Degarmo's Materials And Processes In Manufacturing
13th Edition
ISBN: 9781119492825
Author: Black, J. Temple, Kohser, Ronald A., Author.
Publisher: Wiley,
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 4, Problem 17RQ
What points on a tie�line are used to determine the chemistry (or composition) of the component phases?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents 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
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% Sn
Consider 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% Ni
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
Knowledge Booster
Learn more about
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
- 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 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_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_forward
- Consider 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_forwardUsing the Mg-Pb phase diagram below, if you start at point A and cool down very slowly to room temperature (point D), sketch the microstructure associated with each letter, determine what phases are present at each letter, determine the compositions for each phase, and determine the weight in each phase. The Mg-Pb mixture has 20 wt. % Pb in it. You start with 100 kg.arrow_forwardQI/ 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_forward
- Suppose an alloy consists of a 75 wt% Sn-25 wt% Pb. i. List the phases present in the alloy at 185 °C. ii. Determine the composition of the phases present in (i). iii. Calculate the relative amount of each phase present at 183 °C in terms of the mass fraction. iv. Sketch with labels the microstructure of the alloy at the temperature of 183 °C – ΔΤ.arrow_forwardThe 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_forward1.b. By using the Iron-Carbon (Fe-C) phase diagram provided herein, answer the following questions. Re-sketch the relevant portions of the diagram in answering the questions if you believe it is convenient. You may mark your answers on the provided phase diagram as well. Show all you workings and give clear but short explanations in your bluebook whenever needed. a) Identify all phase marked on the phase diagram. What are the reactions below 1200 °C in the Fe-C system? Write down the reactions, including the temperature at which they occur and the % of carbon of each phases participating in the reactions. b) What is the melting point of pure Fe? What is the melting temperature of Fe containing 4.3% carbon? What is the temperature at which &-Fe transforms to y-Fe? c) Trace the crystallization path of alloys A, B, and C on the phase diagram. You may re-sketch the relevant portion of the phase diagram to mark the crystallization path of each alloy clearly if you wish to do so. d)…arrow_forward
- 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…arrow_forwardBINARY 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_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! 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Intro to Ceramics and Glasses — Lesson 2, Part 1; Author: Ansys Learning;https://www.youtube.com/watch?v=ArDFnBWH-8w;License: Standard Youtube License