Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Textbook Question
Chapter 8.15, Problem 5KCP
Refer to the pressure–temperature equilibrium phase diagram for pure water (Fig. 8.1) and answer the following:
- (a) How many degrees of freedom are there at the triple point?
- (b) How many degrees of freedom are there along the freezing line?
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Consider the phase diagram below. The three points A, B, and C are at concentrations of 26.4, 31.3, and 34
wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the
weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C?
T(°C)
1300 L (liquid)
1200
20
A B C
L + a
C1
S
liquidus
L + a
solidus
a
(solid)
50
wt% Ni
a. Walpha=0.21; WL=0.33; Walpha/WL = 13.17
b. Walpha=0.09; WL=0.32; Walpha/WL = 15.00
c. Walpha=0.07; WL=0.46; Walpha/WL = 11.17
d. Walpha=0.14; WL=0.37; Walpha/WL = 9.00
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27.8, 31.6, and 33.5 wt% Ni respectively.
The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L
phase at B, as well as the alpha phase/L phase ratio at C?
T(°C)
1300
1200
- L (liquid)
20
ABC
L + a
C1
30
S
C2
liquidus
40
L + a
solidus
α
(solid)
a. Walpha=0.34; WL=0.29; Walpha/WL = 8.94
b. Walpha=0.23; WL=0.29; Walpha/WL = 8.85
c. Walpha=0.28; WL=0.34; Walpha/WL = 5.67
d. Walpha=0.19; WL=0.44; Walpha/WL = 7.56
50
wt% Ni
Consider the phase diagram below. The three points A, B, and C are at concentrations of 27.3, 31.2, and 33.3 wt% Ni respectively. The ends of the tie
line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha
phase/L phase ratio at C?
T(°C)
1300
1200
20
L (liquid)
ABC
L+a
C1
Previous page
30
S
liquidus
L + a
solidus
α
(solid)
O a. Walpha=0.23; WL-0.38; Walpha/WL = 4.88
O b. Walpha=0.15; WL-0.47; Walpha/WL = 6.65
O c. Walpha=0.18; WL-0.33; Walpha/WL = 7.53
O d. Walpha=0.30; WL-0.34; Walpha/WL = 7.87
50
wt% Ni
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Chapter 8 Solutions
Foundations of Materials Science and Engineering
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