Question
For $2.8 \mathrm{~kg}$ of a lead-tin alloy, is it possible to have the masses of primary $\beta$ and total $\beta$ of $2.21$ and $2.53$ $\mathrm{kg}$, respectively, at $180^{\circ} \mathrm{C}\left(355^{\circ} \mathrm{F}\right)$ ? Why or why not?
Step 1
First, we need to understand what primary β and total β are. Primary β is the mass of the β phase formed directly from the liquid during solidification, while total β is the mass of the β phase after the alloy has reached equilibrium at the given temperature. Show more…
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For $2.8 \mathrm{kg}$ of a lead-tin alloy, is it possible to have the masses of primary $\beta$ and total $\beta$ of $2.21 \mathrm{kg}$ and $2.53 \mathrm{kg},$ respectively, at $180^{\circ} \mathrm{C}$ $\left(355^{\circ} \mathrm{F}\right) ?$ Why or why not?
Is it possible to have a magnesium-lead alloy in which the mass fractions of primary $\alpha$ and total $\alpha$ are 0.60 and $0.85,$ respectively, at $460^{\circ} \mathrm{C}$ $\left(860^{\circ} \mathrm{F}\right) ?$ Why or why not?
For a lead-tin alloy of composition 80 wt$\%$ $\mathrm{Sn}-20 \mathrm{wt} \% \mathrm{Pb}$ and at $180^{\circ} \mathrm{C}\left(355^{\circ} \mathrm{F}\right)$ do the following: (a) Determine the mass fractions of $\alpha$ and $\beta$ phases. (b) Determine the mass fractions of primary $\beta$ and eutectic microconstituents. (c) Determine the mass fraction of eutectic $\beta$
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