041309_hw3 - Department of Chemical Engineering University...

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1 Department of Chemical Engineering Spring, 2009 University of California, Santa Barbara CHE 140A Problem Set No. 3 Due Tuesday, April 21, 2009 Problem 1: Fogler, 2-8(d), p. 74 In bioreactors, the growth is generally autocatalytic in that the more cells you have, the greater the growth rate cells Cells nutrients more cells product . The cell growth rate, r g , and the rate of nutrient consumption, r s , are directly proportional to the concentration of cells for a given set of conditions. A Levenspiel plot of (1/- r s ) as a function of nutrient conversion X s = ( C S0 - C S )/ C S0 is given below in Figure P2-8. Figure P2-8: Levenspiel plot for bacteria growth, Problem 1. For a nutrient feed rate of 1 kg/hr with C so = 0.25 g/dm 3 , what chemostat (CSTR) size is necessary to achieve: ( d ) How could you arrange a CSTR and PFR in series to achieve 80% conversion with the minimum total volume? Repeat for two CSTRs in series.
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2 Problem 2: Fogler, 2-9(c,d), p. 75 The adiabatic exothermic irreversible gas-phase reaction 2 2 A B C is to be carried out in a flow reactor for an equimolar feed of A and B.
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