total ferrite form i kg (b) How many kilograms of total cementite form i kg (c) How many kilograms of pearlite form i kg (d) How many kilograms of the proeutectoid phase form i kg

Consider 0.60 kg of austenite containing 1.3 wt% C, cooled to below 727°C (1341°F). Using the iron-iron carbide phase diagram, Animated Figure 9.24, determine the following: (a) How many kilograms of total ferrite form i kg (b) How many kilograms of total cementite form i kg (c) How many kilograms of pearlite form i kg (d) How many kilograms of the proeutectoid phase form i kg

Elements Of Electromagnetics

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ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Question

**Exercise on Phase Transformations in Iron-Carbon Alloys**

Consider 0.60 kg of austenite containing 1.3 wt% C, cooled to below 727°C (1341°F). Using the iron-iron carbide phase diagram, Animated Figure 9.24, determine the following:

(a) **How many kilograms of total ferrite form?**
Input: [_______] kg

(b) **How many kilograms of total cementite form?**
Input: [_______] kg

(c) **How many kilograms of pearlite form?**
Input: [_______] kg

(d) **How many kilograms of the proeutectoid phase form?**
Input: [_______] kg

*Note: Use the information and phase diagram in Animated Figure 9.24 to assist in calculating the weights of each phase formed.*

**Phase Diagram of Iron-Carbon Alloy System**

This phase diagram illustrates the different phases of iron-carbon alloys based on composition and temperature. The x-axis represents the carbon composition in weight percent (wt% C) and atomic percent (at% C), while the y-axis shows the temperature in both Celsius (°C) and Fahrenheit (°F).

### Key Points:
- **Solid Phases**:
- **α (Ferrite)**: Stable phase at lower temperatures and carbon compositions.
- **γ (Austenite)**: Stable at higher temperatures, transforms from ferrite, and holds more carbon.
- **δ (Delta Ferrite)**: Forms at high temperatures near the melting point.
- **Cementite (Fe₃C)**: A compound of iron and carbon that forms at higher carbon levels.

- **Liquid Phase (L)**: Exists at higher temperatures above the solidus line.

- **Important Transformations**:
- **Eutectoid Point (0.76 wt% C, 727°C)**: Austenite decomposes into ferrite and cementite.
- **Eutectic Point (4.30 wt% C, 1147°C)**: Liquid transforms into a mixture of austenite and cementite.
- **Melting Point of Pure Iron (0 wt% C, 1538°C)**: Near this temperature, delta ferrite (δ) forms before melting completely into liquid.

### Notable Temperatures:
- **1538°C**: Melting point of pure iron.
- **1394°C**: Start of delta ferrite formation.
- **912°C**: Transition to austenite.
- **727°C**: Eutectoid transformation from austenite to a mixture of ferrite and cementite.
- **Temperature Highlights**:
- 400°C and its equivalent 752°F are marked for reference on the diagram.

This diagram provides crucial information for understanding the thermal and compositional behavior of iron-carbon alloys, essential for materials engineering and metallurgy.

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