Materials for Civil and Construction Engineers (4th Edition)
4th Edition
ISBN: 9780134320533
Author: Michael S. Mamlouk, John P. Zaniewski
Publisher: PEARSON
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Chapter 2, Problem 2.29QP
To determine
Find the masses of the alloy in the liquid phase and solid phase.
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Considering an alloy of the two soluble components A and B described by a phase diagram Figure P2.31, determine the masses of the alloy that are in the liquid and solid phases at a given temperature if the total mass of the alloy is 100 g, component B represents 60% of the alloy, 25% of the liquid is component B, and 70% of solid is component B.
Considering an alloy of the two soluble components A and B described by a phase diagram similar to that shown in Figure 2.14, determine the masses of the alloy that are in the liquid and solid phases at a given temperature if the total mass of the alloy is 100 g, component B represents 40% of the alloy, 20% of the liquid is component B, and 70% of solid is component B.
This question is answered on here but I don't get how to get from step 3 to step 4 math wise. it goes from 20*ml + 70Ms=40x100 to solving simultaneously
Ml= 60g
Ms= 40g
Trying to figre out how the math works to get to the final answer
Given a Cu-Ag alloy with a bulk composition of 30wt% Ag, answer the following:
a. At what temperature does the first solid start to form?
units:
units:
units:
b. What is the elemental composition of this solid phase when it first appears?
c. At what temperature does the material become fully solid?
d. What is the elemental composition of the very last portion of liquid that is present just before the
system fully transforms to solid?
Temperature (°C)
1200
1000
800
A
α
B
8.0
(CE)
units:
Composition (at% Ag)
20
40
60
80
100
2200
-Liquidus
Liquid
2000
-Solidus
a +L
1800
F
1600
779°C (TE)
B+L
E
G
71.9
91.2
1400
β
(CE)
(CBE)
600
Solvus
α + β
400
C
200
0
20
40
(Cu)
1200
1000
800
600
H
400
60
80
100
(Ag)
Composition (wt% Ag)
Temperature (°F)
Chapter 2 Solutions
Materials for Civil and Construction Engineers (4th Edition)
Ch. 2 - Define elastic and plastic behaviors at the micro...Ch. 2 - Prob. 2.2QPCh. 2 - Prob. 2.3QPCh. 2 - Describe the order in which electrons fill the...Ch. 2 - Prob. 2.5QPCh. 2 - Why do atoms maintain specific separations?Ch. 2 - Prob. 2.7QPCh. 2 - Prob. 2.8QPCh. 2 - Prob. 2.9QPCh. 2 - Two hypothetical metals are created with different...
Ch. 2 - Prob. 2.11QPCh. 2 - Prob. 2.12QPCh. 2 - Prob. 2.13QPCh. 2 - Prob. 2.14QPCh. 2 - Prob. 2.15QPCh. 2 - Prob. 2.16QPCh. 2 - Prob. 2.17QPCh. 2 - Determine the density of a hypothetical BCC metal...Ch. 2 - Determine the density of a hypothetical FCC metal...Ch. 2 - Prob. 2.20QPCh. 2 - Prob. 2.21QPCh. 2 - Prob. 2.22QPCh. 2 - Prob. 2.23QPCh. 2 - Prob. 2.24QPCh. 2 - Prob. 2.25QPCh. 2 - Prob. 2.26QPCh. 2 - Prob. 2.27QPCh. 2 - Prob. 2.28QPCh. 2 - Prob. 2.29QPCh. 2 - Prob. 2.30QPCh. 2 - Prob. 2.31QPCh. 2 - Prob. 2.32QPCh. 2 - Prob. 2.33QPCh. 2 - Prob. 2.34QPCh. 2 - Prob. 2.35QPCh. 2 - Prob. 2.36QP
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