Problem $4.$ The Eutectic Phase Diagram

Figures $11-6$ and $11-18$ show the lead$-$tin phase diagram and the effect of composition on the tensile strength of the lead$-$tin alloy, respectively

Figure $11-6.$ The lead$-$tin equilibrium phase diagram

Figure $11-18.$ The effect of the composition and strengthening mechanism on the tensile strength of lead$-$tin alloys.

From Figure $11-6,$ calculate the total $\backslash (\backslash \%\backslash$beta $\backslash )$ and the $\backslash (\backslash \%\backslash )$ eutectic microconstituent at room temperature for the lead$-$tin alloys shown in the table below. From Figure $11-18,$ determine the strengths at room temperature of these alloys.

Table $4.$ Tensile strength as a function of the amount of the $\backslash (\backslash$beta $\backslash )$ phase and that of the eutectic microconstituent.