Osmotic Pressure within pressure vessel

In summary: Any net flux would create a pressure differential greater than the osmotic pressure, potentially causing the membrane to rupture. Additionally, the rigidity of the membrane plays a role in preventing flux and pressure changes. In the case of a compressible fluid, there may be a small amount of flow, but in the limit of incompressibility, even an infinitecimal amount of flow would be enough to establish a pressure balance. In summary, in this scenario, there
  • #1
Tom79Tom
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Hi could someone point me in the right direction about the following scenario
A high pressure vessel is 100% filled with an incompressible liquid
A membrane separates two sides with differing concentrations one (one may be zero) of an impermeable solute.

upload_2014-11-5_17-16-11.png


What would occur ?
My feeling is that there would be no flux as there would not be 'volume' ability for it to occur
Any net fux would create an immediate pressure differential greater than the osmotic pressure. Is this correct.
I don't even think that it matters how strong the membrane is as it would be supported on all sides by the incompressible fluid?
 
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  • #2
It depends on what the membrane is- there is osmotic pressure driving solvent across the membrane, equivalent to a hydrostatic pressure- so the membrane could rupture. This happens with living cells lacking a rigid cell wall placed in a hypotonic solution: water enters the cell, swelling the cell and bursting the membrane.
 
  • #3
Thanks for that, going for the Biology analogy we are talking about a turgid system , the rigid membrane disallows the flux and pressure change.
So if the volume cannot increase how does the energy get transferred ?
 
  • #4
Tom79Tom said:
Thanks for that, going for the Biology analogy we are talking about a turgid system , the rigid membrane disallows the flux and pressure change.
So if the volume cannot increase how does the energy get transferred ?

I don't understand your question- for example, plant cells have a rigid cell wall and can withstand an osmotic pressure jump. What do you mean by 'energy get transferred?'
 
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  • #5
The pressure on the pure side would have to be higher than the pressure on the concentration side by the osmotic pressure in order for no flow to occur. No fluid is completely incompressible, so for a compressible fluid case, if the pressure difference was not just right, some small amount of flow would occur. However, in the limit of incompressibility, any infinitecimal amount of flow would be sufficient to establish the pressure balance.

Chet
 
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What is osmotic pressure within a pressure vessel?

Osmotic pressure within a pressure vessel refers to the force exerted by a solution as it tries to equalize the concentration of solutes inside and outside of the vessel. This pressure is caused by the movement of water molecules across a semi-permeable membrane.

How is osmotic pressure within a pressure vessel calculated?

Osmotic pressure can be calculated using the Van't Hoff equation: π = iMRT, where π is the osmotic pressure, i is the van't Hoff factor (a measure of the number of particles a solute dissociates into), M is the molarity of the solution, R is the gas constant, and T is the temperature in Kelvin.

What factors affect osmotic pressure within a pressure vessel?

The osmotic pressure within a pressure vessel is affected by the concentration of solutes, the temperature, the size of the particles, and the permeability of the membrane. Higher solute concentrations, higher temperatures, smaller particle sizes, and more permeable membranes will result in higher osmotic pressures.

What is the significance of osmotic pressure within a pressure vessel?

Osmotic pressure is important in many biological processes, such as the movement of water and nutrients in plant cells and the regulation of blood pressure in animals. It is also important in industrial processes, such as reverse osmosis for water purification and in the production of certain foods and beverages.

How can osmotic pressure within a pressure vessel be controlled or manipulated?

Osmotic pressure within a pressure vessel can be controlled or manipulated by changing the concentration of solutes, adjusting the temperature, changing the size of the particles, or altering the permeability of the membrane. This can be useful in various applications, such as in medical treatments or in industrial processes.

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