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 Page 1


ISSUES TO ADDRESS...
•  When we combine two elements...
what is the resulting equilibrium state?
•  In particular, if we specify...
-- the composition (e.g., wt% Cu - wt% Ni), and
-- the temperature (T)
then...
How many phases form?
What is the composition of each phase?
What is the amount of each phase?
Chapter 9:  Phase Diagrams
Phase B
Phase A
Nickel atom
Copper atom
Page 2


ISSUES TO ADDRESS...
•  When we combine two elements...
what is the resulting equilibrium state?
•  In particular, if we specify...
-- the composition (e.g., wt% Cu - wt% Ni), and
-- the temperature (T)
then...
How many phases form?
What is the composition of each phase?
What is the amount of each phase?
Chapter 9:  Phase Diagrams
Phase B
Phase A
Nickel atom
Copper atom
Phase Equilibria: Solubility Limit
Question: What is the
solubility limit for sugar in 
water at 20ºC?
Answer: 65 wt% sugar.
At 20ºC, if C < 65 wt% sugar: syrup
At 20ºC, if C > 65 wt% sugar:
syrup + sugar
65
•  Solubility Limit:
Maximum concentration for
which only a single phase 
solution exists.
Sugar/Water Phase Diagram
Sugar
Temperature (ºC)
0 20
40 60
80 100
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
Solubility 
Limit
L
(liquid) 
+ 
S
(solid 
sugar) 20
40
60
80
100
Water
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
•  Solution – solid, liquid, or gas solutions, single phase
•  Mixture – more than one phase
Page 3


ISSUES TO ADDRESS...
•  When we combine two elements...
what is the resulting equilibrium state?
•  In particular, if we specify...
-- the composition (e.g., wt% Cu - wt% Ni), and
-- the temperature (T)
then...
How many phases form?
What is the composition of each phase?
What is the amount of each phase?
Chapter 9:  Phase Diagrams
Phase B
Phase A
Nickel atom
Copper atom
Phase Equilibria: Solubility Limit
Question: What is the
solubility limit for sugar in 
water at 20ºC?
Answer: 65 wt% sugar.
At 20ºC, if C < 65 wt% sugar: syrup
At 20ºC, if C > 65 wt% sugar:
syrup + sugar
65
•  Solubility Limit:
Maximum concentration for
which only a single phase 
solution exists.
Sugar/Water Phase Diagram
Sugar
Temperature (ºC)
0 20
40 60
80 100
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
Solubility 
Limit
L
(liquid) 
+ 
S
(solid 
sugar) 20
40
60
80
100
Water
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
•  Solution – solid, liquid, or gas solutions, single phase
•  Mixture – more than one phase
•  Components:
The elements or compounds which are present in the alloy
(e.g., Al and Cu)
•  Phases:
The physically and chemically distinct material regions
that form (e.g., a and b).
Aluminum-
Copper
Alloy
Components and Phases
a (darker 
phase)
b (lighter 
phase)
Adapted from chapter-
opening photograph, 
Chapter 9, Callister, 
Materials Science & 
Engineering: An 
Introduction, 3e. 
Page 4


ISSUES TO ADDRESS...
•  When we combine two elements...
what is the resulting equilibrium state?
•  In particular, if we specify...
-- the composition (e.g., wt% Cu - wt% Ni), and
-- the temperature (T)
then...
How many phases form?
What is the composition of each phase?
What is the amount of each phase?
Chapter 9:  Phase Diagrams
Phase B
Phase A
Nickel atom
Copper atom
Phase Equilibria: Solubility Limit
Question: What is the
solubility limit for sugar in 
water at 20ºC?
Answer: 65 wt% sugar.
At 20ºC, if C < 65 wt% sugar: syrup
At 20ºC, if C > 65 wt% sugar:
syrup + sugar
65
•  Solubility Limit:
Maximum concentration for
which only a single phase 
solution exists.
Sugar/Water Phase Diagram
Sugar
Temperature (ºC)
0 20
40 60
80 100
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
Solubility 
Limit
L
(liquid) 
+ 
S
(solid 
sugar) 20
40
60
80
100
Water
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
•  Solution – solid, liquid, or gas solutions, single phase
•  Mixture – more than one phase
•  Components:
The elements or compounds which are present in the alloy
(e.g., Al and Cu)
•  Phases:
The physically and chemically distinct material regions
that form (e.g., a and b).
Aluminum-
Copper
Alloy
Components and Phases
a (darker 
phase)
b (lighter 
phase)
Adapted from chapter-
opening photograph, 
Chapter 9, Callister, 
Materials Science & 
Engineering: An 
Introduction, 3e. 
70 80 100 60 40 20 0
Temperature (ºC)
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
20
100
40
60
80
0
L
(liquid) 
+ 
S
(solid 
sugar)
Effect of Temperature & Composition
•  Altering T can change # of phases: path A to B.
• Altering C can change # of phases: path B to D.
water-
sugar
system
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
D (100ºC,C = 90)
2 phases 
B (100ºC,C = 70)
1 phase 
A (20ºC,C = 70)
2 phases
Page 5


