If your cells are aerobic, oxygen is usually the limiting substrate. The equation is:
( OTR = k_L a \cdot (C^* - C_L) )
You must memorize that ( k_L a ) is the volumetric mass transfer coefficient. Search the solution manual for problems involving "dynamic gassing out" – they are the hardest.
You cannot sterilize a fermenter without killing some nutrients. The Del Factor (∇) relates the probability of contamination to nutrient destruction.
( \nabla = \ln(N_0/N) )
A typical exam problem asks: "Heat at 121°C for 30 minutes. Calculate the probability of a contaminant surviving." The solution manual will show the Arrhenius equation integration – but you need to know why spore formers (Z value of 10°C) are harder to kill. bioprocess engineering basic concepts solution manual pdf
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