Question

A hypothetical A–B alloy of composition 55 wt% B–45 wt% A at some temperature is found to consist of mass fractions of 0.5 for both α and β phases. If the composition of the β phase is 90 wt% B–10 wt% A, what is the composition of the α phase?

Answer 1

Answer:

The Composition of the $\alpha$ phase: 20 wt% B- 80 wt% A.

Explanation:

In the given question,

The hypothetical A-B alloy composition: 55 wt% B-45 wt% A

The phase fraction of both $\alpha$ and $\beta$ : 0.5

The chemical composition of $\beta$ phase:

C$\beta$ = 90 (90 wt% B - 10  wt% A)

Now,

W$\alpha$= $\frac{C\beta -Co}{C\beta -C\alpha }$

0.5=$\frac{90-55}{90-c\alpha }$

C$\alpha$=20

Thus we get, the Composition of the $\alpha$ phase: 20 wt% B- 80 wt% A.

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