ISSUES TO ADDRESS...
•  When we combine two elements...
what is the resulting equilibrium state?
•  In particular, if we specify...
-- the composition (e.g., wt% Cu - wt% Ni), and
-- the temperature (T)
then...
How many phases form?
What is the composition of each phase?
What is the amount of each phase?
Chapter 9:  Phase Diagrams
Phase B
Phase A
Nickel atom
Copper atom
Phase Equilibria: Solubility Limit
Question: What is the
solubility limit for sugar in 
water at 20ºC?
Answer: 65 wt% sugar.
At 20ºC, if C < 65 wt% sugar: syrup
At 20ºC, if C > 65 wt% sugar:
syrup + sugar
65
•  Solubility Limit:
Maximum concentration for
which only a single phase 
solution exists.
Sugar/Water Phase Diagram
Sugar
Temperature (ºC)
0 20
40 60
80 100
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
Solubility 
Limit
L
(liquid) 
+ 
S
(solid 
sugar) 20
40
60
80
100
Water
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
•  Solution – solid, liquid, or gas solutions, single phase
•  Mixture – more than one phase
•  Components:
The elements or compounds which are present in the alloy
(e.g., Al and Cu)
•  Phases:
The physically and chemically distinct material regions
that form (e.g., a and b).
Aluminum-
Copper
Alloy
Components and Phases
a (darker 
phase)
b (lighter 
phase)
Adapted from chapter-
opening photograph, 
Chapter 9, Callister, 
Materials Science & 
Engineering: An 
Introduction, 3e. 
70 80 100 60 40 20 0
Temperature (ºC)
C = Composition (wt% sugar)
L
(liquid solution 
i.e., syrup)
20
100
40
60
80
0
L
(liquid) 
+ 
S
(solid 
sugar)
Effect of Temperature & Composition
•  Altering T can change # of phases: path A to B.
• Altering C can change # of phases: path B to D.
water-
sugar
system
Adapted from Fig. 9.1, 
Callister & Rethwisch 8e.
D (100ºC,C = 90)
2 phases 
B (100ºC,C = 70)
1 phase 
A (20ºC,C = 70)
2 phases
Criteria for Solid Solubility 
Crystal
Structure
electroneg
r (nm)
Ni FCC 1.9 0.1246
Cu FCC 1.8 0.1278
• Both have the same crystal structure (FCC) and have 
similar electronegativities and atomic radii (W. Hume –
Rothery rules) suggesting high mutual solubility. 
Simple system (e.g., Ni-Cu solution)
• Ni and Cu are totally soluble in one another for all proportions.
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FAQs on PPT: Phase Diagrams - Engineering Materials - Mechanical Engineering

1. What is a phase diagram in mechanical engineering?
A phase diagram in mechanical engineering is a graphical representation of the different phases or states of a substance under different conditions of temperature and pressure. It shows the boundaries between solid, liquid, and gas phases, as well as any phase transitions that occur. It is essential for understanding the behavior and properties of materials in various engineering applications.
2. How can phase diagrams be used in mechanical engineering design?
Phase diagrams are crucial in mechanical engineering design as they provide valuable information about the phase stability and transformation of materials. By analyzing phase diagrams, engineers can select materials with desired properties, predict the behavior of materials under different conditions, and design components or systems that can withstand specific temperature and pressure ranges. Phase diagrams also aid in the optimization of manufacturing processes and the identification of potential issues related to material compatibility.
3. What are the major components of a phase diagram?
The major components of a phase diagram are the axes, the phase boundary lines, and the phase regions. The axes represent temperature and pressure, while the phase boundary lines separate different phases or phase regions. The phase regions indicate the conditions under which a particular phase is stable. The phase diagram may also include other features such as triple points, critical points, and eutectic points, depending on the system being represented.
4. How do phase diagrams help in understanding material behavior?
Phase diagrams help in understanding material behavior by providing insights into phase transformations, such as melting, solidification, and vaporization. They show the temperature and pressure ranges at which these transformations occur and the corresponding changes in the material's properties. Engineers can use phase diagrams to determine the optimal processing conditions for materials and predict their response to different environments. Furthermore, phase diagrams help identify the existence of solid solutions, eutectics, and other important microstructural features in materials.
5. Can phase diagrams be used to study non-metallic materials in mechanical engineering?
Yes, phase diagrams can be used to study non-metallic materials in mechanical engineering. While phase diagrams are commonly associated with metallic systems, they are also applicable to non-metallic materials such as polymers, ceramics, and composites. These phase diagrams may have different features and phase transitions compared to metallic systems but still provide valuable information about the behavior and stability of non-metallic materials under varying conditions. Understanding phase diagrams of non-metallic materials is essential for designing and engineering components in various industries, including aerospace, automotive, and electronics.
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