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

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
icon
Related questions
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)
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.

Mechanical Engineering homework question answer, step 1, image 1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Binary Phase Diagram
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY