2.20 Consider the situation where a semipermeable membrane separates a bulk flui

Question

2.20 Consider the situation where a semipermeable membrane separates a bulk fluid (region A) with an osmotic pressure of 1750 mmHg from another enclosed fluid (region B) with an osmotic pressure of 10,000 mmHg. The hydrodynamic gauge pressure of region A is 760 mmHg. The solvent in both regions A and B is water. Assuming the container and membrane enclosing region B is rigid, what is the equilibrium hydrodynamic gauge pressure in region B, i.e., the situation wherein there is no net flow of water across the membrane?

Explanation / Answer

Region A

Osmotic pressure=1750 mm Hg

Gauge Pressure=Pressure - Atmospheric pressure= 760mm Hg

Now, Atmospheric pressure=1750-760= 990 mm Hg

Region B,

Osmotic Pressure= 10000 mm Hg

Gauge Pressure= Pressure- Atmospheric pressure= 10000-990=9010 mm Hg

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