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 800 ºC, then the solidification range is

Options :

  1. 400 ºC

  2. 250 ºC

  3. 800 ºC

  4. 150 ºC

Show Answer

Answer :

150 ºC

Solution :

To find the solidification range at 15 weight % of B we need to draw the point at which solidification is completed on the solidus line (AD).

We can see that point C is the solidification point and temperature can be found using similar triangles.


BE = solidification range

By using similar triangles ABC and ADE

AE = 700 - 400 = 300

BC = 15 , ED = 30

AB = 150° C

BE = AE - AB

BE = 300 -150 = 150° C

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