Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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A 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?
Expert Solution
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Step 1
From the given figure, the first phase liquid form occurs at 184ͦ C which is where the eutectic isotherm is intersected by a vertical line of the composition.
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- Referring 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_forwardGiven the equilibrium phase diagram (a) below, briefly describe the mechanisms of precipitation hardening/strengthening of an aluminium alloy making reference to the transitions shown in (b) below to X, X to A, X to D, A to B and A to C. а +0 D B Time (a) (b) - anedua Temperaturearrow_forwardIs it possible to have a copper-nickel alloy that, at equilibrium, consists of a liquid phase of composition 20 wt% Ni-80 wt% Cu and also an a phase of composition 37 wt% Ni-63 wt% Cu? If so, what will be the approximate temperature of the alloy? If this is not possible, explain why. Temperature (°C) 1600 1500 1400 1300 1200 1100 1000 0 1085°C (Cu) 20 Liquid Liquidus line L B 40 a+L a A 60 Composition (wt% Ni) (a) 1455°C Solidus line 80 2800 2600 2400 2200 2000 100 (Ni) Temperature (°F) Temperature (°C) 1300 1200 20 Liquid Tie line. a + Liquid a 1 KR I 1 1 B ↑ Co a + Liquid -S 30 CL Composition (wt% Ni) (b) 40 1 Ca a 50arrow_forward
- For the lead-tin system:(a) Determine the proportions of liquid and solid phases for the 40% Sn composition ofthe lead-tin system at temperatures 2500?, 2000?, ??? 1500?. (b) Draw the development of microstructure along the dashed line at points A,B,C, andD.arrow_forwardCorrect and complete solution pleasearrow_forwardMaterial science Assuming this system forms a laminar type eutectic, determine the volume proportion of phases for an equilibrium solidified 50% Pb alloy. Sketch the expected microstructure.arrow_forward
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