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GATE 2022 ES – Question 39

Water and Wastewater Treatment and Management · Kinetics and Reactor Design · 2 marks · Multiple choice

A continuous culture is at steady state with HRT24 h and growth rate μ₁. HRT is reduced to 12 h, and a new non-washout steady state has rate μ₂. Which relation holds?

  1. μ₁=μ₂
  2. μ₁=.5μ₂
  3. μ₂=.5μ₁
  4. $\mu_2=e^{.5}\mu_1$

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Correct answer: (B) μ₁=.5μ₂

Explanation

In the intended chemostat without cell retention or decay, steady biomass balance requires μ=D=1/HRT. Thus μ₁=1/24 and μ₂=1/12 h⁻¹=2μ₁. Equivalently **μ₁=.5μ₂,B**. The premise that a new steady culture survives excludes washout.

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