A magnesium-lead alloy of mass 9.2 kg consists of a solid phase that has a compo

Question

A magnesium-lead alloy of mass 9.2 kg consists of a solid phase that has a composition just slightly below the solubility limit at 300°C (570°F). The magnesium-lead phase diagram is shown in Animated Figure 9.20.

(a) What mass of lead is in the alloy?

(b) If the alloy is heated to 400°C (750°F), how much more lead may be dissolved in the phase without exceeding the solubility limit of this phase?

Animated phase diagram.

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Explanation / Answer

a)  phase boundary at this temperature, = 17 wt% Pb

The mass of Pb in the alloy = 0.17 * 9.2 kg

= 1.56 kg

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b) At 4000C, the solubility limit of thephase increases to 32 wt% Pb.

Cpb = 32 wt% = [1.56 + mpb / 9.2 + mpb] * 100

mpb = 2.04 kg

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