Question Bank • QB_APE_EXP_078 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Size Reduction and Material Handling

Subtopic: Mechanics and energy requirement in size reduction of agriculture produce

Question Statement:

Using Kick's law $E = K_K \ln(d_1 / d_2)$, calculate the energy required in $\text{kJ/kg}$ to crush agricultural produce from $d_1 = 20\text{ mm}$ to $d_2 = 5\text{ mm}$ if the Kick's constant is $K_K = 12.5\text{ kJ/kg}$.

Answer Key:

17.33

Step-by-Step Solution & Explanation

$E = K_K \ln\left(\frac{d_1}{d_2}\right) = 12.5 \times \ln\left(\frac{20}{5}\right) = 12.5 \times \ln(4) = 12.5 \times 1.38629 \approx 17.329\text{ kJ/kg}$
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