Answered: A lead-tin (Pb-Sn) alloy of composition…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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)

Expert Solution

Step 1

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

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