Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 28AAP
Consider the binary peritectic iridium–osmium phase diagram of Figure P8.28. Make phase analyses of a 70 wt% Ir–30 wt% Os alloy at the temperatures (a) 2600°C, (b) 2665°C + ΔT, and (c) 2665°C − ΔT. In the phase analyses include:
- i. The phases present
- ii. The chemical compositions of the phases
- iii. The amounts of each phase
- iv. Sketch the microstructure by using 2-cm-diameter circular fields.
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A lead-tin (Pb-Sn) alloy of composition 50 wt % Sn and 50 wt % Pb is slowly heated from a temperature of 100 °C. Refer to the phase diagram provided
in Figure 1 and answer the following.
(i) At what temperature does the first liquid phase form?
(ii) What is the composition of this liquid phase?
(iii) At what temperature does complete melting of the alloy occur?
(iv) What is the composition of the last solid remaining prior to complete melting?
Composition (at% Sn)
20
40
60
80
100
327°C
600
300
Liquid
500
232°C
a + L
200
B+L
1400
183°C
18.3
61.9
97.8
300
100
a + B
200
H100
20
40
60
80
100
(Pb)
Composition (wt% Sn)
(Sn)
Figure 1. Lead (Pb) and Tin (Sn) Phase diagram
Temperature (°C)
Temperature (°F)
Question:
Construct the hypothetical phase diagram for metals A and B between room temperature (20°C) and 700°C given the following information:
The melting temperature of metal A is 480°C.
The maximum solubility of B in A is 4 wt% B, which occurs at 420°C.
The solubility of B in A at room temperature is 0 wt% B.
One eutectic occurs at 420°C and 18 wt% B–82 wt% A.
A second eutectic occurs at 475°C and 42 wt% B–58 wt% A.
The intermetallic compound AB exists at a composition of 30 wt% B–70 wt% A, and melts congruently at 525°C.
The melting temperature of metal B is 600°C.
The maximum solubility of A in B is 13 wt% A, which occurs at 475°C.
● The solubility of A in B at room temperature is 3 wt% A.
Draw thermal equilibrium diagram for the binary alloy system (Si-Au), from the following data:-
a- Silicon melts at 1414 °C, and gold melts at 1064 °C.
b-Eutectic is formed at 360°C containing 20 Wt% Si -80 Wt% Au, and identify all phases are present in
the diagram
c-Determine the amount of each phase for the alloy which consist of 60 Wt% Si- 40Wt % Au at 1200
°C and 800 °C ,then determine the amount of eutectic at 200 °C?
Chapter 8 Solutions
Foundations of Materials Science and Engineering
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- A lead-tin (Pb-Sn) alloy of composition 30 wt % Sn and 70 wt % Pb is slowly heated from a temperature of 140 OC. Refer to the phase diagram provided in Figure 1 and answer the following. (i) At what temperature does the first liquid phase form? (ii) What is the composition of this liquid phase? (iii) At what temperature does complete melting of the alloy occur? (iv) What is the composition of the last solid remaining prior to complete melting?arrow_forwardReferring to Figure 1, answer the following: What are the liquidus and solidus temperatures for an 80%Pb20%Tl alloy? What is the composition of the solid solution phase for the aforementioned alloy once we hit the liquidus temperature upon cooling? For the same alloy above, use the inverse lever rule to calculate the %solid and %liquid at 325Carrow_forwardBased on the copper-silver phase diagram, for the alloy with 25wt% Ag-75wr% Cu at 778°C (a) Determine the phase(s), % composition, and mass fraction of each phase, and sketch the microstructure; (b) Determine the mass fraction of primary a phase and eutectic a phase. Composition tatN A 100 2200 20 40 60 80 1200 2000 Liquidus 1000 Liquid 1800 Solidus 1600 9 800 779C (7) B 1400 91.2 (Cpg 8.0 71.9 1200 600 1000 Solvus 800 400 600 200 0 400 100 20 40 60 80 (Ag) (Cu) Composition (w% A Temperature (C) w araduaarrow_forward
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