We want to ultrafilter 840 L of a solution containing 0.061 wt% of a protein used as a vaccine for herpes. This protein has a diffusion coefficient of 1.1 x 106 cm²/s and a molecular weight of 16,900. We would like to get the concentration up to about 2% by weight. The ultrafilter, which we hope to use, has eight hollow fiber cartridges, each of which has a surface area of 1.20 m?. It is cooled to 4°C during the operation. The membrane in these cartridges gives an initial flux of 5.7 x 105 cm/s under a pressure drop of 31 atm. Assuming negligible concentration polarization, estimate the time to complete this filtration.

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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We want to ultrafilter 840 L of a solution containing 0.061 wt% of a protein used as
a vaccine for herpes. This protein has a diffusion coefficient of 1.1 x 10-6 cm?/s and
a molecular weight of 16,900. We would like to get the concentration up to about
2% by weight. The ultrafilter, which we hope to use, has eight hollow fiber
cartridges, each of which has a surface area of 1.20 m?. It is cooled to 4°C during
the operation. The membrane in these cartridges gives an initial flux of 5.7 x 105
cm/s under a pressure drop of 31 atm. Assuming negligible concentration
polarization, estimate the time to complete this filtration.
Transcribed Image Text:We want to ultrafilter 840 L of a solution containing 0.061 wt% of a protein used as a vaccine for herpes. This protein has a diffusion coefficient of 1.1 x 10-6 cm?/s and a molecular weight of 16,900. We would like to get the concentration up to about 2% by weight. The ultrafilter, which we hope to use, has eight hollow fiber cartridges, each of which has a surface area of 1.20 m?. It is cooled to 4°C during the operation. The membrane in these cartridges gives an initial flux of 5.7 x 105 cm/s under a pressure drop of 31 atm. Assuming negligible concentration polarization, estimate the time to complete this filtration.
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