A 50 wt% Pb-50 wt% Mg alloy is slowly cooled from 700C (1290F) to 400C (750F). (a) At what temperature does the first solid phase form? (b) What is the composition of this solid phase? (c) At what temperature does the liquid solidify? (d) What is the composition of this last remaining liquid phase?

Respuesta :

Answer:

Explanation:

a)  the temperature at which the  first solid phase  form is calculated upon the cooling from 700°c , the first solid phase form at the temperature at which a vertical line at their composition intersect the line L - ( ∝ + L) Phase boundary i.e about 360°c.

b) What is the composition of this solid phase?  ; the composition of the first solid phase form corresponds to the intersection with the ∝ - (∝+L) phase boundary at a line constructed across the  (∝+L) phase.  Region at 560°c i.e 21wty. Pb or -79wty.mg

c) temperature at which the liquid completely solidify is about 465°C which is obtained by the intersection of the composition. wt; pbg so with the eutectic isotherm , i.e about 465°c.

d) the composition of the last remaining liquid face prior to the complete solidification corresponds to the eutectic composition. i.e 67wty.Pb - 33wty. mg

The temperature at which the first solid phase forms is; 560°C.

What is the composition of the phase?

A) From the attached Mg-Pb phase diagram, we can say that the  temperature at which the first solid phase forms is 560°C. This is because upon cooling from 700°C, the first solid phase is seen to form at the temperature at which a vertical line at this composition intersects the L - (α + L) phase boundary at that temperature of 560°C.

B) From the attached Mg-Pb phase diagram, we can tell that the composition of this solid phase at 560°C is 21 wt% Pb 79 wt% Mg.

C) The temperature at which the liquid solidifies is at 465°C. This is because we see that complete solidification of the alloy occurs at that temperature which is the intersection of the same vertical line at 50

wt% Pb with the eutectic isotherm.

D) The composition of the last liquid phase remaining prior to complete solidification is 67 wt% Pb-33 wt% Mg because it corresponds to the eutectic composition.

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