Homework 8a - Phase Diagrams edit
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Madelaine Tew
ENGR 8
4/24/2023
Homework 8a - Phase Diagrams
9.10 Cite the phases that are present and the phase compositions for the following
alloys:
(a) 90 wt% Zn-10 wt% Cu at 400C (750F)
-
Phase:
𝜀
+
𝜂
-
Phase composition:
-
𝜀
: 87% Zn 13% Cu
-
𝜂
: 97% Zn 3% Cu
(b) 75 wt% Sn-25 wt% Pb at 175C (345F)
-
Phase: α +
𝛽
-
Phase composition:
-
α: 16% Sn 84% Pb
-
𝛽
: 97% Sn 3% Pb
(c) 55 wt% Ag-45 wt% Cu at 900C (1650F)
-
Phase: L (Liquid)
-
Phase composition:
-
L: 55% Ag 45% Cu
(d) 30 wt% Pb-70 wt% Mg at 425C (795F)
-
Phase: α
-
Phase composition:
-
Α: 30% Pb 70% Mg
(e) 2.12 kg Zn and 1.88 kg Cu at 500C (930F)
-
Phase:
𝛽
+ y
-
Phase composition:
-
𝛽
: 49% Zn 51% Cu
-
y: 58% Zn 42% Cu
9.13 A copper-nickel alloy of composition 70 wt% Ni-30 wt% Cu is slowly heated from a
temperature of 1300C (2370F).
(a) At what temperature does the first liquid phase form?
-
1300 degrees Celsius or 2370 degrees fahrenheit
(b) What is the composition of this liquid phase?
-
60% Ni and 39% Cu
(c) At what temperature does complete melting of the alloy occur?
-
1380C
(d) What is the composition of the last solid remaining prior to complete melting?
-
α + L: 79% Ni
9.15 For an alloy of composition 74 wt% Zn-26 wt% Cu, cite the phases present and their
compositions at the following temperatures: 850C, 750C, 680C, 600C, and 500C
-
850
-
Phase: Liquid
-
Composition: 74% Zn 26% Cu
-
750
-
Phase: y + liquid
-
Composition: y: 67% Zn 33% Cu
Liquid: 77% Zn 23% Cu
-
680
-
Phase: δ + Liquid
-
Composition: δ: 73% Zn 27% Cu
Liquid: 82% Zn 18% Cu
-
600
-
Phase: δ
-
Composition: δ: 74% Zn 26% Cu
-
500
-
Phase: y + Ɛ
-
Composition: y: 69% Zn 31%
Cu Ɛ: 78% Zn 22% Cu
9.16 Determine the relative amounts (in terms of mass fractions) of the phases for the
alloys and temperatures given in Problem 9.10 a, b, c, d, e
(a) 90 wt% Zn-10 wt% Cu at 400C (750F)
-
𝜀
: (97-90)/(97-87) = 0.70 or 70%
-
𝜂
: (90-87)/(97-87) = 0.30 or 30%
(b) 75 wt% Sn-25 wt% Pb at 175C (345F)
-
α: (97-75)/(97-16) = 0.27 or 27%
-
𝛽
: (75-16)/(97-16) = 0.73 or 73%
(c) 55 wt% Ag-45 wt% Cu at 900C (1650F)
-
L: 1 because it is only one mass fraction so 100%
(d) 30 wt% Pb-70 wt% Mg at 425C (795F)
-
Also 1 for the same reason as previous
(e) 2.12 kg Zn and 1.88 kg Cu at 500C (930F)
-
𝛽
: (58-53)/(58-49) = 0.56 or 56%
-
Y: (53-49)/(58-49) = 0.44 or 44%
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