Answered: N links Figure 3.17. A crude model of a…

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Physics

N links Figure 3.17. A crude model of a rubber band as a chain in which each link can only point left or right.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 59PQ

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Question

Polymers, like rubber, are made of very long molecules, usually tangled up in a configuration that has lots of entropy. As a very crude model of a rubber band, consider a chain of N links, each of length L Imagine that each link has only two possible states, pointing either left or right. The total length L of the rubber band is the net displacement from the beginning of the first link to the end of the last link.

Using the thermodynamic identity, you can now express the tension force F in terms of a partial derivative of the entropy. From this expression, compute the tension in terms of L, T , N, and l.

N links
Figure 3.17. A crude model of a rubber band as a chain in which each
link can only point left or right.

Science that deals with the amount of energy transferred from one equilibrium state to another equilibrium state.

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