Week 7-8 HW - phase diagrams

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Apr 3, 2024

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MSE 23000 Homework Assignment – Week 7-8 (13 pts) Phase Diagrams Over the next week, think about the following problems and provide your responses as prompted below using this document as a template . Responses can be typed and/or inserted as scans or images ( e.g. , of hand-written calculations or sketches). These questions are reflective of typical exam questions – hence, the students who complete their homework assignments are the best prepared for their upcoming exams. Additionally, you are encouraged to attempt all homework problems before attending your weekly recitation so that you are prepared to ask questions and seek guidance & hints from your recitation instructor. This assignment is worth 10 points and will be graded for completion only. Submit your assignment as a single PDF document by using the appropriate link on Brightspace. You may choose to complete this assignment independently or work in groups but all submitted responses must be unique/your own work. Correct responses will be discussed in your next recitation lecture. (1 pt) 1. Callister 4.8: What is the composition, in weight percent, of an alloy that consists of 6 at.% Pb and 94 at.% Sn? (1 pt) 2. Callister 4.9: Calculate the composition, in weight percent, of an alloy that contains 218.0 kg titanium, 14.6 kg aluminum, and 9.7 kg vanadium. Use the copper-nickel phase diagram to answer the following 3 questions. K
(2 pts) 3. Callister 9.9: Is 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 α 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. (2 pts) 4. Callister 9.11-Plus: A copper-nickel alloy of composition 70 wt.% Ni-30 wt.% Cu is slowly heated from a temperature of 1300°C. Answer the following questions: a. At what temperature does the first liquid phase form? b. And what is the composition of this first liquid phase? c. At what temperature does complete melting of the alloy occur? d. And what is the composition of the last solid remaining prior to complete melting? (2 pts) 5. Refer to point “K” in the copper-nickel alloy phase diagram. Assume that the mass of your alloy is 100 grams. a. What is the overall composition of the alloy, C o ? b. What phases are present? c. What is the composition of each phase? d. How much (mass) of each phase is present? Use the copper-silver phase diagram to answer the following 2 questions.
(1 pt) 6. Write the eutectic reaction for the copper-silver system. (see equation 9.8 in Callister) (3 pts) 7. For a copper-silver alloy of overall composition 30 wt.% Ag-70 wt.% Cu and at 775°C, do the following: a. Determine the composition of the α and β phases. b. Determine the relative amounts (mass fractions) of the total α and β phases. c. Determine the relative amount (mass fractions) of primary α ( α’ ). d. Determine the relative amount (mass fractions) of eutectic α ( α eutectic ). e. Create a simple sketch of the microstructure and label all phases.
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