HW Assignment #7 MS201 Sp24 (due Tu Mar 26) (1)

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Illinois Institute Of Technology *

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201

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Material Science

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Apr 3, 2024

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MS201 Sp 24 Homework Assignment #7 Due Tue March 26, 2024 2 p.m.. Ch.9 (Topic 8) PHASE DIAGRAMS #1. (C&R9.1) Consider the sugar–water phase diagram of Figure 9.1. (a) How much sugar will dissolve in 1000 g of water at 80°C (176°F)? (wt%) = x 100 𝐶 ??𝑔𝑎? 𝑚 ??𝑔𝑎? 𝑚 ??𝑔𝑎? +𝑚 𝑤𝑎?𝑒? → 77(wt%) = x 100 = 5022 grams of sugar 𝑚 ??𝑔𝑎? 𝑚 ??𝑔𝑎? +1500 (b) If the saturated liquid solution in part (a) is cooled to 20°C (68°F), some of the sugar will precipitate out as a solid. What will be the composition of the saturated liquid solution (in wt% sugar) at 20°C? = 64 wt% sugar. (c) How much of the solid sugar will come out of solution upon cooling to 20°C? (wt%) = x 100 𝐶 ??𝑔𝑎? 𝑚 ??𝑔𝑎? 𝑚 ??𝑔𝑎? +𝑚 𝑤𝑎?𝑒? → 64(wt%) = x 100 = 2667g → 5022 – 2667 = 2355 grams of sugar 𝑚 ??𝑔𝑎? 𝑚 ??𝑔𝑎? +1500 #2. (C&R9.13) A lead–tin alloy of composition 30 wt% Sn–70 wt% Pb is slowly heated from a temperature of 150°C (300°F). (a) At what temperature does the first liquid phase form? – At 183C (b) What is the composition of this liquid phase? – 61.9 wt% Sn (c) At what temperature does complete melting of the alloy occur? – At 260C (d) What is the composition of the last solid remaining? – 13 wt% Sn 1
#3. (C&R9.14) A 50 wt% Ni–50 wt% Cu alloy is slowly cooled from 1400°C (2550°F) to 1200°C (2190°F). (a) At what temperature does the first solid phase form? – 1320C (b) What is the composition of this solid phase? – 38% Sn (c) At what temperature does the liquid solidify? – 1270C (d) What is the composition of this last remaining liquid phase? – 63% Sn 2
#4. (C&R9.15) A copper-zinc alloy of composition 75 wt% Zn-25 wt% Cu (Fig. 9.19 C&R) is slowly heated from room temperature. (a) At what temperature does the first liquid phase form? – ~640C (b) What is the composition of this liquid phase? – ~85 wt% Zn (c) At what temperature does complete melting of the alloy occur? – ~ 760C (d) What is the composition of the last solid remaining prior to complete melting? – 65 wt% Zn #5. (C&R9.16) For an alloy of composition 52 wt% Zn–48 wt% Cu, cite the phases present and their mass fractions at the following temperatures: 1000°C, 800°C, 500°C, and 300°C. 3
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