Surface tension and work of a bubble or drop? S

AI Thread Summary
The discussion revolves around calculating the work done in expanding an alveolus during inhalation and understanding the implications of pressure changes on surface tension. The alveolus is treated as a single surface, with the pressure difference defined by the equation P = 2γ/r. The work done during inhalation is questioned, particularly how to apply energy transfer concepts to find the average tension in the alveolar wall. There is confusion regarding the calculations, especially in relating surface tension to pressure and work done. The thread highlights the complexity of these concepts in the context of respiratory mechanics.
babybaby
Messages
2
Reaction score
0

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
 
Physics news on Phys.org
no help? :( please
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'
(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
Back
Top