A lead-tin (Pb-Sn) alloy of composition 30 wt % Sn and 70 wt % Pb is slowly heated from a temperature of 140 OC. Refer to the phase diagram provided in Figure 1 and answer the following.        (i)    At what temperature does the first liquid phase form? (ii)  What is the composition of this liquid phase?            (iii)   At what temperature does complete melting of the alloy occur? (iv)  What is the composition of the last solid remaining prior to complete melting

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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.2P: 5.2 Evaluate the Prandtl number from the following data: , .
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A lead-tin (Pb-Sn) alloy of composition 30 wt % Sn and 70 wt % Pb is slowly heated from a temperature of 140 OC. Refer to the phase diagram provided in Figure 1 and answer the following.       

(i)    At what temperature does the first liquid phase form?

(ii)  What is the composition of this liquid phase?           

(iii)   At what temperature does complete melting of the alloy occur?

(iv)  What is the composition of the last solid remaining prior to complete melting?

Composition (at% Sn)
20
40
60
80
100
327°C
600
300
Liquid
500
232°C
a + L
200
ß + L
400
183°C
18.3
61.9
97.8
300
100
a + B
200
100
20
40
60
100
(Pb)
Composition (wt% Sn)
(Sn)
Temperature (°C)
80
Temperature (°F)
Transcribed Image Text:Composition (at% Sn) 20 40 60 80 100 327°C 600 300 Liquid 500 232°C a + L 200 ß + L 400 183°C 18.3 61.9 97.8 300 100 a + B 200 100 20 40 60 100 (Pb) Composition (wt% Sn) (Sn) Temperature (°C) 80 Temperature (°F)
Expert Solution
Step 1

From the given figure, the first phase liquid form occurs at 184ͦ C which is where the eutectic isotherm is intersected by a vertical line of the composition.

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