Consider a hypothetical eutectic phase diagram for metals A and B that is similar to that...

Consider a hypothetical eutectic phase diagram for metals A and B that is similar to that for the lead–tin system, Figure 10.8. Assume that (1) α and β phases exist at the A and B extremes of the phase diagram, respectively; (2) the eutectic composition is 47 wt% B–53 wt% A; and (3) the composition of the β phase at the eutectic temperature is 92.6 wt% B–7.4 wt% A. Determine the composition of an alloy that will yield primary _ and total _ mass fractions of 0.356 and 0.693, respectively.

Figure 10.8 The lead–tin phase diagram.