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- 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.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?Use the Lead-Tin (Pb-Sn) phase diagram below to answer the following questions: Place the following microstructures in the correct order of formation for slowly cooling a 98 wt% Sn alloy from 300 °C to room temperature (point A to point B).
- 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.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?For the Cu-Ni phase diagram shown on the next page, determine the phases present at each of the overall compositions and temperatures indicated below. 30 wt%Ni, 1100°C 40 wt%Ni, 1400°C 50 wt%Ni, 1300°C Phases
- 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.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 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)
- (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?(a) Determine the composition of each phase at 1300C, 1250C, and 1200C temperatures. Indicate wt%Ni of the first solid to form and the last liquid to solidify. Show it on phase diagram below.From the phase diagram of the Fe-0.25wt%C alloy below, determine the phase fraction and elemental composition of the resulting phase immediately after solidification across the eutectoid line (725 C). a.alpha_eutectoid = 96.6 wt% and cementite = 29.85 wt% b.alpha_eutectoid = 96.6 wt% and cementite = 3.4 wt% c.alpha_eutectoid = 1.05 wt% and cementite = 29.85 wt% d.alpha_eutectoid = 29.85 wt% and cementite = 1.05 wt%