Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 8.15, Problem 68SEP
Draw the hypothetical phase diagram for a binary system of metals A and B with limited solubility in each other. The following information is given:
Melt temperature of metal A is 327°C.
Melt temperature of metal B is 225°C.
A invariant reaction in which liquid upon cooling transforms simultaneously into a mixture of two solid phases occurs at 185°C.
At the invariant reaction point, the alloy contains 62 wt% metal A.
The maximum solubility of metal B in metal A is 20 wt% at a temperature of 185°C. The maximum solubility of metal A in metal B is 2.5 wt% at a temperature of 185°C.
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Use the phase diagrams for Cu-Ni and Cu-Ag systems below to answer the question:
Use the diagrams provided to determine the values of the following: i. Solubility of Ni in Cu at 1050 °F. ii. Solubility of Ag in Cu at 700 °F.iii. Solubility of Cu in Ni at 1300 °F. iv. Solubility of Cu in Ag at 400 °F.
Given a binary phase diagram, the composition of an alloy, and its temperature, and assuming that the alloy is at equilibrium, how would you determine:
what phase(s) is (are) present,
the composition(s) of the phase(s), and
the mass fraction(s) of the phase(s).
For two hypotetical materials which have limitless solubility for both in the “liquid” and “solid” states in each other, the following data are listed. Melting Temperatures of material A and B are Tm,A and Tm,B respectively, Liquidus and Solidus curves are circular arcs.
a- Draw the related “Phase Diagram” of Material A and Material B showing the data given and calculated.
b- Calculate/Determine the compositions of phases at T2 , explain the procedure.
c- Calculate/Determine the “percentages” of “phases” of Alloy,2 at T2 , explain the procedure.
Given:
-Tm,A, Celcius =530
-Tm,B, Celcius =830
-T1, Celcius =630
-B percentage of Liquid phase at
T1 =35
-B percentage of Solid phase
at T1 =80
-B percentage of Alloy 2. =60
-T2, Celcius =680
-B percentage of Liquid phase of
Alloy 2 at T2 = to be calculated
-B percentage of Solid phase of
Alloy 2 at T2 = to be calculated
Chapter 8 Solutions
Foundations of Materials Science and Engineering
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