Gas pressure differentials and permeability

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Discussion Overview

The discussion revolves around gas pressure differentials and permeability, specifically focusing on the diffusion of gases through a permeable membrane in a divided cylinder. Participants explore the implications of partial pressures and the behavior of oxygen and nitrogen in this context.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants propose that the diffusion of oxygen from compartment A (air) to compartment B (nitrogen) would occur due to the higher partial pressure of oxygen.
  • Others argue that this situation can be framed as a diffusion question, where gases will spread out to equalize concentration on both sides.
  • A participant questions the assertion that oxygen has a higher partial pressure than nitrogen, seeking clarification on this point.
  • One participant expresses confusion about the mixing and exchange of gases, particularly regarding the rate of diffusion and the final equilibrium state of the compartments.
  • Another participant suggests that while short-term pressure differences may exist, the system will eventually equilibrate, with diffusion occurring until partial pressures are equal.
  • A follow-up question is raised about whether the pressure in both compartments would remain stable indefinitely if both contained air and the wall was permeable, assuming no leakage.
  • One participant clarifies that if both compartments contain air, which is primarily nitrogen, then changes would not occur if pressure and composition are the same.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of gases in the compartments, particularly regarding the diffusion rates and the implications of gas composition. There is no consensus on the final outcomes or the stability of pressures over time.

Contextual Notes

Limitations include assumptions about gas behavior, the permeability of the membrane, and the specific conditions under which diffusion occurs. The discussion does not resolve the complexities of gas interactions and their effects on pressure stability.

adam walker
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We are trying to design a new product which uses gas pressures
in various ways. We are a little foxed about partial pressures:

Imagine a small cylinder; 6in long + 1in in diameter.
The cylinder is made from steel.
The cylinder is divided into two equal compartments – A and B.
Each compartment holds pressurized gas at 80psi
In compartment A. the gas is air
In compartment B. the gas is Nitrogen
The wall that divides the cylinder is made from rubber.
The rubber is gas permeable.

Oxygen has a higher partial pressure than Nitrogen.
Oxygen is 21% of the gas in compartment A.

QUESTION:

Would that cause a change in the gas balance between the compartments over time?
For example: Would there be a transfer of gas from A to B?

Thanks Very Much.
 
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adam walker said:
Would that cause a change in the gas balance between the compartments over time?
Isn't this just a diffusion question? Oxygen molecules would eventually spread out so that their concentration is the same on both sides. Likewise for Nitrogen.
 
adam walker said:
We are a little foxed about partial pressures:
It looks like it. Why do you say that oxygen has a higher partial pressure than nitrogen?
 
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mjc123 said:
It looks like it. Why do you say that oxygen has a higher partial pressure than nitrogen?

Thanks for comment.
I think I have phrased this all badly.
The core issue is that oxygen diffuses through a material more easily than nitrogen.

So my confusion relates to the degree to which the nitrogen on one side and the air on the other side would mix or exchange when the starting pressure on both sides is equal. And the rate at which that would happen.
e.g. one side is 21% oxygen 79% nitrogen; the other is 100% nitrogen;
does that mean that over time an exchange will occur until each side is 89.5% nitrogen and 10.5% oxygen?
While the 80psi pressure remains the same on both sides?
 
Last edited:
Eventually, yes, that is what will happen. In the short term, the pressure will be higher in B as oxygen diffuses from A to B faster than nitrogen diffuses from B to A, but eventually the system will equilibrate. (Coming back to partial pressures, diffusion of a gas will occur until the partial pressure of the gas is the same on both sides, but this process will be faster for oxygen than nitrogen.)
 
mjc123 said:
Eventually, yes, that is what will happen. In the short term, the pressure will be higher in B as oxygen diffuses from A to B faster than nitrogen diffuses from B to A, but eventually the system will equilibrate. (Coming back to partial pressures, diffusion of a gas will occur until the partial pressure of the gas is the same on both sides, but this process will be faster for oxygen than nitrogen.)
Thanks for your opinion I find it most valuable.
What we are designing does not need nitrogen – we only considered it because we thought it might extend the period before there was any loss of pressure;

So -

As a follow up:
Assuming an air tight cylinder with two compartments
Assuming both compartments have an equal pressure of 80psi
And BOTH contain air (no nitrogen)
And the wall between them is permeable
On the basis of what you have said thus far:
Is it the case that the pressure in both compartments would remain stable indefinitely?
Or is there something else that would alter that?
(again assuming there was no leakage from the cylinder)

Many Thanks.
 
adam walker said:
And BOTH contain air (no nitrogen)
Air is 79% nitrogen, so they must. You mean no pure nitrogen, as distinct from air?
If both compartments have the same pressure and same composition, why should anything change?
 

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