average membrane pore radius for this membrane using this information.

Human Anatomy & Physiology (11th Edition)
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Author:Elaine N. Marieb, Katja N. Hoehn
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A new 850 cm^2 membrane is being tested for use in a hemodialysis device. During testing, a model fluid mixture is used that contains solutes with average radii of 1 nm. In one test, the concentration of the filtrate is found to be 2.17 g/L, while the concentration on the feed-side surface is 8.52 g/L. Prior experimentation showed that the mass transfer coefficient in the device was approximately 9 × 10-4 cm/s. A) If the total filtration flow rate is measured to be 0.56 cm^3/s, what is the solute concentration in the feed solution? B) Explain how you could determine the average membrane pore radius for this membrane using this information.
Expert Solution
Step 1

Given,

Average radii=1nm

Conc. of filtrate = 2.17 g/L

Conc. of feed-side surface = 8.52 g/L

Mass transfer coefficient = 9 x 10-4 cm/s

Filter Flow rate measures = 0.56 cm^3/s 

Solute concentration in the feed solution=?

 

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