You have conducted a series of pilot scale experiments on a fed batch reactor for a novel bioproduct. You plan to scale up your reactor to 1000 L and harvest biomass every 10 hours. Your initial culture volume of 400 L has a glucose concentration (So) of 20 gL-1. Glucose is added at a concentration of 200 g/L (SF). The initial biomass concentration is 50 gL-1. The kinetic and yield factors of the organism are mmax = 0.4 h-1, Ks = 0.5 g L-1, and Yx/s = 0.3 g-cell g-glucose-1. Endogenous growth and maintenance are negligible (i.e., kd = 0) and you can use the pseudo-steady state assumption.
If at 10 hours your reactor is at 90% of capacity, what is the flow rate of nutrient entering the reactor?
What is the glucose concentration (g L-1) after 10 hours?
How much glucose (g) has the organism consumed?
How much biomass (g) was produced?
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