Bioprocess Engineering Basic Concepts 2nd Edition Solution Direct

Substituting the given values:

: The doubling time (td) can be calculated using the following equation:

X = X 0 ​ ⋅ e ( μ − k d ​ ) ⋅ t Bioprocess Engineering Basic Concepts 2nd Edition Solution

X = 1 0 6 ⋅ e ( 0.05 − 0.01 ) ⋅ 24 = 1 0 6 ⋅ e 0.96 = 2.62 ⋅ 1 0 6 cells/mL

: A bioreactor is used to produce a biological product using a microorganism. The bioreactor has a volume of 1000 L and is operated at a temperature of 25°C. If the microorganism has a specific growth rate of 0.1 h-1, what is the doubling time of the microorganism? Substituting the given values: : The doubling time

v = K m ​ + [ S ] V ma x ​ ⋅ [ S ] ​

: The reaction rate (v) can be calculated using the Michaelis-Menten equation: v = K m ​ + [ S

where μ is the specific growth rate.