Question Bank • QB_DFE_EXP_105 NAT • 2 Marks

Section 7: Dairy and Food Engineering

Heat and Mass Transfer

Subtopic: Water activity, sorption and desorption isotherms

Question Statement:

In the Guggenheim-Anderson-de Boer (GAB) sorption isotherm equation $m = \frac{m_0 C K a_w}{(1 - K a_w)(1 - K a_w + C K a_w)}$, if the monolayer moisture is $m_0 = 0.05\text{ g/g}$, $C = 20.0$, $K = 0.80$, and at water activity $a_w = 0.50$, calculate the term $K a_w$.

Answer Key:

0.4

Step-by-Step Solution & Explanation

$K a_w = 0.80 \times 0.50 = 0.40$
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