Use the copper silver phase diagram below. 100g of a 40 wt% Cu 60 wt% Ag alloy is made and cooled from liquid form. a. At what temperature does the solid phase start to appear? b. What phases exist at 780°C? c. What are the compositions (Cu and Ag%) of the phases in question b? d. What are the weights (in g) of Cu in the solid phase and liquid phase in question b?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Use the copper silver phase diagram below. 100g of a 40 wt% Cu 60 wt% Ag alloy is made and cooled from liquid
form.
a. At what temperature does the solid phase start to appear?
b. What phases exist at 780°C?
c. What are the compositions (Cu and Ag%) of the phases in question b?
d. What are the weights (in g) of Cu in the solid phase and liquid phase in question b? 

Temperature (°C)
1200
A
1000
800
600
400
200
α
C
(Cu)
B
8.0
(Ca E)
-Solidus
Solvus
20
20
a + L
Composition (at% Ag)
-Liquidus
779°C (TE)
40
40
α+β
Liquid
60
Composition (wt% Ag)
60
71.9
(CE)
80
80
B+L
91.2
(CBE)
G
100
B
H
2200
2000
1800
F
1600
1400
1200
1000
800
600
400
100
(Ag)
Temperature (°F)
Transcribed Image Text:Temperature (°C) 1200 A 1000 800 600 400 200 α C (Cu) B 8.0 (Ca E) -Solidus Solvus 20 20 a + L Composition (at% Ag) -Liquidus 779°C (TE) 40 40 α+β Liquid 60 Composition (wt% Ag) 60 71.9 (CE) 80 80 B+L 91.2 (CBE) G 100 B H 2200 2000 1800 F 1600 1400 1200 1000 800 600 400 100 (Ag) Temperature (°F)
Expert Solution
Step 1

To solve this problem, we will use the copper silver phase diagram, which shows the phases of copper and silver alloys as a function of temperature and composition.

(a) To find the temperature at which the solid phase starts to appear, we need to locate the liquidus line on the phase diagram. The liquidus line separates the liquid phase from the two-phase region where both liquid and solid phases are present. For a 40 wt% Cu, 60 wt% Ag alloy, we find the point on the phase diagram where the 40 wt% Cu composition intersects with the liquidus line. This occurs at approximately 770°C, so the solid phase will start to appear at this temperature.

(b) To determine the phases that exist at 780°C, we need to locate the point on the phase diagram where the temperature is 780°C and determine which regions it falls within. At 780°C, the alloy composition of 40 wt% Cu and 60 wt% Ag falls within the two-phase region consisting of the α solid phase and the α + liquid two-phase region.

 

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