hw_5_solutions - Homework Thermal Properties and Phase...

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Homework: Thermal Properties and Phase Diagrams Review Date: 1. What are the eutectic temperature and the eutectic composition? a. Fill in the phases in the missing regions. b. What phases are present at points A, B, C, and D? What is their relative amount? What is their individual composition? What is the overall composition? c. A 100g solid sample is found to have 40g of bismuth by mass at 50°C. How many phases are present in this solid mixture? If more than one, find the composition of each. d. A 100g liquid solution at 250°C is found to have 70g bismuth. Label the point on the diagram. If one wants to remove 30g of bismuth completely, how much would one need to cool the solution? e. What are the melting points of bismuth and tin? Solution:
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1. Consult diagram where appropriate a. See diagram b. See diagram for tie-lines. Phase Present Composition of each phase [read the intersection of tie line with phase boundaries] Relative amount of each phase A + Bi is 8% bismuth Bi is 100% bismuth Use the tie-line to determine relative distance; see diagram Point A is at 24 Left intersection is at 8 Right intersection is at 100 Overall length=92 Length of left segment = 24-8= 16 Length of right segment = 100-24= 76 Thus: ܤ݅ = ݈݂݁ݐ ݏ݁݃݉݁݊ݐ ݐ݋ݐ݈ܽ ݈݁݊݃ݐℎ = 16 92 = 0.174 = 17.4% ߚ = ௥௜௚௛௧ ௧௢௧௔௟ = ଻଺
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