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.


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)
expand button
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)
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.


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)
expand button
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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