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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Textbook Question
Chapter 4, Problem 17RQ
What points on a tie�line are used to determine the chemistry (or composition) of the component phases?
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Students have asked these similar questions
For the given Ti-Cu phase diagram, specify all temperature-composition points at which eutectics, eutectoids, peritectic,
and congruent phase transformations occur. Also, for each, write the reaction upon cooling.
Temperature (°C)
1700
1500
1300
1100
900
700
500
0
(Ti)
1
B
a
20
Ti₂Cu
40
Composition (wt% Cu)
L
TiCu
TigCu4
60
5. For a 33 wt% Sn-67 wt% Pb alloy at 150°C:
a. What phase(s) is (are) present?
b. (b) What is (are) the composition(s) of the phase(s)?
C. Calculate the relative amount of each phase present in terms of mass fraction.
Temperature (°C)
300
200
100
327°C
(Pb)
20
a + L
18.3
40
20
Composition (at % Sn)
60
183°C
40
a + ß
Liquid
61.9
60
Composition (wt% Sn)
Lead - Tin Phase Diagram
80
80
B+L
232°C
97.8
100
B
| to
600
500
400
300
200
100
100
(Sn)
Temperature (°F)
part a) A carbon-Fe alloy containing 1.5 wt% C is
cooled down to 800°C. Determine what phases
are present, the fraction of each phase present,
and the composition of each phase.
part b) A carbon-Fe alloy containing 1.5 wt% C is
cooled down to 400 Celsius. Same as above,
determine what phases are present, the fraction of
each phase present, and the composition of each
phase.
use the picture below
Irn-Iron Carbide Phase Diagram
1600
8 (Ferrite)N538°C
1100
2000
1495°C
Liquid
1000-
1400
1394°C
1200
Y (austenite)
2500
y +liquid
1148°C
2.11%
900
Y+ Fe,C
4.30%
2000
1500
800
1000
Y+ cementite
Detail view
727°C
a+y
700
912°C
727°C
a+y
80에
0.77%
0.022%
1500
Ferrite
600
600
a + cementite
-Fe,C 1000
α (errte)
1000
Cementite (FeC) -
500
400
a + Fe,C
1
Carbon (% by weight)
6 6.67
0.5
1.0
Carbon (% by weight)
1.5
2.0
2.5
(a)
(b)
FIGURE 5.4 (a) The iron-iron carbide phase diagram. (b) Detailed view of the microstructures above and below the
eutectoid temperature of 727°C (1341°F). Because of the…
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Phase 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_forwardGive me both answers... Urgentttttttttarrow_forward5arrow_forward
- b) Figure 1 shows a Cu-Ag phase diagram. Calculate the phase analysis for 50% Ag-50% Cu at 800 °C. Temperature (°C) 1200 1000 800 600 400 200 ( C (Cu) B 8.0 (C₂g) -Solidus Solvus 20 20 a + L Composition (at% Ag) 40 -Liquidus 779°C (TE) a + B 40 Liquid 60 Composition (wt% Ag) 60 71.9 (CE) 80 80 B+L 91.2 (CBg) G to 100 2200 2000 1800 F 1600 1400 1200 1000 800 600 400 100 Temperature (°F)arrow_forwardConsider the phase diagram below. The three points A, B, and C are at concentrations of 27, 31.9, and 33.8 wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C? T(°C) 1300-L (liquid) 1200 20 ABC L + a C1 30 S C2 liquidus 40 L + a solidus α (solid). O a. Walpha=0.12; WL=0.41; Walpha/WL = 9.41 O b. Walpha=0.27; WL-0.26; Walpha/WL = 11.11 O c. Walpha=0.15; WL-0.26; Walpha/WL = 11.80 Od. Walpha=0.20; WL-0.31; Walpha/WL = 7.33 50 wt% Niarrow_forwardMaterial science The figure given below shows the Pb-Sn binary phase diagram. a) Cite the phases present, their compositions and and calculate the relative amounts (in terms of mass fractions) of the phases for the alloy 75 wt. % Sn at temperatures of 175°C (A) and 250°C (B), respectively.arrow_forward
- Consider Cu - Ag Phase diagram below: 1200 A -Liquidus 1000 Liquid -Solidus 779°C (TE) 800 Temperature (°C) 600 400 a C 200 0 B 8.0 (Cag) Solvus a +L a + ß E 71.9 (CE) B+L 91.2 (CBE) B H 1 1 1 1 1 { ( L 20 40 60 80 100 (Cu) Composition (wt% Ag) (Ag) Consider 71.9% Ag-28.1% Cu, which is cooled below 779°C. What is the composition of the phases present just below 779°C and give the amount of beta phase presentarrow_forwardConsider the phase diagram below. The three points A, B, and C are at concentrations of 26.4, 31.3, and 34 wt% Ni respectively. The ends of the tie line are at C1 = 25% wt% Ni and C2 = 35 wt% Ni. What are the weight fractions of the alpha phase at A and the L phase at B, as well as the alpha phase/L phase ratio at C? T(°C) 1300 L (liquid) 1200 20 A B C L + a C1 S liquidus L + a solidus a (solid) 50 wt% Ni a. Walpha=0.21; WL=0.33; Walpha/WL = 13.17 b. Walpha=0.09; WL=0.32; Walpha/WL = 15.00 c. Walpha=0.07; WL=0.46; Walpha/WL = 11.17 d. Walpha=0.14; WL=0.37; Walpha/WL = 9.00arrow_forwardCalculate 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_forward
- QI/ Draw a thermal equilibrium diagram for the binary alloy system (Si –Au), from the following data:- a- Si melts at 1414 °C, and Au melts at 1064 °C , and identify all phases are present in the diagram. b- Eutectic is formed at 360°C containing 20 Wt% Si -80 Wt% Au . c- Determine the amount of each phase for the alloy which consist 60 Wt% Si- 40Wt % Au at 1200 °C and 800 °C ,then determine the amount of eutectic at 200 °C?arrow_forward2. a) How many kilograms of nickel must be added to 1.75 kg of copper to yield a liquidus temperature of 1300 °C? b) How many kilograms of nickel must be added to 5.43 kg of copper to yield a solidus temperature of 1200 °C? c) The solidus and liquidus temperatures for the copper-gold system are given here. Construct the phase diagram for this system and label each region. Composition (wt.% Au) Solidus Temperature (C) Liquidus Temperature (C) 1085 1085 1019 972 20 1042 996 946 40 60 934 80 911 911 90 928 942 95 974 984 100 1064 1064arrow_forwardReferring to Figure 1, please answer the following [NOTE: SHOW YOUR WORK on Figure 1]:a. provide the specific name for the phase boundary lines denoted by A and B. b. identify the phases present at equilibrium in the phase fields denoted by C, D, and E. c. identify the specific name for the point denoted by F. d. What is the maximum solid solubility of Mg in Al? At what temperature does it occur? e. An Al-Mg alloy (10 wt% Mg, 90 wt% Al) is heated slowly (to insure equilibrium) from a temperature of 200 C: i. At what temperature does the first liquid phase form? ii. What is the composition of the liquid phase at the temperature in part i.? iii. At what temperature does complete melting (no solid phase remaining) occur? iv. What is the composition of the last solid remaining prior to complete melting? f. Using the equilibrium phase diagram of Figure 1, identify the phases present, their compositions, and their relative mass fractions at equilibrium for a 70 wt% Mg – 30 wt% Al…arrow_forward
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