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 0.55 0.45 30 wt% A - 70 wt% B 0.13 0.87 (a) a phase i 20.7 wt% A (b) ß phase i 92.14 wt% A

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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
0.55
0.45
30 wt% A - 70 wt% B
0.13
0.87
(a) a phase
i 20.7
wt% A
(b) B phase
i 92.14
wt% A
eTextbook and Media
Hint
Assistance Used
Review Section 9.8 Interpretation of Phase Diagrams, in particular Equations 9.1b and 9.2b.
Са — Со
WL
(9.1b)
Ca – CL
Со — СL
Wa =
(9.2b)
Ca - CL
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 0.55 0.45 30 wt% A - 70 wt% B 0.13 0.87 (a) a phase i 20.7 wt% A (b) B phase i 92.14 wt% A eTextbook and Media Hint Assistance Used Review Section 9.8 Interpretation of Phase Diagrams, in particular Equations 9.1b and 9.2b. Са — Со WL (9.1b) Ca – CL Со — СL Wa = (9.2b) Ca - CL
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