BioE 104 - Spring 2010 - Johnson - Midterm 1 (solution)

# BioE 104 - Spring 2010 - Johnson - Midterm 1 (solution) -...

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! ,- ./0 !\$(123 4/./ 1. (_____ of 15 points ) Steady-state convection and diffusion through a flat membrane. A porous membrane has been designed as part of an industrial process. The membrane is 5 cm thick with an area of 100 cm 2 , and is designed to pass 100 L/min of water with a solute concentration (a chemical called thiotimoline) of 0.90 M. On the other side of the membrane, the concentration of thiotimoline is approximately zero. Your project manager wants you to calculate the flux of thiotimoline passing through the your coworker in charge of testing the membrane has made a mess of things and can only tell you that the partition coefficient of thiotimoline in the membrane is ~1.0 and the diffusivity of thiotimoline in the membrane is no greater than 1.0e-8 cm 2 /s. No exact diffusivity is known. problem with one reasonable assumption. Describe how you would solve for the flux (in mol/[m 2 s]) under these conditions, and justify any assumptions you make. 5()*% .6 .7 \$)128+ 7 \$)128+ 9)( :+123 8;& 5& 2:#*&( 8) +1#\$%19 7 \$)128+ 9)( \$()\$&(%

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BioE 104 - Spring 2010 - Johnson - Midterm 1 (solution) -...

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