339 HW 3 - CHE 339 BME 339/BIO 335 Fall 2010 Homework#3...

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CHE 339/ BME 339/BIO 335 Fall 2010 Homework #3 Assigned: Sept. 14, 2010 Due: Tuesday, September 21, 2010 1. The production of a certain product has been described by the following expression: R p = A μ + B where R p is the specific productivity (mg product/g cell/hr), m is the specific growth rate (hr -1 ), and A and B are constants equal to 1.0 mg product/ g cells and 1.0 mg product/g cells/hr, respectively. Calculate the steady state cell, substrate and product concentration in a chemostat. Assume that the Monod kinetics apply and the substrate utilization for maintenance and product synthesis is negligible. Data: μ max =2.0 hr -1 K s = 0.001 g /l Y x/s = 0.5 g cells/g substrate F= 1.0 l/hr V=1.0 l S in = 10 g/l (substrate inlet conc.) 2 . In a two stage chemostat system the volumes of the first and second reactors are V1=500 l and V2=300 l respectively. The first tank is used for biomass production and the second reactor is for secondary metabolite production. The flow rate, F=100 l/hr and the glucose concentration in the feed is Sin=5.0 g/l. The second tank is kept at a temperature above the
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