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GATE Fundamentals of Biological Engineering: Bioreaction Engineering: Kinetics of cell growth, substrate utilization and product formation, structured and unstructured models – Previous Year Questions

34 GATE previous year questions on Bioreaction Engineering: Kinetics of cell growth, substrate utilization and product formation, structured and unstructured models (Fundamentals of Biological Engineering, Biotechnology) with answers and explanations, from every paper.

  1. GATE 2021 BT Q20 (1 mark, Multiple choice) – Under standard T and P, 128 g of ideal gas A occupies 1 L and obeys RT=0.25PV. R is the universal gas constant. A is
  2. GATE 2021 BT Q34 (1 mark, Numerical answer) – Two reactors contain ideal gases: R1 has 5 L at 9 atm, R2 has 10 L at 6 atm. Opening their connecting valve at constant temperature gives equilibrium…
  3. GATE 2021 BT Q36 (2 marks, Multiple choice) – Which plot represents non-growth-associated product formation? X and P are viable-cell and product concentrations.
  4. GATE 2021 BT Q56 (2 marks, Numerical answer) – A mold grows exponentially at 0.15 h⁻¹. Its concentration at 30 h is 33 g/L. Concentration at 24 h (nearest integer g/L) is .
  5. GATE 2021 BT Q60 (2 marks, Numerical answer) – A binary feed F 1 splits into F 2 bypass and F 3 separator feed. Separation gives F 4,F 5; mixer combines F 2,F 5 into F 6. Stream compositions are x…
  6. GATE 2021 BT Q62 (2 marks, Numerical answer) – Milk in a stainless-steel inner tube (inner diameter 40 mm) is heated from 10°C to 85°C by steam condensing at 120°C. Heat transfer is 146200 kcal/h…
  7. GATE 2021 BT Q65 (2 marks, Numerical answer) – For 2CH 3CH 2OH+2O 22CH 3COOH+2H 2O, the thermodynamic maximum acetic-acid yield from ethanol (two decimal places g/g) is .
  8. GATE 2022 BT Q13 (1 mark, Multiple choice) – For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are 100 and 200 W m-2 K-1, respectively. The thickness and thermal…
  9. GATE 2022 BT Q16 (1 mark, Multiple choice) – The overall stoichiometry is 3C 6H 12O 6+2.5NH 3+O 21.5C aH bO cN d+3CO 2+5H 2O. What is the biomass elemental formula?
  10. GATE 2022 BT Q28 (1 mark, Numerical answer) – A batch culture has apparent yield 0.5 g biomass/g substrate and initial biomass and glucose concentrations 2 g/L and 200 g/L. With no endogenous…
  11. GATE 2022 BT Q29 (1 mark, Numerical answer) – The degree of reduction of lactic acid (C3H6O3) is .
  12. GATE 2022 BT Q33 (1 mark, Numerical answer) – The specific growth rate of a yeast having a doubling time of 0.693 h (rounded off to nearest integer) is h-1.
  13. GATE 2022 BT Q34 (1 mark, Numerical answer) – A broth has density 1000\ kg/m3 and viscosity 10-3\ kg\ m-1s-1. A 100 L fermenter uses a 0.1 m impeller at 2\ s-1. The impeller Reynolds number is .
