GATE AG 2025 • Q41 MSQ • 2 Marks

Section 7: Dairy and Food Engineering

Preservation of Food

Subtopic: Preservation of food by cooling and freezing

Question Statement:

Identify the assumption(s) which is/are NOT correct for deriving Plank's equation for food freezing time.

Options:

  • (A) Ice front moves from the freezing medium into the food block at a uniform rate.
  • (B) Physical property data of food material are accurate.
  • (C) Initially the whole food material is at a distinct freezing point.
  • (D) Sensible heat changes during the freezing process are sufficiently high.

Official Answer Key:

B, D

Step-by-Step Solution & Explanation

Plank's model assumes properties are constant (not necessarily that available property data are “accurate” — this framing is not a genuine model assumption) and, critically, it neglects sensible-heat effects, treating the freezing process as driven almost entirely by latent heat removal at a single freezing point with a uniformly advancing ice front. So the assumption that sensible-heat changes are “sufficiently high” contradicts the model (D), and (B) is not a valid physical assumption of the derivation. (A) and (C) are genuine simplifying assumptions of Plank's model.

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