Surface tension and work of a bubble or drop? S

In summary, the alveolus, while breathing in, expands from a radius of 0.13 x 10-3m to 0.15 x 10-3m and has a single surface described by P = 2γ/r. The gauge pressure in the alveoli is denoted Palv, while the pressure outside the alveoli is approximated by P0. The average excess pressure in the alveolus is 600 Pa while breathing in and 650 Pa while breathing out. The work done in expanding the alveolus while breathing in can be determined using energy transfer ideas, and the average tension in the alveolus wall can also be calculated. The tension in the al
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Homework Statement


While a person breathes in, a typical alveolus expands from a radius of 0.13 x 10-3m to 0.15 x 10-3m. The alveolus behaves as though it has a single surface which is described by
P =2γ/r
ote the following.
The gauge pressure in the alveoli of the lung is denoted Palv.
The gauge pressure just outside the lungs, in the intrapleural space, is P0,which approximates the pressure outside the alveoli.
The average excess pressure in the alveolus, P, while breathing in is 600 Pa, and while breathing out it is 650 Pa.


Homework Equations



(a) What is the work done in expanding the alveolus while breathing in?
(b) Use energy transfer ideas to determine the average tension in the alveolus wall while breathing in. Explain your reasoning steps carefully.
(c) In fact P increases while breathing in, by a factor of approximately 1.6. What are the implications of this increase for the tension in the alveolus walls? Be quantitative in your answer.


The Attempt at a Solution


for a I am not too sure what to do. cos its a single surface so do we consider it as a droplet? :S and when i try work out using the dE = y dA = y 16 pi r dr P =W = P 4 pi r^2 dr
but if i use y 16 pi r dr it doesn't equal to P 4 pi r^2 dr
whys that? :S
and i don't understand the rest
sorry for the noobness
 
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no help? :( please
 

1. What is surface tension?

Surface tension is a cohesive force that exists at the surface of a liquid, caused by the attraction between the molecules of the liquid. It is the reason why water droplets form and why insects can walk on water.

2. How is surface tension calculated?

Surface tension is typically measured in units of force per unit length, such as dynes per centimeter. It can be calculated by dividing the surface energy of a liquid by its surface area.

3. How does surface tension affect the shape of bubbles and drops?

Surface tension causes bubbles and drops to form spherical shapes. This is because the molecules are attracted to one another, pulling the surface of the bubble or drop into the smallest possible surface area, which is a sphere.

4. What is the work of a bubble or drop?

The work of a bubble or drop is the energy required to create the surface area of the bubble or drop. It is directly related to the surface tension of the liquid and the surface area of the bubble or drop.

5. How does temperature affect surface tension?

Generally, surface tension decreases as temperature increases. This is because higher temperatures cause the molecules to move faster, reducing the cohesive forces between them. However, this relationship may not hold true for all liquids, as some may have unique temperature-dependent properties.

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