Osmotic Pressure within pressure vessel

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In a high-pressure vessel filled with an incompressible liquid and separated by a membrane with differing solute concentrations, no flux would occur unless the pressure differential exceeds the osmotic pressure. The membrane's strength is less relevant since the incompressible fluid supports it, but osmotic pressure can drive solvent movement, potentially leading to membrane rupture. In biological systems, such as plant cells, rigid cell walls can withstand osmotic pressure changes without bursting. If the pressure on the pure side is not greater than that on the concentrated side, flow will occur, even in incompressible scenarios. Understanding these dynamics is crucial for applications involving osmotic pressure in pressure vessels.
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.

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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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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.
 
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 ?
 
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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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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