You are concentrating a solution containing a polypeptide of modest molecular we
ID: 53621 • Letter: Y
Question
You are concentrating a solution containing a polypeptide of modest molecular weight by pressure filtration through a membrane. The solute concentration on the feed side of the membrane is 0.10 M and the temperature is 25°C. The applied pressure on the solute side of the membrane is 6 atm (absolute) and the pressure on the opposite (solvent) side of the membrane is atmospheric. If the polypeptide solute is completely rejected by the membrane (i.e., it does not cross the membrane) and the solution is ideal, what is the “effective” pressure difference across the membrane? If the hydraulic conductance of the membrane is 3 mL/hr/m2/mm Hg, what is the filtration rate of the solvent? Assume the membrane has a total surface area of 1 m2.
Explanation / Answer
At ideal pressure when the pressure on both side is equal the solution will not pass the membrane. Hence the pressure will be 6 atm.
The filtration rate Q = Lp x S X del p
Q = 3 mL/hr/m2/mm Hgx11 m2x 147 hg = 485l ml/hr m2
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