GATE ME 2022 Set 1 — Question 41
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Engineering Materials → Structure & Properties → Binary Phase Diagrams & Lever Rule
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Question
In Fe-Fe C phase diagram, the eutectoid composition is weight % of carbon at C. The maximum solubility of carbon in -ferrite phase is weight % of carbon. A steel sample, having no other alloying element except weight % of carbon, is slowly cooled from C to room temperature. The fraction of pro-eutectoid -ferrite in the above steel sample at room temperature is
Correct answer
(A) 0.387
Solution
Using the lever rule for pro-eutectoid -ferrite at the eutectoid temperature:
(Carbon content of the steel)
(Eutectoid composition)
(Max solubility in -ferrite)Fraction of pro-eutectoid -ferrite () is given by:
.
(Carbon content of the steel)
(Eutectoid composition)
(Max solubility in -ferrite)Fraction of pro-eutectoid -ferrite () is given by:
.
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