A raw culture broth, with a density of 1000 kg/m³, flows at a mass rate of 2 ton/h through a continuous sterilizer to feed a CSTR-type bioreactor. The initial contamination of the broth is 5 million cells per mL, with the admission of a single surviving cell from the initial contamination in the CSTR bioreactor every two months of continuous operation. The activation energy and Arrhenius constant for the thermal destruction of these initial contaminating cells are 300 kJ/mol and 1040 h-1, respectively. The general ideal gas constant is R = 8.314 J/K/mol. The sterilizer tube has an inside diameter of 6 inches and the length of the holding section is 20 m. The viscosity of the medium is 0.01 g/cm/s. (a) What sterilization temperature should be employed and what is the hold time in the holding tube? (b) If axial dispersion could be neglected, what would be the new binomial time x temperature?
A raw culture broth, with a density of 1000 kg/m³, flows at a mass rate of 2 ton/h through a continuous sterilizer to feed a CSTR-type bioreactor. The initial contamination of the broth is 5 million cells per mL, with the admission of a single surviving cell from the initial contamination in the CSTR bioreactor every two months of continuous operation. The activation energy and Arrhenius constant for the thermal destruction of these initial contaminating cells are 300 kJ/mol and 1040 h-1, respectively. The general ideal gas constant is R = 8.314 J/K/mol. The sterilizer tube has an inside diameter of 6 inches and the length of the holding section is 20 m.
The viscosity of the medium is 0.01 g/cm/s.
(a) What sterilization temperature should be employed and what is the hold time in the holding tube?
(b) If axial dispersion could be neglected, what would be the new binomial time x temperature?
Step by step
Solved in 3 steps with 8 images
