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You need help with these 3 problems to be answered correctly and with an explinations and steps.There are two pictures with three questions, please look and understand them before contacting me as well.

1. An alloy at 1000°C is 3%  carbon by weigm. what are me compositions and fractions of austenite (γ) and cementite (iron carbide) in the mixture?

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2. For lead-tin (Pb-Sn) alloy, answer the following questions. Use the space provided below to show all calculations and to answer the questions. For full credit, the phase diagram MUST be clearly marked to help communicate your answers where appropriate. Use a straight edge.

a) If the microstructure of a Pb-Sn alloy at 185°C is composed of 75wt% α and 25wt% liquid, approximately what is the overall composition of the alloy?

b) For the same alloy discussed in part (a) above, if the alloy was cooled from 185°C to 180°C, what would the weight percentage be of primary a and of eutectic structure?

c) For an alloy that is 90wt%Sn, 10wt%Pb, what phases are present at 200°C, and what are their compositions?

d) What is the temperature difference between melting point of pure tin (Sn) and a eutectic composition Pb-Sn alloy?

3. A cylindrical rod of 1040 steel originally 27 [mm] in diameter is to be cold-worked by drawing into wire, maintaining the circular cross section. A cold-worked yield strength in excess of 700 [MPa] and a ductility of at least 14%EL are desired. Furthermore, the final diameter must be 8 [mm] Explain how this can be accomplished. (Hint: % Cold Work Problem)

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