The biomass reaction
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is carried out in a 6 dm3 chemostat with a heat exchanger.

The volumetric flow rate is 1 dm-Vh, the entering substrate concentration and temperature are 100 g/dm3 and 280 K, respectively. The temperature dependence of the growth rate follows that given by Aibe et al., Equation (7–63)
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And

Plot G(T) and R(T) for both adiabatic and non-adiabatic operation assuming a very large coolant rate (i.e., Q = UA (Ta- 7) with A = 1.1 m2 and Ta = 290 K). See Chapter 8 Summary Notes on the Web site for a hint.
What is the heat exchanger area that should be used to maximize the exiting cell concentration for an entering temperature of 288 K? Cooling water is available at 290 K and up to a maximum flow rate of 1 kg/minute.
Identify any multiple steady states and discuss them in light of what you learned in this chapter. Hint: Plot Ts vs. T0 from part (a).
Vary Ta, mc, and Ta and describe what you find.
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