Estimate the effective diffusion coefficient

Reference no: EM133287830

Question: A molecule is diffusing from a bulk solution across gel-like membrane into another bulk solution. The membrane is 1 mm in thickness and the temperature of this system is at 37°C. The radius of the molecule is estimated to be 3.90 nm, and the diffusion coefficient of the molecule in water at 25°C is 3.14 × 10-7 cm2 /s. The polymer fibers in the gel-like membrane have a radius of 2.79 nm. And the length of the fibers per unit volume is 2.05 × 10-3 nm-2. The value of ?? is 0.57 nm-1.

(1) Estimate the effective diffusion coefficient and the membrane permeability of the molecule in this gel-like membrane.

(2) The membrane has an area of 2 cm2. The concentration of the molecule at the two surfaces of the membrane is found to be 1 mM and 0.5 mM. Find the flux and molar transport rate of this molecule across the membrane.

Reference no: EM133287830

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