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20-Bio-A5 Systems Analysis & Control: May 2017

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Quasi-Steady-State Equations for a Substrate-Inhibited Mechanism
  2. Question 2 Immobilized-Enzyme CSTR — Bead Volume and Diffusion Limitation
  3. Question 3 Batch Substrate-Inhibited Kinetics — Time to Half-Consume Substrate
  4. Question 4 Batch Fermentation with a Growth-Associated Product
  5. Question 5 Contois-Kinetics Chemostat with Cell Death
  6. Question 6 Fed-Batch Reactor — Volume and Pseudo-Steady-State Substrate Expressions

Start with Question 1 →

National Exams / EGBC — May 2017 — 04-Bio-A5 Enzyme and Microbial Kinetics. Three-hour open-book examination; any non-communicating calculator is permitted. Six questions constitute a complete paper (10 + 25 + 15 + 20 + 15 + 15 = 100 marks). Content spans quasi-steady-state derivation of a substrate-inhibited enzyme mechanism, diffusion-reaction in an immobilized-enzyme bead (Thiele modulus / effectiveness factor), the rapid-equilibrium integrated batch equation for substrate inhibition, a growth-associated-product batch fermentation, Contois-kinetics chemostat design, and fed-batch quasi-steady-state theory.

Reference texts: Bailey & Ollis, Biochemical Engineering Fundamentals (2nd ed.) — enzyme kinetics, substrate inhibition, immobilized-enzyme diffusion-reaction and effectiveness factors, Monod/Contois growth models, chemostat and fed-batch theory. All quantities are used exactly as printed on the exam (SI/CGS mixed units as given).