Question Bank • QB_APE_026 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Evaporation and Drying

Subtopic: Hydrothermal treatments

Question Statement:

During soaking of paddy grains at $60^\circ\text{C}$, the moisture absorption follows Peleg's equation: $M_t = M_0 + \frac{t}{k_1 + k_2 t}$, where $M_0$ and $M_t$ are moisture contents in % (dry basis) and $t$ is soaking time in minutes. If $M_0 = 14.0\%$, Peleg's rate constant $k_1 = 20.0\text{ min/}\%$, and capacity constant $k_2 = 0.04\text{ }\%^{-1}$, the moisture content of paddy after $100\text{ minutes}$ of soaking in % (dry basis) is ________ (round off to 1 decimal place).

Answer Key:

18.2

Step-by-Step Solution & Explanation

From Peleg's equation: $M_t = M_0 + \frac{t}{k_1 + k_2 t}$ Substitute $t = 100\text{ min}$, $M_0 = 14.0\%$, $k_1 = 20.0$, $k_2 = 0.04$: $k_1 + k_2 t = 20.0 + 0.04(100) = 20.0 + 4.0 = 24.0$ $\frac{t}{k_1 + k_2 t} = \frac{100}{24.0} = 4.1667\%$ $M_t = 14.0 + 4.1667 = 18.1667\% \approx 18.2\%\text{ d.b.}$
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