Question Bank • QB_DFE_HMT_027 MSQ • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Water activity, sorption and desorption isotherms

Question Statement:

Which of the following characteristics distinguish the Guggenheim-Anderson-de Boer (GAB) sorption isotherm equation from the classical BET equation?

Options:

  • (A) The GAB equation accurately represents food sorption data across a broad water activity range ($0.10 < a_w < 0.90$), whereas the BET equation is restricted to $0.05 < a_w < 0.45$
  • (B) The GAB equation introduces a third parameter ($K$) accounting for the altered state of multilayer water relative to bulk liquid water
  • (C) When the parameter $K = 1.0$, the GAB model mathematically reduces to the two-parameter BET equation
  • (D) The GAB equation predicts that the monolayer capacity $m_0$ is strictly zero for all dairy powders

Answer Key:

A, B, C

Step-by-Step Solution & Explanation

Statements A, B, and C are correct: GAB extends BET to $a_w \approx 0.90$ by modifying multilayer interactions via parameter $K$ ($K < 1$). Setting $K = 1$ recovers the BET model. Option D is FALSE because $m_0$ represents the vital monolayer coverage.
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