Interpretation:
The change in volume of polyethene after applying a uniaxial stress has to be calculated.
Concept Introduction:
Poison ratio can be calculated as follows,
Strain can be calculated as follows,
Contraction in both transverse directions occurs during transverse strain.

Answer to Problem 15D.3AE
The change in volume is calculated as
Explanation of Solution
Consider
When the stress is applied the length in the transverse direction decreases, but length in axial direction increases.
Given information is shown below,
Therefore transverse strain can be calculated as follows,
So,
Change in length in z direction can be calculated as follows,
Therefore the new length in the axial direction (
Change in length in x and y direction can be calculated as follows,
Therefore the new lengths in the transverse directions (
The new volume of the solid can be calculated as follows,
Therefore the change in volume can be calculated as follows,
The change in volume is calculated as
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Chapter 15 Solutions
ATKINS' PHYSICAL CHEMISTRY
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