Chapter 9: Problem 3
Cite three variables that determine the microstructure of an alloy.
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Chapter 9: Problem 3
Cite three variables that determine the microstructure of an alloy.
These are the key concepts you need to understand to accurately answer the question.
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For \(5.7 \mathrm{kg}\) of a magnesium-lead alloy of composition 50 wt\(\%\) Pb-50 wt\(\%\) Mg, is it possible, at equilibrium, to have \(\alpha\) and \(\mathrm{Mg}_{2} \mathrm{Pb}\) phases with respective masses of 5.13 and \(0.57 \mathrm{kg} ?\) If so, what will be the approximate temperature of the alloy? If such an alloy is not possible, then explain why
A magnesium-lead alloy of mass \(7.5 \mathrm{kg}\) consists of a solid \(\alpha\) phase that has a composition just slightly below the solubility limit at \(300^{\circ} \mathrm{C}\) \(\left(570^{\circ} \mathrm{F}\right)\) (a) What mass of lead is in the alloy? (b) If the alloy is heated to \(400^{\circ} \mathrm{C}\left(750^{\circ} \mathrm{F}\right)\) how much more lead may be dissolved in the \(\alpha\) phase without exceeding the solubility limit of this phase?
It is desirable to produce a copper-nickel alloy that has a minimum noncold- worked tensile strength of \(380 \mathrm{MPa}(55,000 \mathrm{psi})\) and a ductility of at least \(45 \%\) EL. Is such an alloy possible? If so, what must be its composition? If this is not possible, then explain why.A 60 wt\(\% $$\mathrm{Pb}-40\) wt\(\%\) \(\mathrm{Mg}\) alloy is rapidly quenched to room temperature from an elevated temperature in such a way that the hightemperature microstructure is preserved. This microstructure is found to consist of the \(\alpha\) phase and \(\mathrm{Mg}_{2} \mathrm{Pb},\) having respective mass fractions of 0.42 and \(0.58 .\) Determine the approximate temperature from which the alloy was quenched.
For a 76 wt\(\%\) \(\mathrm{Pb}-24\) wt\% \(\mathrm{Mg}\) alloy, make schematic sketches of the microstructure that would be observed for conditions of very slow cooling at the following temperatures: \(575^{\circ} \mathrm{C}\) \(\left(1070^{\circ} \mathrm{F}\right), 500^{\circ} \mathrm{C}\left(930^{\circ} \mathrm{F}\right), 450^{\circ} \mathrm{C}\left(840^{\circ} \mathrm{F}\right),\) and \(300^{\circ} \mathrm{C}\left(570^{\circ} \mathrm{F}\right) .\) Label all phases and indicate their approximate compositions.
Figure 9.36 is the tin-gold phase diagram, for which only single-phase regions are labeled. Specify temperature-composition points at which all eutectics, eutectoids, peritectics, and congruent phase transformations occur. Also, for each, write the reaction upon cooling.
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