Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 22AAP
Consider an alloy containing 70 wt% Ni and 30 wt% Cu (see Fig. 8.5).
- a. At 1350°C, make a phase analysis assuming equilibrium conditions. In the phase analysis, include the following:
- i. What phases are present?
- ii. What is the chemical composition of each phase?
- iii. What amount of each phase is present?
- b. Make a similar phase analysis at 1500°C.
- c. Sketch the microstructure of the alloy at each of these temperatures by using circular microscopic fields.
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5. For 40 wt% Sn – 60 wt% Pb alloy at 150 oC (at point B) as shown in Figure,
ii.
Calculate the composition(s) of the phase(s) present.
iii.
Calculate the amount of each phase present in terms of mass fraction.
600
300
Liquid
500
a+L
200
400
300
100
200
100
20
60
80
100
(Pb)
(Sn)
Composition (wt% Sn)
Temperature ("C)
Temperat ure ("F)
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?
Calculate the amounts and compositions of phases at 726oC in a Fe-0.6% C alloy cooled under equilibrium conditions. Disregard the amounts of proeutectoid phases.
A.
77.3% α, 22.7% Fe3C; C in α = 6.7% and C in Fe3C = 0.02%
B.
91.3% α, 8.7% Fe3C; C in α = 0.02% and C in Fe3C = 6.7%
C.
77.3% α, 22.7% Fe3C; C in α = 0.02% and C in Fe3C = 6.7%
D.
91.3% α, 8.7% Fe3C; C in α = 0.05% and C in Fe3C = 8.4%
E. None of the mentioned
Chapter 8 Solutions
Foundations of Materials Science and Engineering
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- In the binary phase diagram for the Cu-Ni system in the Figure provided: 1. Draw the microstructures for each point for the alloy upon cooling (A-E) and label ALL phases! 2. What are the compositions (C's) of EVERY phase and the relative phase amounts (W's) for each microstructure A-E? Show all work! T(°C) (liquid) L 20 (a, solid) 30 A BUD E 40 Co OOOOO w 10 50 wt% Ni CL= Ca= CL= Ca= CL= Ca= C₁= Cu= C₁= Ca= WL= Wa= WL= Wα= W₁= W= W₁= Wa= W₁= Wu= A B Earrow_forwardA 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)arrow_forwardIn the binary phase diagram for the Cu-Ni system in the Figure provided: 1. Draw the microstructures for each point for the alloy upon cooling (A-E) and label ALL phases! 2. What are the compositions (C's) of EVERY phase and the relative phase amounts (W's) for each microstructure A-E? Show all work! TOCL (liquid) 20 (a, solid) 30 A BCD E E 40 OOOOO 50 wt% Ni www CL= Ca= CL= Ca= CL= Ca= CL= Cu= C₁= Ca= W₁= Wa= WL= WQ= W₁= Wa= W₁= Wa= W₁= Wa= A B C D Earrow_forward
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- BINARY PHASE DIAGRAMS Please only answer parts d and e as the rest have been solved. Show full detailed explanation to answers with diagrams if necessary a)(i) What is the melting point of pure Mg?(ii) What is the maximum solubility of Mg in Pb and at what temperaturedoes this occur? (b) A 50 wt.% Pb-50wt% Mg alloy is slowly cooled from 700 °C to 400 °C.(i) At what temperature does the first solid phase form?(ii) What is the composition of this solid phase?(iii) At what temperature does all the liquid solidify?(iv) What is the composition of the last remaining liquid phase?(v) What is the freezing range? (c) What is the mass fraction of solid and liquid of a 60 wt.% Mg alloy at atemperature of 500 °C.(d) Draw and label the microstructure of an 80 wt.% Mg alloy at 600 °C.(e) A Mg-Pb alloy of mass 5.5 kg has a composition just slightly below thesolubility limit of 200 °C.(i) What mass of lead is in the alloy?(ii) If the alloy is heated to 350 °C how much more lead can be dissolvedin…arrow_forward3. The figure below shows the phase diagram for a hypoeutectoid plain carbon steel. Assume that point c is slightly above 723 °C and point d is slightly below 723 °C. i. ii. iii. Explain the structure at points a, b, c, and d on the diagram. Determine the wt% of proeutectoid ferrite at point c. Determine the wt% of eutectoid ferrite at point d. Temperature (°C) 1000 900 800 700 600 500 400 0 100% Fe y+ a 0.02 a + Fe, C b 0.4 723°C y + Fe, C Pearlite 0.8 Weight percent carbon Fe₂C 6.67arrow_forwardUse the phase diagrams for Cu-Ni and Cu-Ag systems below to answer the question: Based on the mechanism, would you expect a solution containing 80 wt% Cu to be stronger if the remaining 20% of the alloy was Ni or Ag? Briefly explainarrow_forward
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