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 1P
To determine
The single phase, three phase reaction and intermetallic compound in a binary phase diagram for a system.
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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?
5. (a) Construct the phase diagram for zinc and magnesium system using the following data:
Melting point of Mg is 665°C
Melting point of Zn is 500 °C
One eutectic point at 350 °C with 20% of Zn
(i)
(ii)
(iii)
(b) Describe what happens when the mixture of 40% mole of Zn is cooled to from 650 °C to
200 °C?
Which line on the above phase diagram corresponds to the Solid-Liquid transition?
Answer
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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- Calculate the weight fraction for phases at point B? what are those phases? Is there any eutectic rection? How many phases are present in this diagram? Cu-Ni system T(°C) TA 1300 -L (liquid): A tie ļine liquidus L +a Тв EB solidus (solid) 1200 TD ID 20 3032 35: 4043 50 Ca wt% Niarrow_forwardPhase diagram of lead-tin system is given in the figure below. For the of composition for 80 wt.% Sn-20 wt.% Pb: (a) Draw schematic sketches of the microstructure, (b) calculate the compositions and weight fractions of each phases at 280°C, just above 183°C (T ) and just below 183°C (T). T° C) 300 L (liquid) TL+BB 97.8 200- 18.3 183° С 1 %3D 3D 100- a + B 13 20 100 32 60 80 C, wt% Snarrow_forwarde 1: ge 2: ge 3: B age 4: 4 ww Page 5: Consider an A-B phase diagram. At what temperature do we observe the maximum L solubility of A in B? Temp L+a L+B a 20% 100 A At the eutectic temperature At the room temperature At the melting point of beta At the melting point of alpha 50% 78% B a+B 100 Barrow_forward
- 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.arrow_forwardAccording to Reference [1], alloys of nickel (Ni) and tungsten (W) are can form substitutional solid solutions up to approximately 11 at% W. Consider two different alloy compositions: Ni-5W (5 at% W) and Ni-10.5W (10.5 at% W). A. Which composition should be more ductile? B. Which composition should be stronger? C. Using the oy~ C¹/2 relationship from the lecture slides, how many times larger should the yield strength be for Ni-10.5W compared to Ni-5W? D. Where should the tungsten atoms sit relative to the dislocation on or opposite the side with the extra half-plane? You will need information from Appendixes of the textbook.arrow_forward(1) Describe what is meant by the term cooling curve when phase diagrams are considered. (ii) Give a thermodynamic interpretation of the terms break and halt. (iii) Sketch an example of a phase diagram for a binary mixture of compounds A and B, which are solids at room temperature. The melting point of A is higher than that of B. The eutectic point is at 80 mol % A. Compound AB melts incongruently. (vi) Sketch a cooling curve at the composition where compound AB is formed.arrow_forward
- For alloy A-B of composition Co (C dot) is 33 at some temperature is found to consist of mass fractions of 0.75 and 0.25 for alpha and beta phases respectively. If the composition of the alpha phase is 15wt% B - 85 wt% A, what is the composition of the beta phase?arrow_forward1-The microstructural design of Iron-Carbon(Fe-C) alloys has led to the development of vast range of steels for structural material applications. The phase diagram provide means for producing specific microstructures. Using the phase diagram below to answer the following questions A – If the liquid mixture of Fe-3%Wt C is slowly cooled from 1600 C to 1200C indicate the phase(S) that are present at 1200 C . Also calculate the composition of the of phases.(10) B-Describe the sequence of all phase transformation that accour from Fe-1.5%wt C is slowly cooled from 1600 C to 400 C. Use the diagram below to to describe the microstructures for each phase transformation (10)arrow_forward700 L 600 м a + L Mg, Pb 500 O 465 400 Mg Pb 300 200 a + Mg Pb B+ Mg,Pb 100 20 40 60 80 100 Mg Composition (wt% Pb) Pb Mg Pb Figure 1 The Mg/Pb phase diagram 1. The Pb% to gain alpha grain with Mg2Pb on the boundary of alpha at the room temperature. ANSWER: From the diagram, the required Pb% is 40% since it corresponds to the boundary eutectic. 2. Is it possible to gain beta grain with Mg2Pb on the boundary at the room temperature of an alloy? Explain ANSWER: It is not possible to get grain on Mg2Pb since the eutectic composition will be varied, which in turn will lose the composition strength. 3. What is the mount of alpha in an alloy (50%Mg +50%Pb) at temperature of 500oC? ANSWER: The mount of alpha in the alloy 50% Mg + 50 % Pb at 500 C will correspond to the eutectic composition at the 70% of Pb, i.e; the mount = 70/100 = 0.7 % of Pb 4. What is the mount of alpha in the alloy (50%Mg +50%Pb) at the room temperature? ANSWER: The mount of alpha in the alloy 50% Mg + 50 % Pb at room…arrow_forward
- The figure below shows Pb-Sn phase diagram. What is the composition of Pb and Sn at point 1? 1200 1000 Liquid a +L 779 C (Tg) B+L 6 800 8.0 71.9 G 91.2 600 400 200 20 40 60 80 100 (Pb) Composition (wt% Sni (Sn) Callister Jr., W.D., 2007 O a. 80 wt % Sn and 20 wt % Pb O b. 10 wt % Sn and 90 wt % Pb O c. 90 wt % Sn and 10 wt % Pb O d. 20 wt % Sn and 80 wt % Pb Temperature ("C)arrow_forwardIn Figure 1 (phase diagram), an alloy composition of 95 wt% Mg and 5 wt% Al is cooled from 700 C to 475 C. An analysis of the resulting ε solid-phase composition reveals that it has a higher Mg content than is anticipated by the phase diagram.a) Explain why this might be the case and how your reasoning results in the higher-than-expected Mg content.b) Provide a sketch showing the likely distribution of Mg content within the volume of ε solid-phase.arrow_forwardThe figure below shows a hypothetical binary eutectic phase diagram on which we indicate an alloy composition of 27% B. Calculate the following quantities: a. Fraction of primary solid that forms under equilibrium cooling at eutectic temperature b. Fraction of liquid with the eutectic composition that will transform to two solid phases below the eutectic isotherm c. The amount of a and ß that will form from the liquid just below the eutectic isotherm. L+B L+a B 20 37 73 27 a +Barrow_forward
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