Surface tension and work of a bubble or drop? S

Click For Summary
SUMMARY

The discussion focuses on the physics of alveoli expansion during breathing, specifically analyzing the work done in expanding an alveolus and the implications of pressure changes on surface tension. The alveolus experiences a radius change from 0.13 x 10-3 m to 0.15 x 10-3 m, with average excess pressures of 600 Pa during inhalation and 650 Pa during exhalation. The relationship between pressure, surface tension, and radius is described by the formula P = 2γ/r, which is critical for calculating the work done and understanding the tension in the alveolar walls.

PREREQUISITES
  • Understanding of alveolar mechanics and respiratory physiology
  • Familiarity with the Young-Laplace equation: P = 2γ/r
  • Basic knowledge of work and energy transfer concepts in physics
  • Ability to perform calculations involving pressure and surface tension
NEXT STEPS
  • Calculate the work done in expanding the alveolus using the formula W = P * ΔV
  • Explore the implications of pressure changes on surface tension in alveoli
  • Investigate the relationship between alveolar radius and pressure during breathing
  • Study the effects of surface tension on respiratory mechanics and lung function
USEFUL FOR

Students studying respiratory physiology, physics enthusiasts interested in fluid mechanics, and healthcare professionals focusing on pulmonary function and 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
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
6K
Replies
2
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
Replies
18
Views
4K
  • · Replies 21 ·
Replies
21
Views
2K
Replies
5
Views
2K