Difficulty: Easy
Correct Answer: Less than 0.8 h^-1
Explanation:
Introduction / Context:
In a chemostat, steady state requires that the net specific growth rate equals the dilution rate (μ = D). If D exceeds the culture’s μ at the operating conditions, biomass cannot keep up with outflow and washout occurs. Choosing D relative to μmax is a basic control decision.
Given Data / Assumptions:
Concept / Approach:
To avoid washout, set D < μ at the achieved substrate level. Since μ cannot exceed μmax, a safe guideline is D < μmax, with margin for disturbances and maintenance requirements.
Step-by-Step Solution:
Verification / Alternative check:
Chemostat theory predicts X → 0 as D approaches μmax from below if substrate is limiting and any perturbation pushes μ < D.
Why Other Options Are Wrong:
Common Pitfalls:
Ignoring that μ depends on substrate; operating too close to μmax reduces robustness to fluctuations.
Final Answer:
Less than 0.8 h^-1
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