Ch10 - *TI89*#BOOKS#R#Ch10#.#Z# #BEB#,#H#0# # #,CH 10 -...

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**TI89**##BOOKS#############################################R###Ch10#########.##¥Z# ###- µBEB#,,,,#######H###¾######################ÿÿÿþ##ÿÿÿý##ÿÿÿü##ÿÿÿû##ÿÿÿú##0#####ÿÿÿú ####ÿÿÿû###############´ÿÿÿý####ÿÿÿû########### ´####ÿÿÿü####ÿÿÿû###########¼####ÿÿÿþ####ÿÿÿû###########Ä###,CH 10 - PHASE DIAGRAMS ================= 10.1 Given sugar-water solubility phase diagram: A) Amount of sugar dissolved? C_sugar(wt%) = m_sugar / (m_surgar+m_water)*100, m_sugar B) How much of the solid sugar will come out of solution upon cooling to T2? B C_sugar(wt%) = m'_sugar / (m'_surgar+m_water)*100, m_sugar so m''_sugar = m_sugar - m'_sugar s ================= = 10.6 Is it possible to have a copper_silver alloy that, at equilibrium, consists of an a phase of composition 4 wt% Ag_96 wt% Cu, and also a ß phase of composition 95 wt% Ag_5 wt% Cu? w ---->It is possible to have a Cu-Ag alloy, which at equilibrium consists of an a phase of composition 4 wt% Ag-96 wt% Cu and a ß phase of composition 95 wt% Ag-5 wt % Cu. From Figure 9.7 a horizontal tie can be constructed across the a + ß region at 690°C which intersects the a-(a + ß) phase boundary at 4 wt% Ag, and also the (a + ß)_ß phase boundary at 95 wt% Ag. + ================= = 10.7 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? ----> Upon cooling form 1400°C, the first solid phase forms at the temperature at which this vertical line intersects the L_(a + L) phase boundary. w (b) What is the composition of this solid phase? ---->The composition of this solid phase corresponds to the intersection with the L_(a + L) phase boundary, of a tie line constructed across the a + L phase region at 1320°C. a (c) At what temperature does the liquid solidify? ----> Complete solidification of the alloy occurs at the intersection of this same vertical line at 50 wt% Ni with the (a+ L)_a phase boundary. v (d) What is the composition of this last remaining liquid phase? ----> The composition of the last liquid phase remaining prior to complete solidification corresponds to the intersection with the L_(a+ L) boundary, of the tie line constructed across the a+ L phase region at 1270°C t ================= 9. Mg-Pb alloy of mass 7.5 kg consists of a solid a phase that has a composition just slightly below the solubility limit at 300°C (570°F). (a) What mass of lead is in the alloy? (b) If the alloy is heated to 400°C (750°F), how much more lead may be dissolved in the a phase without exceeding the solubility limit of this phase? i A) From graph: 17% Pb so 7.5(.17) = 1.3kg PB B) Heat to 400C -> 32% Pb B so C = m1/(m1+m2)*100 == 32 = (1.3+m_add)/(7.5+m_add) = 1.6 kg
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s ================= 11. Unk metals A and B, 70%A-30%B with .78 a, .22 b; 35%A-65%B with .36a, .64b Find composition of the phase boundary (or solubility limit) for both a and ß phases at this temperature. p W_a1 = .78 = (Cb - C01)/(Cb - Ca) = (Cb - 70)/(Cb - Ca)
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Ch10 - *TI89*#BOOKS#R#Ch10#.#Z# #BEB#,#H#0# # #,CH 10 -...

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