The oxygen uptake requirements of a microbial population is characterized by the following parameters: μm = 0.2 h⁻¹, K₀ = 0.2 mg O₂.l⁻¹, Y₀ = 0.5 mg dry weight/mg O₂ and C₀,꜀ᵣᵢₜ=0.8 mg.l⁻¹ The required concentration of cells is 1000 mg.l⁻¹ and the saturation oxygen concentration of the medium is 5.8 mg.l⁻¹. The required Kₗ a must be greater than

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