Degarmo's Materials And Processes In Manufacturing
13th Edition
ISBN: 9781119492825
Author: Black, J. Temple, Kohser, Ronald A., Author.
Publisher: Wiley,
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Chapter 4, Problem 26RQ
To determine
The stoichiometric intermetallic compounds and the appearance of both stoichiometric and non-stoichiometric compounds in temperature- composition phase diagram.
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BI (a) Figure BI below shows the equilibrium phase diagram of hypothetical A - B alloy system.
Answer the following questions.
What are technical names of Line A and Line B? What do they signify?
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(ii) With the aid sketches, portray the microstructures and phases that are present for the
20wt%A-80wt%B alloy (Alloy A) at the temperatures of 780 °C, 670 °C, 652 °C, and 500
°C, respectively.
(iii) Assume an A - B alloy (Alloy B) has 60wt%a - 40wt%L, in terms of weight, at a
temperature of 652 °C. Determine the overall composition of Alloy B.
(o) emai
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500
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A
760 °C
Line B
W
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20
Line A
a + L
650 °C
40
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wt%B
Figure B1
52.5
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B+L
80
93.7 B
100
B
For a 76 wt% Pb–24 wt% Mg alloy, make schematic sketches of the microstructure that would be observed for conditions of very slow cooling at the following temperatures: 575°C, 500°C, 450°C, and 300°C. Label all phases and indicate their approximate compositions.
A steel alloy is known to contain 93.8 wt% Fe, 6.0 wt% Ni, and 0.2 wt% C. Assume that there are no alterations in the positions of
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(a) What is the approximate eutectoid temperature of this alloy?
i
°C
(b) What is the proeutectoid phase when this alloy is cooled to a temperature just below the eutectoid?
(c) Compute the relative amounts of the proeutectoid phase and pearlite.
Wa
Wp :
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Chapter 4 Solutions
Degarmo's Materials And Processes In Manufacturing
Ch. 4 - What kind of questions can be answered by...Ch. 4 - Prob. 2RQCh. 4 - Supplement the examples provided in the text with...Ch. 4 - Prob. 4RQCh. 4 - What three primary variables are generally...Ch. 4 - Use the pressure–temperature diagram for water...Ch. 4 - Prob. 7RQCh. 4 - What form of equilibrium phase diagram is most...Ch. 4 - What is a cooling curve?Ch. 4 - Prob. 10RQ
Ch. 4 - Prob. 11RQCh. 4 - Prob. 12RQCh. 4 - Prob. 13RQCh. 4 - What types of changes occur upon cooling through a...Ch. 4 - Prob. 15RQCh. 4 - What is a tie�line? For what types of phase...Ch. 4 - What points on a tie�line are used to determine...Ch. 4 - Prob. 18RQCh. 4 - What is a cored structure? Under what conditions...Ch. 4 - What is the difference between a cored structure...Ch. 4 - Prob. 21RQCh. 4 - Prob. 22RQCh. 4 - Prob. 23RQCh. 4 - Prob. 24RQCh. 4 - For the various three�phase reactions, what does...Ch. 4 - Prob. 26RQCh. 4 - Prob. 27RQCh. 4 - Prob. 28RQCh. 4 - Prob. 29RQCh. 4 - Prob. 30RQCh. 4 - Prob. 31RQCh. 4 - Prob. 32RQCh. 4 - Prob. 33RQCh. 4 - Prob. 34RQCh. 4 - Prob. 35RQCh. 4 - Prob. 36RQCh. 4 - Prob. 37RQCh. 4 - What is carbon equivalent, and how is it computed?Ch. 4 - Prob. 39RQCh. 4 - Prob. 40RQCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Consider the manufacture of a fishhook beginning...Ch. 4 - If a stainless steel were to be used, what type of...Ch. 4 - A wide spectrum of coatings and surface treatments...Ch. 4 - Prob. 1.4CSCh. 4 - Prob. 2.1CSCh. 4 - Prob. 2.2CSCh. 4 - Prob. 2.3CSCh. 4 - Prob. 2.4CS
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- 9.43 For a 76 wt% Pb-24 wt% Mg alloy, make sche- ● matic sketches of the microstructure that would be observed for conditions of very slow cooling at the following temperatures: 575°C (1070°F), 500°C (930°F), 450°C (840°F), and 300°C (570°F). Label all phases and indicate their approximate compositions.arrow_forwardA 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_forwardPhase Diagrams Question-1 (a) What is a binary isomorphous alloy system? (b) What are the four Hume-Rothery rules for the solid solubility of one element in another? (c) Describe how the liquidus and solidus of a binary isomorphous phase diagram can be determined experimentally. (d) Explain how a cored structure is produced in a 70% Cu-30% Ni alloy. How can the cored structure be eliminated by heat treatment?arrow_forward
- 3. For a Pb-10% Sn alloy Determine (a) composition of the first solid to form; (b) liquidus temperature, solidus temperature, solvus temperature (as a pplicable), and freezing range of the alloy; (c) amounts and compositions of each phase at 300° C; (d) amounts and compositions of each phase at 200° C; and (e) amounts and compositions of cach phase at 100° C. 400 300 Liquidus Solidus Liquidus Sohdus a+ L 200 19 1831 619 97.5 Solvus Solvus 100 a + B Pb 20 40 60 80 Sn Weight percent tin Temperature ('C)arrow_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_forward1200 + Liquid B+L 1000- a+L 28% 800- 780°C (Ag) (Cu) 600- a +B 400 200 - 10 20 30 40 50 60 70 80 90 100 Ag Mass % Cu Cu T (°C)arrow_forward
- What is a peritectic phase diagram? Draw a typical equilibrium diagram for a eutectic type of system with limited solid solubility and explain its important features.arrow_forwardThe Fe – Au solid – liquid T – xB phase diagram can be viewed as the intersection of asolid – phase miscibility gap with a solid – liquid phase – transition loop having aminimum at xAu = 0.8. The miscibility gap intersects the phase transition loop at xAu =0.1 and at xAu = 0.3. Fe has a higher melting point than Au. Sketch the phase diagramand label all the areas.arrow_forwardPhase Diagram A/ The lead and tin are partially dissolved in each other in solid state although they completely dissolved in liguid state. They form eutectic from solid solutions alfa (a) and beta (B) at alloying composition 62% tin and 38% lead, the eutectic forming temperature is 184oC. Alfa contained 20% tin dissolved in 80% lead at 1840C while beta consist of lead dissolved in tin at 1840C. If the 100 g of eutectic contained 45.5 g of alfa at 1840C. The melting temperatures of lead and tin are 3290C and 2320C respectively, and the solubility of tin and lead in each other's diminished to zero at room temperature. Plot the phase diagram for lead- tin system label all phases and temperature. Show graphically the temperature of the formation of the first solid for 42% lead alloyarrow_forward
- 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)arrow_forwardWhat is meant by a phase? Describe an example. And what is the equilibrium phase diagram?arrow_forward3. (a) What is hot shortness? How does it affect the temperature at which eutectic alloys can be used? (b) An intermetallic compound is found for 38 wt.% Sn in the Cu-Sn phase diagram. Determine the formula for the compound. (c) What is an invariant reaction? Show that of for a two-component system the number degrees of freedom for an invariant reaction is zero.arrow_forward
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