Question

A hypothetical A-B alloy of composition 58 wt% B-42 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 83 wt% B-17 wt% A, what is the composition of the α phase?

Answer 1

composition of alpha phase is 33% B

Step-by-step explanation:

given data

total composition Co = 58%

β phase Cb = 83 %

mass fractions = 0.5

solution

we will use here lever rule that is

Wα = Wβ ................1

and

Wα = Wβ = 0.5

so here we will take one side i.e left

`(Cb - Co)/((Cb - Ca))` = 0.5

`(83-58)/(83-Ca) = 0.5`

Ca = 33

so that composition of alpha phase is 33% B