A hollow fiber membrane filtration module has a hydraulic permeability of Lp %3D 10-13 m S'Pa The effective fiber diameter d is 0.1 mm and length L is 0.25 m. When the module works at transmembrane pressure 4p of 106 Pa, temperature T 298 K and use NaCI with concentration C of 1.0 wt% as feed (blood) for calibration, its volumetric flow rate Q is 0.1 m³/day. We only consider pressure and osmosis driven filtration in this question, i.e. no diffusion is considered. Assume the osmotic (Staverman) reflection coefficient o = 1. (1) Calculate the osmotic pressure for this NaCl solution. (Hint: use van 't Hoff law and assume van't Hoff index i = 2 for Na* and CI.) (2) Determine the total fiber number n contained in this module?

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Chapter1: Chemical Foundations
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A hollow fiber membrane filtration module has a hydraulic permeability of Lp
%3D
10-13_m
S·Pa
The effective fiber diameter d is 0.1 mm and length L is 0.25 m. When the
module works at transmembrane pressure 4p of 106 Pa, temperature T 298 K and use NaCI
with concentration C of 1.0 wt% as feed (blood) for calibration, its volumetric flow rate Q is
0.1 m³/day. We only consider pressure and osmosis driven filtration in this question, i.e. no
diffusion is considered. Assume the osmotic (Staverman) reflection coefficient o = 1.
(1) Calculate the osmotic pressure for this NaCl solution. (Hint: use van 't Hoff law and
assume van't Hoff index i = 2 for Na* and Cl.)
(2) Determine the total fiber number n contained in this module?
Transcribed Image Text:A hollow fiber membrane filtration module has a hydraulic permeability of Lp %3D 10-13_m S·Pa The effective fiber diameter d is 0.1 mm and length L is 0.25 m. When the module works at transmembrane pressure 4p of 106 Pa, temperature T 298 K and use NaCI with concentration C of 1.0 wt% as feed (blood) for calibration, its volumetric flow rate Q is 0.1 m³/day. We only consider pressure and osmosis driven filtration in this question, i.e. no diffusion is considered. Assume the osmotic (Staverman) reflection coefficient o = 1. (1) Calculate the osmotic pressure for this NaCl solution. (Hint: use van 't Hoff law and assume van't Hoff index i = 2 for Na* and Cl.) (2) Determine the total fiber number n contained in this module?
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