Solid Solutions, Weekly Quiz, Solution Outlines | Answer Key - Edubirdie

University:
Massachusetts Institute of Technology
Course:
3.091SC | Introduction to Solid State Chemistry
Academic year:

2023
Views:

135

Pages:

2
Author:

Azul Sellers

Self-Assessment: Solid Solutions Weekly Quiz: Solution Outlines (a) Construct the phase diagram (T,c) for Ag-Cu given the following data. (Assume all phase lines to be straight.) TM Ag: 960°C TM Cu: 1080°C TE (Eutectic) 780°C: α [9 wt.% Cu]; β [92 wt.% Cu]; Eutectic comp. 28 wt.% Cu 400°C: α [1 wt.% Cu]; β [100 wt.% Cu] 40 w/o Cu 960 1080 L(iquid) L+ β α 780 L+ α β 800 α+β 600 600 400 400 0 (Ag) 20 40 60 80 w/o Cu (b) Determine the liquidus temperature for a 60 wt.%Ag – 40 wt.% Cu alloy. From the phase diagram in (a) liquidus T for 40 wt.% Cu alloy is � 840 oC 100 Cu (c) Determine which other Ag-Cu alloy composition has the same liquidus temperature as the one determined in (b). From phase diagram in Prob. 3, other composition with same liquidus T is � 20 wt.% Cu (d) 26 g of sterling silver (92.5 wt.% Ag – 7.5 wt.% Cu) are melted together with 376 g of pure copper (Cu). Given the phase diagram for Ag-Cu, determine: (i) the liquidus temperature for the alloy formed; (ii) the solidus temperature for this alloy; (iii) the composition of the alloy formed. (i) From phase diagram in part (a), liquidus T �1060 oC (ii) From phase diagram in part (a), solidus T � 870 oC (iii) 26 g of Sterling Silver has (26)(0.925) = 24.05 g Ag and (26)(0.075) = 1.95 g Cu. Total Cu = 1.95 + 376 = 378 g. 378 g Cu wt.% Cu � � 94 24 g Ag � 378 g Cu

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