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Use the following is the equilibrium phase diagram for the iron-carbon system to answer the following questions. (Please round compositions to the nearest 0.1

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Use the following is the equilibrium phase diagram for the iron-carbon system to answer the following questions. (Please round compositions to the nearest 0.1 wt.% in your answers and calculations) Temperature (C) Composition lat% C) 10 1600 1535 C 1493 C 1400 1200 HRD 20 25 0092 1147 C 2.14 4.30 y, Austenite 2000 1000 800 912 C y+ FeC 1500 0.76 0.022 600 Ferrite FeC Cementite (Fe C 1000 100 (Fe) Composition wt% C) 6.70 Temperature (F) a) A 0.39 wt% plain carbon steel undergoes full anneal. Describe all phases present, their weight fractions and their compositions after the full anneal. (If any phase is present in both proeutectoid and eutectoid forms, please separate them for the calculation.) Sketch the microstructure. (18 pts) b) Is this concentration (2 pts) a. Hypoeutectoid b. Hypereutectoid c. Eutectoid d. Eutectic e. Hypereutectic c) Would the composition of the proeutectoid phase be different than the eutectoid phase? Why? (4 pts)

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Solutions Step 1 Analysis of System a 1 Jacobian Matrix The Jacobian matrix J of a system of differential equations is a matrix that contains all the ... blur-text-image

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