Assignment 9 - Solutions.docx - University of Alberta...

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University of Alberta Department of Chemical and Materials Engineering Assignment#9 - ChE 318: Mass Transfer Due Date: Thursday, August 2, 2018 (5:00 PM) Problem 1 (50 marks) The mass transfer capacity for some fermenters is shown in the figure below. A cell culture with density c = 0.05 g cells/cm 3 is kept in a 64-L fermentor with cross-sectional area S = 1600 cm 2 . The metabolic rate of O 2 consumption, R M , is given by the equation, R M = c k r C A where c = cell density = 0.05 g cells/cm 3 k r = metabolic rate constant = 5 cm 3 O 2 /(g cells.h) C A = O 2 concentration in the fermentor, mol/cm 3 Calculate the required flow rate of O 2 to the fermentor to keep its steady state concentration of O 2 equal to C A = 1.2 x 10 -6 mol/cm 3 . Data : C A * = 1.4 x 10 -6 mol/cm 3 , concentration of dissolved O 2 in equilibrium with O 2 in gas phase N i = 1, number of impellers in fermentor P g / V L = 5 hp/1000 L, power input to fermentor
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SOLUTION Flow rate Q can be determined using superficial velocity V s as follows: Q=V s *A We can find Vs using the given graph but we have to determine a v k c first RM= ρ c k r C A We know that: d(V
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