Essentials Of Materials Science And Engineering
Essentials Of Materials Science And Engineering
4th Edition
ISBN: 9781337670845
Author: ASKELAND
Publisher: Cengage
Question
Book Icon
Chapter 11, Problem 11.26P
Interpretation Introduction

(a)

Interpretation:

The total β % and the % eutectic microconstituent for 10%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire, ingot, foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 10%Sn is 8.2% and 0% respectively.

Explanation of Solution

Given:

10%Sn

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  1

Calculations:

From the graph,

For % β = 102992 =8.2%

% Eutectic = 0.

Thus, the evaluated value of % β and the % eutectic microconstituent at room temperature for 10% Sn is calculated as 8.2% and 0% respectively.

Interpretation Introduction

(b)

Interpretation:

The total β % and the % eutectic microconstituent for 20%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire, foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 20%Sn is 18.6% and 2.3% respectively.

Explanation of Solution

Given:

20%Sn

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  2

Calculations:

From the graph,

For % β = 202992= 18.6%

% Eutectic = 501961.919 =2.3%

The evaluated value of % β and the % eutectic microconstituent at room temperature for 20% Sn is calculated as 18.6% and 2.3% respectively.

Interpretation Introduction

(c)

Interpretation:

The total β % and the % eutectic microconstituent for 50%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire, foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 50%Sn is 49.5% and 72.3% respectively.

Explanation of Solution

Given:

50%Sn

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  3

Calculations:

From the diagram,

For % β = 502992=49.5%

% Eutectic = 601961.919=72.3%

The evaluated value of % β and the % eutectic microconstituent at room temperature for 50% Sn is calculated as 49.5% and 72.3% respectively.

Interpretation Introduction

(d)

Interpretation:

The total β % and the % eutectic microconstituent for 60%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire,foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 60%Sn is 59.8% and 95.6% respectively.

Explanation of Solution

Given:

60%Sn

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  4

Calculations:

From the graph,

For % β = 602992=59.8%

% Eutectic = 97.51961.919=95.6%

The evaluated value of % β and the % eutectic microconstituent at room temperature for 60% Sn is calculated as 59.8% and 95.6% respectively.

Interpretation Introduction

(e)

Interpretation:

The total β % and the % eutectic microconstituent for 80%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire, foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 80%Sn is 80.4% and 49.2% respectively.

Explanation of Solution

Use spreadsheet to tabulate the % total β and % eutectic micro constituent as in table (1)

Composition of % Sn
in entire Pbsn
phase diagram
Tensile Strength
( MPa)
Total % β
phase
% Eutectic
10308.20
204018.62.3
505049.572.3
606059.895.6
807080.449.6
958095.97

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  5

Given:

80%Sn

Calculations:

From the graph:

For % β = 802992=80.4%

% Eutectic = 97.58097.561.9=49.2%

Thus, by using the expression of eutectic, the required value obtained is 49.2%.

Interpretation Introduction

(f)

Interpretation:

The total β % and the % eutectic microconstituent for 95%Sn at room temperature needs to be determined.

Concept Introduction:

The compound formula of Lead-Tin alloy is designated by 'Pb-Sn'.

  1. It appears in solid form.
  2. It appears in various shapes like wire, foil, bar, ribbon etc.
  3. It appears in silver color.
  4. Its melting point is 182-215 degree Celsius.

Lead-Tin are widely used as soldering alloys. They are compatible for all types of uses.

Expert Solution
Check Mark

Answer to Problem 11.26P

The Total % β and the % eutectic microconstituent at room temperature for 95%Sn is 95.9% and 7.0% respectively.

Explanation of Solution

Essentials Of Materials Science And Engineering, Chapter 11, Problem 11.26P , additional homework tip  6

Given:

95%Sn

Calculations:

For % β = 952992=95.9%

% Eutectic = 97.59597.561.9=7.0%

(Mention Graph)

After Studying the graph of tensile strength vs % β we can conclude that as tensile strength increases to its maximum value of 7800psi at % β = 60%.

The evaluated value of % β and the % eutectic microconstituent at room temperature for 95% Sn is calculated as 95.9% and 7.0% respectively.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Engineering
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Essentials Of Materials Science And Engineering
Engineering
ISBN:9781337385497
Author:WRIGHT, Wendelin J.
Publisher:Cengage,
Text book image
Industrial Motor Control
Engineering
ISBN:9781133691808
Author:Stephen Herman
Publisher:Cengage Learning
Text book image
Basics Of Engineering Economy
Engineering
ISBN:9780073376356
Author:Leland Blank, Anthony Tarquin
Publisher:MCGRAW-HILL HIGHER EDUCATION
Text book image
Structural Steel Design (6th Edition)
Engineering
ISBN:9780134589657
Author:Jack C. McCormac, Stephen F. Csernak
Publisher:PEARSON
Text book image
Fundamentals of Materials Science and Engineering...
Engineering
ISBN:9781119175483
Author:William D. Callister Jr., David G. Rethwisch
Publisher:WILEY