Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system, (shown in the figure below.) Assume that (1) a and ß phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield primary ß and total ß mass fractions of 0.357 and 0.764, respectively.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system,
(shown in the figure below.) Assume that (1) a and B phases exist at the A and B extremities of the phase diagram,
respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase at the eutectic
temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield primary ßand total ß mass
fractions of 0.357 and 0.764, respectively.
Composition (at% Sn)
20
40
60
80
100
327°C
600
300
Liquid
500
232°C
a + L
200
B +L
400
183°C
18.3
61.9
97.8
300
100
a + B
200
100
20
40
60
80
100
(Pb)
Composition (wt% Sn)
(Sn)
i
67.83
wt% B
Temperature (°C)
Temperature (F)
Transcribed Image Text:Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system, (shown in the figure below.) Assume that (1) a and B phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield primary ßand total ß mass fractions of 0.357 and 0.764, respectively. Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a + L 200 B +L 400 183°C 18.3 61.9 97.8 300 100 a + B 200 100 20 40 60 80 100 (Pb) Composition (wt% Sn) (Sn) i 67.83 wt% B Temperature (°C) Temperature (F)
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