The biomass reactionis carried out in a 25 dm3 batch chemostat with a heat exchanger.The i...

The biomass reaction

is carried out in a 25 dm3 batch chemostat with a heat exchanger.

The initial concentration of cells and substrate are 0.1 and 300 g/dm3, respectively. The temperature dependence of the growth rate follows that given by Aiba et al., Equation (7–61)5

(a) For adiabatic operation and initial temperature of 278 K, plot T, I’, rg, −rs, Cc, and Cs as a function of time up to 300 hours. Discuss the trends. (b) Repeat (a) and increase the initial temperature in 10 °C increments up to 330 K and describe what you find. Plot the concentration of cells at 24 hours as a function of inlet temperature.

(c) What heat exchange area should be added to maximize the total number of cells at the end of 24 hours? For an initial temperature of 310 K and a constant coolant temperature of 290 K, what would be the cell concentration after 24 hours?

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