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?

composition of alpha phase is 33% B

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

= 0.5

Ca = 33

so that composition of alpha phase is 33% B

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explanation: