Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 31AAP
In the copper–lead (Cu–Pb) system (Fig. 8.24) for an alloy of Cu–10 wt% Pb, determine the amounts and compositions of the phases present at (a) 1000°C, (b) 955°C + ΔT, (c) 955°C − ΔT, and (d) 200°C.
Figure 8.24
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c)
The Cu-Zn phase diagram is shown in Figure 2.
i)
For a sample of composition 40 wt% Zn and 60 wt% Cu at 700°C, determine:
(1)
(ii)
the composition of the a-phase present at equilibrium
the composition of the B-phase present at equilibrium
(ii)
the relative amounts of both phases present at equilibrium
ii)
(ii)
For a sample of composition 50 wt% Zn and 50 wt% Cu at 700°C, determine
what phases are present at equilibrium?
(ii)
what is the composition of each phase?
ii)
For a 68 wt% Zn-32 wt% Cu alloy, make schematic sketches of the
microstructure that would be observed for conditions of very slow cooling at the
following temperatures: 1000°C, 760°C, 600°C and 400°C. Label all phases
and indicate their approximate compositions.
Compostion (2: In
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Conporiton twt% Zro
Question:
For 5.7 kg of a magnesium–lead alloy of composition 50 wt% Pb–50 wt% Mg, is it possible, at equilibrium, to have α and Mg2Pb phases with respective masses of 5.13 and 0.57 kg? If so, what will be the approximate temperature of the alloy? If such an alloy is not possible, then explain why.
QUESTION 3:
Consider 2 kg of tin-bismuth alloy (Sn-Bi) containing 30 wt% Bi. The phase diagram of the alloy is shown in
the figure below. The alloy is cooled to 138 °C (just below the eutectic temperature).
300
271°C
232°C
L
9 200
Bi +L
B +L
139°C
21
57
100
Bi
B + Bi
13°C
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(Sn)
(Bi)
Composition (wt% Bi)
a) What is the proeutectic phase?
b) How many kilograms of total phase B and Bi form?
c) How many kilograms of the proeutectic phase form?
d) How many kilograms of the eutectic phase B and eutectic phase Bi form?
e) Schematically sketch and label the resulting microstructure.
Temperature (°C)
Chapter 8 Solutions
Foundations of Materials Science and Engineering
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