(b) Explain with the aid of neatly drawn binary phase diagrams the following terms? i. Isormophous phase diagram ii. Eutectic Isotherm iii. Peritectic point
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- (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.The 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)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)
- 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 presentFor 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 60Phase Diagrams: You are given the lead tin (Pb-Sn) phase diagram. Below the eutectic isotherm is identified as the two phase region a + B. a) At 30wt % Sn, in the circles below draw the microscopic observations evolving at 3000C, 2250C, and 1000C for this hypoeutectic alloy. b) At a temperature just above the isotherm at 1830C, for the 30 wt% Sn Alloy, calculate the fractions of each phase present at equilibrium and the corresponding composition of each phase.
- 1) Given the following information construct a hypothetical phase diagram formetals A and B between the temperatures of 400 and 800 o C given the followinginformation The two end member components are A and B The bottom axis should given in mol% B with 100 mol% B being on the right sideof the diagram. The melting temperature of metal A is 750 o C. The melting temperature of metal B is 700 o C. One eutectic occurs at 600 o C and 75 mol% B. The maximum solubility of A in B is 15 mol% A, and occurs 600 o C.The maximum solubility of B in A is 10 mol% B and occurs 600 o C. 2) Label all regions on the phase diagram 3) Sketch representations of the equilibrium microstructures for the phase diagramabove, for an A-B alloy of the eutectic composition at 750 and 500 o CBINARY 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…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)
- Construct the hy pothetical phase diagram for metal A and B between temperature of 600 C° and 1000 C° given the following information: The melting point of A is 940 Cº. The solubility of B in A is negligible at all temperatures The melting point of metal B is 830 Cº. The maximum solubility of A in B is 12%A, which occurs at 700 Co. At 600 C°, the solubility of A in B is 8%A. One eutectic occurs at 700 C° and 75%B. A second eutectic occurs at 730 C° and 60%B. A third eutectic occurs at 755 C° and 40%B. One congruent melting point occurs at 780 C° and 51%B. A second congruent melting point occurs at 755 C° and 67%B. There exist two intermetallic compounds: AB at 51%B and AB2 at 67%B. Note all composition are in weight percent.Using the following table, draw a melting point diagram and estimate the eutectic temperature and composition: Percent composition Melting point range (°C) 100% A 125-126 75% A-25% B 115-120 65% A- 35% B 128-131 50% A- 50% B 135-140 100% B 151-152 Can you suggest what additional points you need to give a more accurate measure of the eutectic point?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)