Essentials of Materials Science and Engineering, SI Edition
Essentials of Materials Science and Engineering, SI Edition
4th Edition
ISBN: 9781337672078
Author: ASKELAND, Donald R., WRIGHT, Wendelin J.
Publisher: Cengage Learning
Question
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Chapter 9, Problem 9.37P
Interpretation Introduction

(a)

Interpretation:

Thedendritic fraction of silver nucleates at 100C undercooling needs to be determined.

Concept Introduction:

Dendritic solidification is the process in which a liquid having lack of nucleating properties are undercooled to solidify the liquid.

A dendritic fraction is given by the following relation:

  F=CΔTΔHf

Expert Solution
Check Mark

Answer to Problem 9.37P

Dendritic fraction of silver nucleates at 100C is 0.0337.

Explanation of Solution

Given Information:

Undercooling temperature 100C and specific heat 3.25J/cm30C

Calculation:

A generic fraction is given by the following relation:

  F=CΔTΔHf ---------------- (1)

Here,

   F=Dendritic fraction C=Specific heat ΔT=Undercooling temperatureΔHf=Latent heat of fusion

Latent heat of fusion for silver metal is as follows:

  ΔHF=965 J/cm3 (Fromthetable of latent heat of fusion)

  C=3.25 J/cm3oCΔT=100C

Equation (1) becomes

  F=3.25×10965F=0.0337

Therefore, dendritic fraction of silver metal at 100C is 0.0337

Interpretation Introduction

(b)

Interpretation:

Thedendritic fraction of silver metal at undercooling of 1000C needs to be determined.

Concept Introduction:

Lack of nucleation growth in liquid causes it difficult to solidifies hence liquid is undercooling for this solidify which produces small solid bulge called dendrites and process of formation of solid called dendritic solidification.

Expert Solution
Check Mark

Answer to Problem 9.37P

Dendritic fraction of silver metal at 1000C undercooling is 0.337.

Explanation of Solution

Given Information:

The undercooling temperature of silver metal is 1000C

Specific heat of metal 3.25J/cm3C

Calculation:

Equation dendritic fraction is given by

  F=CΔTΔHf --------------------- (1)

Where,

   F=Dendritic fraction C=Specific heat ΔT=Undercooling temperatureΔHf=Latent heat of fusion

But,

  ΔT=1000CC=3.25J/cm30CΔHf=965 J/cm3

(Form latent heat table)

Equation (1) becomes,

  F=3.25×100965F=0.337

Therefore dendritic fraction at 1000C undercooling for silver metal is 0.337.

Interpretation Introduction

(c)

Interpretation:

The fraction of solidification of silver nucleates at homogeneity needs to be determined.

Concept Introduction:

Dendritic solidification is the process in which a liquid having lack of nucleating properties are undercooled to solidify the liquid.

A dendritic fraction is given by the following relation:

  F=CΔTΔHf

Expert Solution
Check Mark

Answer to Problem 9.37P

The dendritic fraction of solid silver metal when it is homogeneous is 0.842.

Explanation of Solution

Given Information:

Thehomogeneous undercooling temperature is 2500C

Specific heat 3.25J/cm30C

Calculation:

The dendritic fraction of silver metal is given by the following relation:

  F=CΔTΔHf --------------------- (1)

Here,

At the homogeneous state of silver metal ΔT=2500C

  ΔHf=965 J/cm3 (From latent heat table)

  C=3.25J/cm30C

Equation (1) becomes,

  F=3.25×250965F=0.842

The dendritic fraction of silver metal at homogeneous is 0.842.

