For alloys of two hypothetical metals A and B, there exist an a, A-rich phase and a ß, B-rich phase. From the mass fractions of both phases for two different alloys (given below), which are at the same temperature, determin the composition of the phase boundary (or solubility limit) for the following: Fraction Fraction Alloy Composition a Phase B Phase 60 wt% A - 40 wt% B 0.59 0.41 30 wt% A - 70 wt% B 0.13 0.87

Structural Analysis
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For alloys of two hypothetical metals A and B, there exist an a, A-rich phase and a ß, B-rich phase.
From the mass fractions of both phases for two different alloys (given below), which are at the same temperature, determine
the composition of the phase boundary (or solubility limit) for the following:
Fraction Fraction
Alloy Composition
a Phase
B Phase
60 wt% A - 40 wt% B
0.59
0.41
30 wt% A - 70 wt% B
0.13
0.87
(a) a phase
wt% A
(b) B phase
wt% A
Transcribed Image Text:For alloys of two hypothetical metals A and B, there exist an a, A-rich phase and a ß, B-rich phase. From the mass fractions of both phases for two different alloys (given below), which are at the same temperature, determine the composition of the phase boundary (or solubility limit) for the following: Fraction Fraction Alloy Composition a Phase B Phase 60 wt% A - 40 wt% B 0.59 0.41 30 wt% A - 70 wt% B 0.13 0.87 (a) a phase wt% A (b) B phase wt% A
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