Chapter 9: Phase Diagrams
Chapter 9: Phase Diagrams
ISSUES TO ADDRESS...
? When we combine two elements...
what equilibrium state do we get?
? In particular, if we specify...
--a composition (e.g., wt% Cu - wt% Ni), and --a temperature (T )
then...
How many phases do we get? What is the composition of each phase? How much of each phase do we get?
Phase A
Phase B
Nickel atom Copper atom
Chapter 9 - 1
Phase Equilibria: Solubility Limit
Introduction
? Solutions ? solid solutions, single phase
? Mixtures ? more than one phase
Adapted from Fig. 9.1, Callister 7e.
? Solubility Limit:
Max concentration for which only a single phase solution occurs.
Question: What is the
solubility limit at 20?C?
Answer: 65 wt% sugar.
Temperature (?C)
Sucrose/Water Phase Diagram
100
Solubility
80
Limit
60
L
40 (liquid solution i.e., syrup)
20
L
(liquid)
+ S
(solid sugar)
If Co < 65 wt% sugar: syrup If Co > 65 wt% sugar: syrup + sugar.
0
20 40 6065 80 100 Co =Composition (wt% sugar)
Pure Sugar
Pure Water
Chapter 9 - 2
Components and Phases
? Components:
The elements or compounds which are present in the mixture
(e.g., Al and Cu)
? Phases:
The physically and chemically distinct material regions that result (e.g., and ).
AluminumCopper Alloy
(lighter phase)
(darker
phase)
Adapted from chapter-opening photograph, Chapter 9, Callister 3e.
A phase maybe defined as a homogeneous portion of a system that has
uniform physical and chemical characteristics.
Chapter 9 - 3
Effect of T & Composition (Co)
? Changing T can change # of phases: path A to B.
? Changing Co can change # of phases: path B to D.
B (100?C,70) D (100?C,90)
100
1 phase
2 phases
watersugar system
Adapted from Fig. 9.1, Callister 7e.
Temperature (?C)
80 60 40 20 00
L
(liquid solution
i.e., syrup)
L
(liquid)
+ S
(solid sugar)
A (20?C,70)
2 phases
20 40 60 70 80 100
Co =Composition (wt% sugar)
Chapter 9 - 4
Phase Equilibrium
Equilibrium: minimum energy state for a given T, P, and composition (i.e. equilibrium state will persist indefinitely for a fixed T, P and composition). Phase Equilibrium: If there is more than 1 phase present, phase characteristics will stay constant over time. Phase diagrams tell us about equilibrium phases as a function of T, P and composition (here, we'll always keep P constant for simplicity).
Chapter 9 - 5
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