An alloy in the A-B system is 40% B and is within the α + β two phase field, where the a phase contains 5% B and the β phase contains 90% B. Find the fraction α phase in the structure.

0.59

Explanation:

based on Lever's phase rule, we can find the fraction of the α phase in the structure using the following formula:

where

=  mass fraction of element B in the entire alloy or mixture = 40%

= mass fraction of element B in the β phase = 90%

= mass fraction of element B in the α phase = 5%

hence we have

∴ The fraction α phase in the structure is ≈ 0.59

answer:

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