High School

Using the Animated Figure 9.8, for an alloy of composition 25 wt% Sn - 75 wt% Pb, select the phase(s) present and their composition(s) at 200°C.

A. α = 17 wt% Sn - 83 wt% Pb; β = 55.7 wt% Sn - 44.3 wt% Pb

B. L = 25 wt% Sn - 75 wt% Pb; α = 25 wt% Sn - 75 wt% Pb

C. α = 17 wt% Sn - 83 wt% Pb; L = 55.7 wt% Sn - 44.3 wt% Pb

D. α = 18.3 wt% Sn - 81.7 wt% Pb; β = 97.8 wt% Sn - 2.2 wt% Pb

Answer :

For an alloy with a composition of 25 wt% Sn - 75 wt% Pb at 200°C, both the liquid (L) and alpha (α) phases are present. (option b)

The given alloy composition is 25 wt% Sn - 75 wt% Pb. To determine the phases present and their compositions at 200°C, we can refer to the phase diagram represented by the Animated Figure 9.8.

According to the provided options, the correct answer is:

L = 25 wt% Sn - 75 wt% Pb; α = 25 wt% Sn - 75 wt% Pb.

This means that at 200°C, the alloy is composed of two phases: liquid (L) and alpha (α) phase. Both phases have the same composition of 25 wt% Sn and 75 wt% Pb.

The alpha phase (α) represents the solid solution of Sn and Pb atoms in a specific crystal structure. It is the stable phase at lower temperatures. The alpha phase is also known as the solid solution or the continuous phase, where the atoms of both Sn and Pb are randomly distributed within the crystal lattice. In this case, the alpha phase has a composition of 25 wt% Sn and 75 wt% Pb.

Hence the correct option is (b).

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