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ICAR AIEEA-PG / PGS Food Process Modelling, Simulation & Optimisation: practice questions

ICAR AIEEA-PG / PGS — Code 18 Food Science Technology · India · ICAR through the National Testing Agency

Original practice questions written to the published syllabus · not past papers
10worked here, free
16written to this exam in this subject
4syllabus units

What this subject covers

Building and using models of food processes: kinetic models of quality and microbial change, numerical solution of heat and mass transfer, computational fluid dynamics, multi-objective optimisation, data-driven and machine-learning models, and digital twins of food plants.

In the exams: PhD research; ICAR AIEEA-PG Code 18 Unit II (system analysis, automation and online data acquisition)

Where the 16 questions fall

How our questions for ICAR AIEEA-PG / PGS spread across the units of Food Process Modelling, Simulation & Optimisation. Difficulty: 6 easy, 10 medium, 0 hard.

Modelling simultaneous heat and mass transfer in drying and frying5
Kinetic modelling of quality, nutrient and microbial changes4
Modelling heat transfer in thermal processing4
Types of models: empirical, mechanistic and data-driven3

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Types of models: empirical, mechanistic and data-driven · medium

A food slab of half-thickness 0.01 m (k = 0.5 W/m·K) is cooled with h = 20 W/m²·K. What is the Biot number, and is a lumped model adequate?

  1. 0.04; yes, lumped analysis is fine
  2. 0.4; no, internal gradients matter
  3. 40; yes, external resistance dominates
  4. 0.4; yes, because it is below 1
Answer and working

B. 0.4; no, internal gradients matter

Bi = hL/k = 20 × 0.01/0.5 = 0.4, above about 0.1, so internal temperature gradients cannot be ignored. 40 inverts k/h; 0.04 uses L = 0.001 m; a value below 1 is not the lumped criterion.

Further reading: Tijskens, Hertog and Nicolaï, Food Process Modelling

2 · Types of models: empirical, mechanistic and data-driven · easy

Which type of model is derived from conservation laws and transport equations?

  1. Empirical (black-box)
  2. Mechanistic (white-box)
  3. Random-number model
  4. Purely statistical regression
Answer and working

B. Mechanistic (white-box)

Mechanistic models use physical, chemical and biological laws; empirical models fit observed data.

Further reading: Tijskens, Hertog and Nicolaï, Food Process Modelling

3 · Types of models: empirical, mechanistic and data-driven · medium

What is the Fourier number for α = 1.4 × 10⁻⁷ m²/s, t = 1800 s and L = 0.02 m?

  1. 0.13
  2. 0.0126
  3. 0.63
  4. 6.3
Answer and working

C. 0.63

Fo = αt/L² = 1.4 × 10⁻⁷ × 1800/0.0004 = 0.63. 0.0126 forgets to square L; 6.3 and 0.13 slip factors.

Further reading: Tijskens, Hertog and Nicolaï, Food Process Modelling

4 · Kinetic modelling of quality, nutrient and microbial changes · medium

Using the Ratkowsky model √μ_max = b(T − T_min) with b = 0.03 and T_min = −2 °C, what is μ_max at 8 °C?

  1. 0.18 h⁻¹
  2. 0.09 h⁻¹
  3. 0.0009 h⁻¹
  4. 0.30 h⁻¹
Answer and working

B. 0.09 h⁻¹

√μ = 0.03 × (8 + 2) = 0.30, so μ = 0.30² = 0.09 h⁻¹. 0.30 forgets to square; 0.18 uses T − T_min = 6; 0.0009 squares b only.

Further reading: McKellar and Lu, Modeling Microbial Responses in Food

5 · Kinetic modelling of quality, nutrient and microbial changes · easy

A Weibull survivor curve has shape parameter p = 0.6. What shape does it show?

  1. A curve that rises again
  2. A concave curve with tailing
  3. A convex curve with a shoulder
  4. A straight log-linear line
Answer and working

B. A concave curve with tailing

p < 1 gives tailing; p > 1 a shoulder; p = 1 log-linear.

Further reading: McKellar and Lu, Modeling Microbial Responses in Food

6 · Kinetic modelling of quality, nutrient and microbial changes · medium

A spore has D₁₂₁ = 4.0 min and z = 10 °C. What is D at 125 °C?

  1. 1.59 min
  2. 0.40 min
  3. 1.60 min
  4. 10.0 min
Answer and working

A. 1.59 min

D = 4.0/10^((125 − 121)/10) = 4.0/2.51 = 1.59 min. 1.60 uses a linear 40% reduction; 0.40 applies a full z step; 10.0 multiplies.

Further reading: McKellar and Lu, Modeling Microbial Responses in Food

7 · Kinetic modelling of quality, nutrient and microbial changes · easy

What is the role of a secondary model in predictive microbiology?

  1. Describing the growth curve at constant conditions
  2. Linking primary-model parameters to conditions
  3. Packaging the predictions into user software
  4. Measuring microbial counts in the laboratory
Answer and working

B. Linking primary-model parameters to conditions

Primary models describe curves; secondary models link parameters to temperature, pH, a_w; tertiary models are software.

Further reading: McKellar and Lu, Modeling Microbial Responses in Food

8 · Modelling heat transfer in thermal processing · medium

Where is the slowest-heating zone of a liquid heated by natural convection in a still can?

  1. Near the bottom of the container
  2. Exactly at the geometric centre
  3. At the can wall
  4. At the top under the lid
Answer and working

A. Near the bottom of the container

Hot liquid rises along the wall and cooler liquid collects lower down, at about 10–15% of height from the base.

Further reading: Singh and Heldman, Introduction to Food Engineering; Datta, Biological and Bioenvironmental Heat and Mass Transfer

9 · Modelling heat transfer in thermal processing · medium

Why are cook values calculated with a z value of 20 to 40 °C or more rather than 10 °C?

  1. The cook value is expressed in degrees rather than minutes
  2. Quality attributes never change during heating
  3. Quality is less temperature-sensitive than spores
  4. Spores have z values of about 40 °C or more
Answer and working

C. Quality is less temperature-sensitive than spores

Quality degradation has lower activation energy, hence higher z.

Further reading: Singh and Heldman, Introduction to Food Engineering; Datta, Biological and Bioenvironmental Heat and Mass Transfer

10 · Modelling simultaneous heat and mass transfer in drying and frying · medium

A Page model MR = exp(−ktⁿ) has k = 0.01 min⁻ⁿ and n = 1.2. What is MR after 60 min?

  1. 0.74
  2. 0.01
  3. 0.55
  4. 0.26
Answer and working

D. 0.26

60^1.2 = 136.1; MR = exp(−0.01 × 136.1) = 0.26. 0.55 uses n = 1 (exp(−0.6)); 0.74 uses t^0.5; 0.01 confuses MR with k.

Further reading: Datta, Biological and Bioenvironmental Heat and Mass Transfer

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Read the subject

Food Process Modelling, Simulation & OptimisationThe full study manual, free ICAR AIEEA-PG / PGSFormat, sections and how it has changed

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