
(a)
Interpretation:
Thedendritic fraction of silver nucleates at
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:

Answer to Problem 9.37P
Dendritic fraction of silver nucleates at
Explanation of Solution
Given Information:
Undercooling temperature
Calculation:
A generic fraction is given by the following relation:
Here,
Latent heat of fusion for silver metal is as follows:
Equation (1) becomes
Therefore, dendritic fraction of silver metal at
(b)
Interpretation:
Thedendritic fraction of silver metal at undercooling of
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.

Answer to Problem 9.37P
Dendritic fraction of silver metal at
Explanation of Solution
Given Information:
The undercooling temperature of silver metal is
Specific heat of metal
Calculation:
Equation dendritic fraction is given by
Where,
But,
(Form latent heat table)
Equation (1) becomes,
Therefore dendritic fraction at
(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:

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
Specific heat
Calculation:
The dendritic fraction of silver metal is given by the following relation:
Here,
At the homogeneous state of silver metal
Equation (1) becomes,
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
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