Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Textbook Question
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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Question:
Construct the hypothetical phase diagram for metals A and B between room temperature (20°C) and 700°C given the following information:
The melting temperature of metal A is 480°C.
The maximum solubility of B in A is 4 wt% B, which occurs at 420°C.
The solubility of B in A at room temperature is 0 wt% B.
One eutectic occurs at 420°C and 18 wt% B–82 wt% A.
A second eutectic occurs at 475°C and 42 wt% B–58 wt% A.
The intermetallic compound AB exists at a composition of 30 wt% B–70 wt% A, and melts congruently at 525°C.
The melting temperature of metal B is 600°C.
The maximum solubility of A in B is 13 wt% A, which occurs at 475°C.
● The solubility of A in B at room temperature is 3 wt% A.
For the metals A and B, which are given below, create the hypothetical phase diagram between 500 ° C and 900 ° C temperatures.Ø A metal has a melting temperature of 840 ° C.The solubility of Ø B in A can be ignored at all temperatures.Ø Melting temperature of Metal B is 730 ° C.The maximum solubility of A in Ø B is 10% A by weight, which occurs at 600 ° C.At 500 ° C, the solubility of A in B is 6% A by weight.Ø An eutectic 600 ° C and 74% B by weight - 26% by weight A are formed.Ø The second eutectic occurs at 630 ° C and 59% B - 41% A by weight.Ø A third eutectic occurs at 655 ° C and 39% B - 61% A by weight.Ø A congress melting point is formed at 680 ° C and 52% B - 48% A by weight.Ø A second congress melting point is formed at 655 ° C and 66% B - 34% A by weight.Ø Intermetallic compound AB is present at 52 wt% B - 48 wt% A.Ø Intermetallic compound AB2 is present at 66 wt% B to 34 wt% A.
Chapter 8 Solutions
Foundations of Materials Science and Engineering
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