GATE ME 2019 Set 2 — Question 44
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Engineering Materials → Structure & Properties → Binary Phase Diagrams & Lever Rule
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Question
The binary phase diagram of metals and is shown in the figure. An alloy containing and (by weight) is cooled from liquid to solid state. The fractions of solid and liquid (in weight percent) at , respectively, will be
Correct answer
(B) 22.2\% and 77.8\%
Solution
To find the fractions of solid and liquid at for an alloy with , we use the lever rule on the tie line at that temperature.
1.Identify compositions from the diagram at :
- Overall alloy composition,
- Composition of the liquid phase (at the liquidus),
- Composition of the solid phase (at the solidus),
- Fraction of solid ():
- Fraction of liquid ():
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