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The flow rate required to result in a steady-state concentration of sucrose as 1.5 g/L in the bioreactor Common Data: A culture of Rhizobium is grown in a chemostat (100 m³) bioreactor. The feed contains 12 g/L sucrose, Ks for the organism is 0.2 g/L and μm = 0.3 h⁻¹. (A) 15 m³/h (B) 26 m³/h (C) 2.6 m³/h (D) 150 m³/h
The flow rate required to result in a steady-state concentration of sucrose as 1.5 g/L in the bioreactor
Common Data: A culture of Rhizobium is grown in a chemostat (100 m³) bioreactor. The feed contains 12 g/L sucrose, Ks for the organism is 0.2 g/L and μm = 0.3 h⁻¹.
(A) 15 m³/h
(B) 26 m³/h
(C) 2.6 m³/h
(D) 150 m³/h
Answer
Answer: (B) 26 m³/h
C_s = \frac{S_f}{1 + \frac{\mu_m}{K_s} \cdot \frac{F}{V}}Where:
- = Steady-state concentration of sucrose
- = Feed concentration of sucrose
- = Maximum specific growth rate
- = Saturation constant
- = Flow rate
- = Volume of the bioreactor
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