F2022_MATE202_A5_Solutions.pdf University of Alberta MAT E 202

MAT E 202 Assigned: Nov 2, 2022
Fall 2022 Assignment #5 Due: Nov 16, 2022


Department of Chemical and Materials Engineering




1. Define the following terms (2 marks each =14 total)


i) Phase - A homogeneous portion of matter that has uniform physical & chemical
characteristics.


ii) Eutectic - Literal meaning: Melting easily (in Greek). Eutectic reaction is a reaction wherein,
upon cooling, a liquid phase transforms isothermally and reversibly into two intimately mixed
solid phases.


iii) Eutectoid - Eutectoid reaction is a reaction wherein, upon cooling, one solid phase transforms
isothermally and reversibly into two intimately mixed solid phases


e) Liquidus - A boundary separating liquid and liquid + solid regions on a phase diagram. The
system is all liquid above this line


f) Solidus - A boundary on a phase diagram at which solidification is complete upon equilibrium
cooling, or at which melting begins upon equilibrium heating.


g) Solvus - Solvus line on a binary eutectic diagram separates a single phase solid from a dual
phase solid region.



h) Microconstituent - Element of the microstructure having an identifiable and characteristic
structure.




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, MAT E 202 Assigned: Nov 2, 2022
Fall 2022 Assignment #5 Due: Nov 16, 2022



2. Complete the following chart for the given overall compositions and temperatures
of interest (i.e., determine the PHASE CONSTIUTION which includes; phases present, their
individual chemical composition and the relative amount of each phase present. (2 marks each =
20 marks total). Note if the wt% Cu is 5 then the wt% Ag is 95 and so on and so forth.


Cu T Phase(s) Weight Fraction
(wt%) (°C) Present wt% Cu of each phase of each phase

5 900 (Ag), L C(Ag) = 3 wt% Cu W(Ag) = 50%
CL = 7 wt% Cu WL = 50%
5 400 (Ag), (Cu) C(Ag) = 1.5 wt% Cu W(Ag) = 96%
C(Cu) = 99 wt% Cu W(Cu) = 4%
15 800 (Ag), L C(Ag) = 8 wt% Cu W(Ag) = 53%
CL = 23 wt% Cu WL = 47%
28.1 780 L CL = 28.1 wt% Cu WL = 100%
28.1 778 (Ag), (Cu) C(Ag) = 8.8 wt% Cu W(Ag) = 77%
C(Cu) = 92 wt% Cu W(Cu) = 23%
28.1 400 (Ag), (Cu) C(Ag) = 1.5 wt% Cu W(Ag) = 73%
C(Cu) = 99 wt% Cu W(Cu) = 27%
50 780 (Cu), L C(Cu) = 92 wt% Cu W(Cu) = 34%
CL = 28.1 wt% Cu WL = 66%
60 778 (Ag), (Cu) C(Ag) = 8.8 wt% Cu W(Ag) = 38 %
C(Cu) = 92 wt% Cu W(Cu) = 62 %
95 778 (Cu) C(Cu) = 95 wt% Cu W(Cu) = 100 %
95 400 (Ag), (Cu) C(Ag) = 1.5 wt% Cu W(Ag) = 4 %
C(Cu) = 99 wt% Cu W(Cu) = 96 %




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