GATE ME 2022 Set 2 — Question 19
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Engineering Materials → Structure & Properties → Binary Phase Diagrams & Lever Rule
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Question
Fluidity of a molten alloy during sand casting depends on its solidification range. The phase diagram of a hypothetical binary alloy of components A and B is shown in the figure with its eutectic composition and temperature. All the lines in this phase diagram, including the solidus and liquidus lines, are straight lines. If this binary alloy with 15 weight % of B is poured into a mould at a pouring temperature of , then the solidification range is
Correct answer
(D) 150 ºC
Solution
The solidification range is defined as the difference between the liquidus temperature () and the solidus temperature () for a given composition.
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1.Find Liquidus Temperature () at 15% B:
The liquidus line on the left side of the eutectic point connects and . Since it is a straight line, we can interpolate:.
2.Find Solidus Temperature () at 15% B:
For an alloy with 15% B, which lies between the maximum solubility of A () and the eutectic composition (), the solidification ends at the eutectic temperature..
3.Calculate Solidification Range:
Range .The pouring temperature of determines the superheat but does not affect the solidification range of the alloy itself.Continue learning with Success Tracker
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