Chapter 9: Problem 51
What is the principal difference between congruent and incongruent phase transformations?
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Chapter 9: Problem 51
What is the principal difference between congruent and incongruent phase transformations?
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A steel alloy contains \(95.7 \mathrm{wt} \% \mathrm{Fe}, 4.0 \mathrm{wt} \% \mathrm{~W}\), and \(0.3 \mathrm{wt} \% \mathrm{C}\). (a) What is the eutectoid temperature of this alloy? (b) What is the eutectoid composition? (c) What is the proeutectoid phase? Assume that there are no changes in the positions of other phase boundaries with the addition of \(\mathrm{W}\).
For alloys of two hypothetical metals \(\mathrm{A}\) and \(\mathrm{B}\), there exist an \(\alpha\), A-rich phase and a \(\beta\), B-rich phase. From the mass fractions of both phases for two different alloys provided in the following table (which are at the same temperature), determine the composition of the phase boundary (or solubility limit) for both \(\alpha\) and \(\beta\) phases at this temperature. $$ \begin{array}{lcc} \hline \begin{array}{c} \text { Alloy } \\ \text { Composition } \end{array} & \begin{array}{c} \text { Fraction } \\ \boldsymbol{\alpha} \text { Phase } \end{array} & \text { Fraction } \\ \hline 70 \mathrm{wt} \% \mathrm{~A}-30 \mathrm{wt} \% \mathrm{~B} & 0.78 & 0.22 \\ \hline 35 \mathrm{wt} \% \mathrm{~A}-65 \mathrm{wt} \% \mathrm{~B} & 0.36 & 0.64 \\ \hline \end{array} $$
The mass fraction of eutectoid ferrite in an ironcarbon alloy is \(0.71\). On the basis of this information, is it possible to determine the composition of the alloy? If so, what is its composition? If this is not possible, explain why.
Is it possible to have a copper-silver alloy that, at equilibrium, consists of an \(\alpha\) phase of composition \(4 \mathrm{wt} \%\) Ag \(-96 \mathrm{wt} \% \mathrm{Cu}\) and also a \(\beta\) phase of composition \(95 \mathrm{wt} \% \mathrm{Ag}-5 \mathrm{wt} \% \mathrm{Cu}\) ? If so, what will be the approximate temperature of the alloy? If this is not possible, explain why.
An intermetallic compound is found in the goldtitanium system that has a composition of \(58.0\) wt \(\%\) Au-42.0 wt \(\%\) Ti. Specify the formula for this compound.
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