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- Figure 2 refers to the phase diagram for silver and tin. Label the regions (1) to (5) Temperature, 0/°C 1000 800 600 400 200 0 Liquid 2 Ag,Sn 60 a 20 40 80 Mass percentage Ag/% 100 Question 6: What will be observed when liquids of composition of 40% Ag are cooled to 200 K? When will it begin to precipitate? When will it become solid?Phase Diagram A/ The lead and tin are partially dissolved in each other in solid state although they completely dissolved in liguid state. They form eutectic from solid solutions alfa (a) and beta (B) at alloying composition 62% tin and 38% lead, the eutectic forming temperature is 184oC. Alfa contained 20% tin dissolved in 80% lead at 1840C while beta consist of lead dissolved in tin at 1840C. If the 100 g of eutectic contained 45.5 g of alfa at 1840C. The melting temperatures of lead and tin are 3290C and 2320C respectively, and the solubility of tin and lead in each other's diminished to zero at room temperature. Plot the phase diagram for lead- tin system label all phases and temperature. Show graphically the temperature of the formation of the first solid for 42% lead alloyWhich line on the above phase diagram corresponds to the Solid-Liquid transition? Answer
- 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…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…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.
- (a) Sketch a Pressure-Temperature phase diagram for a pure substance X where liquid X is less dense than solid X. Insert an isobar at 1 atm and an isotherm at 300 K. Clearly label all physical states, triple point, critical temperature and any normal transition temperatures.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(c) 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). Calculate the relative amount of each phase present at 183 °C in terms of the mass iii. fraction. iv. Sketch with labels the microstructure of the alloy at the temperature of 183 °C - AT.
- 5. For 40 wt% Sn – 60 wt% Pb alloy at 150 oC (at point B) as shown in Figure, ii. Calculate the composition(s) of the phase(s) present. iii. Calculate the amount of each phase present in terms of mass fraction. 600 300 Liquid 500 a+L 200 400 300 100 200 100 20 60 80 100 (Pb) (Sn) Composition (wt% Sn) Temperature ("C) Temperat ure ("F)3) You see Al-Cu phase diagram below and two microstructures (A and B) having the same nominal composition of 3 percent Cu. In these microstructures, matrix is a and spheres refer to CuAl₂ particles. In A and B, the size of big particles are the same. a) For the same volume constant, if we heat treat the both microstructures at T₁ for a long time, is there any changes in both microstructures? If so, what is that? And is the changes the same for both A and B? Is the rate of changes the same for A and B? Draw the final microstructures of A and B if any changes occur you think so. Temperature a AI 2 I 4 a +CuAl2 1 6 Copper,% CuAl2 αIn 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 E