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Chapter 9 Solutions

Essentials of Materials Science and Engineering, SI Edition

Ch. 9 - Prob. 9.11PCh. 9 - Prob. 9.12PCh. 9 - Prob. 9.13PCh. 9 - Prob. 9.14PCh. 9 - Prob. 9.15PCh. 9 - Prob. 9.16PCh. 9 - Prob. 9.17PCh. 9 - Prob. 9.18PCh. 9 - Prob. 9.19PCh. 9 - Prob. 9.20PCh. 9 - Prob. 9.21PCh. 9 - Prob. 9.22PCh. 9 - Prob. 9.23PCh. 9 - Prob. 9.24PCh. 9 - Prob. 9.25PCh. 9 - Prob. 9.26PCh. 9 - Prob. 9.27PCh. 9 - Prob. 9.28PCh. 9 - Prob. 9.29PCh. 9 - Prob. 9.30PCh. 9 - Prob. 9.31PCh. 9 - Prob. 9.32PCh. 9 - Prob. 9.33PCh. 9 - Prob. 9.34PCh. 9 - Prob. 9.35PCh. 9 - Prob. 9.36PCh. 9 - Prob. 9.37PCh. 9 - Prob. 9.38PCh. 9 - Prob. 9.39PCh. 9 - Prob. 9.40PCh. 9 - Prob. 9.41PCh. 9 - Prob. 9.42PCh. 9 - Prob. 9.43PCh. 9 - Prob. 9.44PCh. 9 - Prob. 9.45PCh. 9 - Prob. 9.46PCh. 9 - Prob. 9.47PCh. 9 - Prob. 9.48PCh. 9 - Prob. 9.49PCh. 9 - Prob. 9.50PCh. 9 - Prob. 9.51PCh. 9 - Prob. 9.52PCh. 9 - Prob. 9.53PCh. 9 - Prob. 9.54PCh. 9 - Prob. 9.55PCh. 9 - Prob. 9.56PCh. 9 - Prob. 9.57PCh. 9 - Prob. 9.58PCh. 9 - Prob. 9.59PCh. 9 - Prob. 9.60PCh. 9 - Prob. 9.61PCh. 9 - Prob. 9.62PCh. 9 - Prob. 9.63PCh. 9 - Prob. 9.64PCh. 9 - Prob. 9.65PCh. 9 - Prob. 9.66PCh. 9 - Prob. 9.67PCh. 9 - Prob. 9.68PCh. 9 - Prob. 9.69PCh. 9 - Prob. 9.70PCh. 9 - Prob. 9.71PCh. 9 - Prob. 9.72PCh. 9 - Prob. 9.73PCh. 9 - Prob. 9.74PCh. 9 - Prob. 9.75PCh. 9 - Prob. 9.76PCh. 9 - Prob. 9.77PCh. 9 - Prob. 9.78PCh. 9 - Prob. 9.79PCh. 9 - Prob. 9.80PCh. 9 - Prob. 9.81PCh. 9 - Prob. 9.82PCh. 9 - Prob. 9.83PCh. 9 - Prob. 9.84PCh. 9 - Prob. 9.85PCh. 9 - Prob. 9.86PCh. 9 - Prob. 9.87PCh. 9 - Prob. 9.88PCh. 9 - Prob. 9.89PCh. 9 - Prob. 9.90PCh. 9 - Prob. 9.91PCh. 9 - Prob. 9.92PCh. 9 - Prob. 9.93PCh. 9 - Prob. 9.94PCh. 9 - Prob. 9.95PCh. 9 - Prob. 9.96PCh. 9 - Prob. 9.97PCh. 9 - Prob. 9.98PCh. 9 - Prob. 9.99PCh. 9 - Prob. 9.100PCh. 9 - Prob. 9.101PCh. 9 - Prob. 9.102PCh. 9 - Prob. 9.103PCh. 9 - Prob. 9.104PCh. 9 - Prob. 9.105PCh. 9 - Prob. 9.106PCh. 9 - Prob. 9.107PCh. 9 - Prob. 9.108PCh. 9 - Prob. 9.109PCh. 9 - Prob. 9.110PCh. 9 - Prob. 9.111DPCh. 9 - Prob. 9.112DPCh. 9 - Prob. 9.113DPCh. 9 - Prob. 9.114DPCh. 9 - Prob. 9.115DPCh. 9 - Prob. 9.116CPCh. 9 - Prob. 9.117CPCh. 9 - Prob. 9.118CPCh. 9 - Prob. K9.1KPCh. 9 - Prob. K9.2KP
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