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Chapter 9: Problem 2

At \(100^{\circ} \mathrm{C},\) what is the maximum solubility (a) of \(P b\) in \(\operatorname{Sn} ?(b)\) of \(\operatorname{Sn}\) in \(P b ?\)

Short Answer

Expert verified
Answer: The maximum solubilities of Pb in Sn and Sn in Pb at 100°C are __________ wt% (or at%) and __________ wt% (or at%), respectively. (Please refer to the specific Pb-Sn phase diagram to find the exact values and units).

Step by step solution

01

Refer the Pb-Sn phase diagram

We need to look at the phase diagram of the Pb-Sn system at 100°C to find the compositions of the alloys at which maximum solubility occurs. A phase diagram is a graphical representation of the equilibrium conditions between different phases of a system as a function of temperature, composition, pressure, or any other pertinent variable. In this case, we are concerned about temperature and composition.
02

Identification of maximum solubility points

Now, look at the phase diagram and identify the points where the 100°C isotherm intersects the solubility curves of Pb in Sn and Sn in Pb. The points where these intersections occur represent the compositions where maximum solubility is achieved at 100°C.
03

Determine the compositions

From the intersection points of the 100°C isotherm with the solubility curves, read the compositions (in weight percentage or atomic percentage, depending on the given phase diagram) corresponding to the maximum solubility of Pb in Sn and Sn in Pb.
04

Report the results

The maximum solubility of Pb in Sn and Sn in Pb at 100°C can be reported in either weight percentage or atomic percentage, depending on the given phase diagram. Make sure you mention the units according to what is given in the phase diagram.

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Most popular questions from this chapter

A hypothetical A-B alloy of composition 40 \(\mathrm{wt} \% \mathrm{~B}-60 \mathrm{wt} \% \mathrm{~A}\) at some temperature is found to consist of mass fractions of \(0.66\) and \(0.34\) for the \(\alpha\) and \(\beta\) phases, respectively. If the composition of the \(\alpha\) phase is \(13 \mathrm{wt} \%\) B-87 wt \(\% \mathrm{~A}\), what is the composition of the \(\beta\) phase?

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