  14. GATE 2022 BT Q35 (1 mark, Numerical answer) – The melting-line slope at −2°C is -5.0665106\ Pa/K and liquid-minus-solid molar volume is -4.510-6\ m3/mol. The latent heat of fusion (J/mol, nearest…
  15. GATE 2022 BT Q57 (2 marks, Numerical answer) – The diagram depicts production of B from A in a cell. Subscript i denotes intracellular metabolites and r j is flux in g/(g dry mass h). At…
  16. GATE 2022 BT Q60 (2 marks, Numerical answer) – Oxygen bulk and saturation concentrations are 10-4 and 10-3 mol/L, uptake is 910-4 mol/(L s), and interfacial area is 100\ m2/m3. The steady liquid…
  17. GATE 2022 BT Q61 (2 marks, Numerical answer) – An insulated cylinder contains 1 mol ideal gas at 300 K. A weightless frictionless piston suddenly rises by 1 m against atmospheric pressure 1.013105…
  18. GATE 2022 BT Q62 (2 marks, Numerical answer) – Aerobic yeast has growth rate 0.5\ h-1 and stoichiometry 2C 6H 12O 6+0.2NH 3+10.35O 2 CH 1.8O 0.5N 0.2+0.2C 2H 6O+10.6CO 2+10.8H 2O. Combustion heats…
  19. GATE 2022 BT Q65 (2 marks, Numerical answer) – An aerobic bacterial culture at 37°C starts with 102 cells and reaches 105 after 10 h. The doubling time (nearest integer h) is .
  20. GATE 2023 BT Q46 (2 marks, Numerical answer) – The following reaction represents biomass synthesis from hexadecane: C 16H 34+12.5O 2+2.13NH 310.6CH 1.66O 0.27N 0.27+5.37CO 2+11.4H 2O. The value of…
  21. GATE 2023 BT Q62 (2 marks, Numerical answer) – A dilatant fluid has consistency index K=0.415 (CGS) and flow index n=1.23. Its apparent viscosity (g\ cm-1s-1) at shear rate 60\ s-1, rounded to the…
  22. GATE 2023 BT Q63 (2 marks, Numerical answer) – An evaporator has 0.15 m glass-wool insulation, inner and outer temperatures 700°C and 80°C, mean conductivity 0.29\ W\ m-1K-1 and wall area 1.2\ m2.…
  23. GATE 2026 BT Q34 (1 mark, Numerical answer) – Given below is the Gibbs free energy change ( G) in kilo Joules per electron equivalent (kJ e-eq-1) at pH 7.0, of organic and inorganic half…
  24. GATE 2026 BT Q40 (2 marks, Multiple choice) – By elemental analysis of a biomass sample, it was found that the cells in the given sample are composed of (by weight) C=50%, H=8%, O=20%, N=10% and…
  25. GATE 2026 BT Q55 (2 marks, Numerical answer) – A microbial culture (following Monod model for growth) has a maximum specific growth rate of 0.1 h-1, Monod constant of 1 mg L-1 and endogenous decay…
  26. GATE 2026 BT Q57 (2 marks, Numerical answer) – The electron equivalent per liter (e-eq L-1) of acetate ion solution of concentration 10 g L-1 is e-eq L-1. (rounded off to one decimal place)
  27. GATE 2025 BT Q26 (1 mark, Multiple select) – Which of the following compounds have the same degree of reduction per carbon-mole?
  28. GATE 2025 BT Q28 (1 mark, Numerical answer) – If the doubling time of a bacterial population is 3 hours, then its average specific growth rate during this period is h-1. (Round off to two decimal…
  29. GATE 2025 BT Q58 (2 marks, Numerical answer) – In a fermentation process, each mole of glucose is converted to biomass (CH 1.8O 0.5N 0.2), with a biomass yield coefficient of 0.4 C-mol/C-mol,…
  30. GATE 2024 BT Q33 (1 mark, Numerical answer) – The degree of reduction (reductance) for oxalic acid (C 2H 2O 4) is .
  31. GATE 2024 BT Q34 (1 mark, Numerical answer) – If the rate at which E. coli divides is 0.5 h-1, then its doubling time is h.
  32. GATE 2024 BT Q52 (2 marks, Multiple select) – Which of the following factors can affect the growth of a microbial culture in a batch cultivation process?
  33. GATE 2024 BT Q58 (2 marks, Numerical answer) – E. coli is inoculated in a shake flask containing nutrient rich medium. The initial number of viable cells in the medium is 102. After few hours, the…
  34. GATE 2024 BT Q60 (2 marks, Numerical answer) – A fed batch process is running at quasi-steady state with respect to substrate and biomass concentration. At 2 h, the culture volume is 500 L with a…