b) Figure 2 is the tin-gold phase diagram, for which only single-phase regions are labeled. Specify temperature composition points at which all eutectics, eutectoids, peritectics, and congruent phase transformations occur. Also, label the non-label regions (A,B,C,D,E,F,G,H). 1000 800 600 400 D. 200 20 40 60 80 100 (Au) (Sn) Composition (wt% Au) Figure 2 Tin-gold phase diagram Temperature ("C)

b) Figure 2 is the tin-gold phase diagram, for which only single-phase regions are labeled. Specify temperature composition points at which all eutectics, eutectoids, peritectics, and congruent phase transformations occur. Also, label the non-label regions (A,B,C,D,E,F,G,H). 1000 800 600 400 D. 200 20 40 60 80 100 (Au) (Sn) Composition (wt% Au) Figure 2 Tin-gold phase diagram Temperature ("C)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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b) Figure 2 is the tin-gold phase diagram, for which only single-phase regions are labeled. Write one (1) entectic point reaction and label all the non-label regions (i) - (viii). 1000 800 L (viii) Temperature (°C) 600 400 200 0 (Sn) (1) (v) B (vi) (iv) (ii) Y 8 20 40 60 80 Composition (wt% Au) Figure 2 Tin-gold phase diagram !(vii) T 100 (Au)
In 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! TOCL (liquid) 20 (a, solid) 30 A BCD E E 40 OOOOO 50 wt% Ni www CL= Ca= CL= Ca= CL= Ca= CL= Cu= C₁= Ca= W₁= Wa= WL= WQ= W₁= Wa= W₁= Wa= W₁= Wa= A B C D E
(a) What is the difference between the states of phase equilibrium and metastability? (b) Explain with the aid of neatly drawn binary phase diagrams the following terms? i. Isormophous phase diagram ii. Eutectic Isotherm iii. Peritectic point (c) in the Cu and Ag phase diagram shown in Figure 1.1, consider an alloy composition of 40 wt% Cu - 60 wt% Ag. Composton t RND 1200 20 GO 80 100 2200 2000 LIQUOLS 1000 Lquto :000 ... :600 8.0 :400 912 :200 G00 Somus :000 B00 400 G00 200 400 100 20 40 60 Composition wes AD Figure 1.1: Cu - Ag Phase Diagram i. What Phases are present in the Alloy at 800° C? i. What are the compositions of present phases if the alloy is cooled by 20° C? iii. What are the mass fraction of phases? If the alloy was further cooled by 2° C, determine the volume fraction of the phases? Take the densities of Cu and Ag as 8.96 and 10.49 g/cm' respectively. iv.
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
BINARY 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…
Consider the hypothetical eutectic phase diagram for metals A and B, which is similar to that for the lead-tin system, (shown in the figure below.) Assume that (1) a and B phases exist at the A and B extremities of the phase diagram, respectively; (2) the eutectic composition is 36 wt% A-64 wt% B; and (3) the composition of the a phase at the eutectic temperature is 88 wt% A-12 wt% B. Determine the composition of an alloy that will yield primary ßand total ß mass fractions of 0.357 and 0.764, respectively. Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a + L 200 B +L 400 183°C 18.3 61.9 97.8 300 100 a + B 200 100 20 40 60 80 100 (Pb) Composition (wt% Sn) (Sn) i 67.83 wt% B Temperature (°C) Temperature (F)
Refer to Figure 1 showing the phase diagram for the Fe-Fe3C system. Consider 1.0 kg of austenite containing 1.15 wt% C, cooled to below 727 C (1341 F). What is the proeutectoid phase? How many kilograms each of total ferrite and cementite form? How many kilograms each of pearlite and the proeutectoid phase form? Schematically sketch and label the resulting microstructure.
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?
A lead-tin (Pb-Sn) alloy of composition 50 wt % Sn and 50 wt % Pb is slowly heated from a temperature of 100 °C. 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? Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a + L 200 B+L 1400 183°C 18.3 61.9 97.8 300 100 a + B 200 H100 20 40 60 80 100 (Pb) Composition (wt% Sn) (Sn) Figure 1. Lead (Pb) and Tin (Sn) Phase diagram Temperature (°C) Temperature (°F)
Consider the binary eutectic copper-silver phase diagram shown below. Make phase analysis of a 80 wt % Ag–20 wt% Cu alloy at the temperatures (a) 900°C, and (b) 780°C-ΔT. In the phase analysis include: (I) phases present, (ii) chemical compositions of phases, (iii) mass fractions of phases, and (iv) sketch of microstructure.
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)
Phase Diagrams Question-1 (a) What is a binary isomorphous alloy system? (b) What are the four Hume-Rothery rules for the solid solubility of one element in another? (c) Describe how the liquidus and solidus of a binary isomorphous phase diagram can be determined experimentally. (d) Explain how a cored structure is produced in a 70% Cu-30% Ni alloy. How can the cored structure be eliminated by heat treatment?