Materials Science Engineering; Equilibrium Phase Diagram Using the Fe-Fe3C equilibrium phase diagram (Fig. 1), sketch themicrostructure and calculate the fraction of all phases present in a steelcontaining 0.5 wt% carbon that:(a) is held at 1200 °C(b) and is then slowly cooled to 728°C(c) after which it is slowly cooled to 600 °C(d) Why is martensite not present on the binary phase diagram shown below?Temperature (°C)16001538°C1493°CComposition (at% C)51015202514001394°CY+L120025001147°C2.144.30y, Austenite20001000800912°Cα+Y0.766000.022a, Ferrite4000(Fe)a + Fe3Cy+ Fe3C727°C235Composition (wt% C)Figure 1. Equilibrium Fe-C Phase Diagram1500Cementite (Fe3C)1000606.70Temperature (°F)

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Answered: Using the Fe-Fe3C equilibrium phase…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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4. The figure below shows the phase diagram for a hypereutectoid plain carbon steel. Assume that point c is slightly above 723 °C and point d is slightly below 723 °C. i. Explain the structure at points a, b, c, and d on the diagram. ii. Determine the wt% of proeutectoid cementite at point c. iii. Determine the wt% of eutectoid cementite at point d. Temperature (°C) 1100 900 700 500 300 100 a + Y R 0 100% Fe 0.02 1.0 Fe, C 1.2 2.0 Fe,C Fe, C Pearlite 3.0 4.0 Weight percent carbon y+ Fe, C 723°C a + Fe, C 1 5.0 Fe,C 1 6.0 6.7
A hypo-eutectoid steel with composition of 0.5% carbon is heated to 1000°. Using the a iron-carbon phase diagram (also found in the course book, or here https://commons.wikimedia.org/wiki/File:Iron_carbon_phase_diagram.svg (Links to an external site.) (Links to an external site.)) answer the following questions. (a) What phase or phases will be present at 950°C? (b) If temperature is lowered from 950°C, at which temperature (estimate) α phase (Ferrite) will appear? (c) Use the lever rule to estimate how much (wt%) ferrite and how much austenite will exist just above 727 °C? (d) What happens to the austenite if the temperature is lowered below 727 °C? (e) Schematically sketch and label the resulting microstructure.
The following questions are based on a high carbon steel with a composition of 1,5% C and 98,5% Fe. Please refer to the Fe-Fe3C binary phase diagram in Callister and Rethwhich 1) a Name the phases present and calculate the amounts of these phases just above the eutectoid temperature b, Give the amount of austenite present at 1100°C. c. Give the amount of pro-eutectoid ferrite just above the eutectoid temperature. d. With equilibrium cooling just below the eutectoid temperature calculate the total ferrite. e. Why must the samples be quenched rapidly to obtain high hardness?
Q1 / Two metals Beryllium (Be) and Silicon (Si) have melting points 1282°C and 1414 °C respectively, are completely soluble as liquids but completely insoluble as solids . They form a eutectic at 1090°C containing 61 wt% Si -39wt% Be? Determine the following:- 1- Draw the thermal equilibrium phase diagram and identify all phases are present in diagram ,then sketches what happens in microstructure when the alloys containing , a- 10wt% Si, b-70wt%Si , solidify completely. 2- Determine the composition and the amount of each phase for the alloy which contain 15 wt% Si-85wt% Be at 1150°C If the alloy is hypoeutectic determine the amount of eutectic at 600 °C? or hypereutectic and
4b) Figure 6 shows the Fe-Fe3C phase diagram. Evaluate (i) the temperature at which austenite first begins to transform on cooling; (ii) the primary microconstituent that forms; (iii) the composition and amount of each phase present at 728°C; (iv) the composition and amount of each phase present at 726°C; (v) Sketch the evolution of the microstructures of hypereutectoid steels with 1.1 wt% of carbon during the cooling in relationship to Fe-Fe3C phase diagram shown at 900°C, 800°C and 500°C, respectively.
1-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)
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? (i) (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 700 8 600 500 400 800 0 A 760 °C Line B W a /9.5 20 Line A a + L 650 °C 40 Liquid (L) wt%B Figure B1 52.5 a + ß 60 B+L 80 93.7 B 100 B
Copper-rich copper-beryllium alloys are precipitation hardenable. After consulting the portion of the phase diagram shown in Figure below, do the following: Composition (at% Be) 10 15 20 Liquid 1000 866°C 800 -620°C 600 a+ 400 2 3. (Cu) Composition (wt% Bo) (1) Indicate the range of compositions over which these alloys be precipitation hardened. (ii) Describe the heat-treatment procedures (in terms of temperatures) that would be used to precipitation harden an alloy having a composition of your choosing but lying within the range given for part (i). Temperature ("O
For 40 wt% Sn – 60 wt% Pb alloy at 150 oC (at point B) as shown in Figure, i. State the name of phase(s) present. ii. Calculate the composition(s) of the phase(s) present. 600 300 Liquid 500 a+L 200 400 300 100 200 100 20 60 100 (Pb) (Sn) Composition (wt % Sn) Temperature ("C) Temperature ("F)
Can you draw on the sketch and show all steps
1. What percentage of total Fe 3 C is present in a steel with 1.15 wt% C at 726.9 o C? 2. What percentage of eutectoid Fe3C is present in a steel with 1.15 wt% carbon at 726.9 o C? 3.
For a 64 wt% Zn-36 wt% Cu alloy, make schematic sketches of the microstructure that would be observed for conditions of very slow cooling at the following temperatures: 900°C (1650 F), 820°C (1510 F), 750°C (1380°F), and 600°C (1100 F). Label all phases and indicate their approximate compositions.

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