A Pseudomonas aeruginosa culture has a maximum specific growth rate μmax = 0.8 h^-1 on glucose. In a chemostat, what dilution rate D will prevent washout?

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:

  • μmax = 0.8 h^-1 for Pseudomonas aeruginosa on the stated medium.
  • Operating substrate concentration supports μ ≤ μmax.
  • No cell retention device.


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:

At steady state: μ = D.Washout threshold: D ≥ μ → at limiting case, D = μmax is risky.Therefore, to prevent washout: choose D < 0.8 h^-1.Additional safety margin (e.g., 0.6–0.7 h^-1) is common in practice.


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:

  • D > 0.8: guarantees washout.
  • D = 0.8: marginal; susceptible to washout.
  • D = 1.6: far above μmax; immediate washout.
  • D = 0: not a chemostat (becomes batch).


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

More Questions from Fermentation Reactors

Discussion & Comments

No comments yet. Be the first to comment!
Join Discussion