9.41 Consider a hypothetical eutectic phase diagram for metals A and B that is similar to that for the lead-tin system (Figure 9.8). Assume that: (1) a and B phases exist at the A and B extremes of the phase diagram, respectively; (2) the eutectic com- position is 36 wt% A-64 wt% B; and (3) the com- position of the a phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composi- tion of an alloy that will yield primary B and total B mass fractions of 0.367 and 0.768, respectively.
9.41 Consider a hypothetical eutectic phase diagram for metals A and B that is similar to that for the lead-tin system (Figure 9.8). Assume that: (1) a and B phases exist at the A and B extremes of the phase diagram, respectively; (2) the eutectic com- position is 36 wt% A-64 wt% B; and (3) the com- position of the a phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composi- tion of an alloy that will yield primary B and total B mass fractions of 0.367 and 0.768, respectively.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Transcribed Image Text:9.41 Consider a hypothetical eutectic phase diagram
for metals A and B that is similar to that for the
lead-tin system (Figure 9.8). Assume that: (1) a
and B phases exist at the A and B extremes of the
phase diagram, respectively; (2) the eutectic com-
position is 36 wt% A-64 wt% B; and (3) the com-
position of the a phase at the eutectic temperature
is 88 wt% A-12 wt% B. Determine the composi-
tion of an alloy that will yield primary B and total
B mass fractions of 0.367 and 0.768, respectively.
![Composition (at% Sn)
20
40
60
80
100
327°C
600
300
Liquid
500
232°C
a + L
200
ß + L
400
183°C
18.3
61.9
97.8
H300
100
a + B
200
100
20
40
60
80
100
(Pb)
Composition (wt% Sn)
(Sn)
Figure 9.8 The lead-tin phase diagram.
[Adapted from Binary Alloy Phase Diagrams, 2nd edition, Vol. 3, T. B. Massalski (Editor-in-Chief),
1990. Reprinted by permission of ASM International, Materials Park, OH.]
Temperature (°C)
Temperature (°F)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2520f39-8b3c-4b2b-be15-831ac0e5241f%2F31f62360-9fc8-4725-abed-56fb9cba6df9%2Fw92at2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Composition (at% Sn)
20
40
60
80
100
327°C
600
300
Liquid
500
232°C
a + L
200
ß + L
400
183°C
18.3
61.9
97.8
H300
100
a + B
200
100
20
40
60
80
100
(Pb)
Composition (wt% Sn)
(Sn)
Figure 9.8 The lead-tin phase diagram.
[Adapted from Binary Alloy Phase Diagrams, 2nd edition, Vol. 3, T. B. Massalski (Editor-in-Chief),
1990. Reprinted by permission of ASM International, Materials Park, OH.]
Temperature (°C)
Temperature (°F)
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