
(a)
Interpretation:
The number of polyethylene chains in the given rope is to be calculated.
Concept Introduction:
The molecular weight of a polymer is not fixed. It has a certain range under which its molecular weight falls. For a linear polymer, degree of polymerization represents the average length of the polymer. Degree of polymerization is defined as:
The formula to calculate number of chains in the given mass of polymer is:
Here,

Answer to Problem 16.14P
The number of polyethylene chains in the given rope is
Explanation of Solution
Given information:
A rope made up of polyethylene weighs
The length of the rope is
The repeating unit of polyethylene is
Now, use equation (1) and calculate the average molecular weight of polytetrafluoroethylene as:
Calculate the mass of
Calculate the number of chains in the given rope of polyethylene using equation (2) as:
(b)
Interpretation:
The total length of chains in the given rope is to be calculated.
Concept Introduction:
The formula to calculate the length
Here,

Answer to Problem 16.14P
The total length of chains in the given rope is
Explanation of Solution
Given information:
A rope made up of polyethylene weighs
The length of the rope is
From the given data:
Use equation (3) to calculate the length of
Substituting the values:
Now, calculate the total length of the chains in the given polymer rope as:
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Chapter 16 Solutions
Essentials of Materials Science and Engineering, SI Edition
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