Question Bank • QB_SUB_APE_0217 NAT • 2 Marks

Section 6: Agricultural Process Engineering

Size Reduction Mechanics & Energy Laws

Subtopic: Comparison of comminution laws applicability

Question Statement:

According to Kick's law ($E = K_K \ln(L_1 / L_2)$), crushing grain from $10\text{ mm}$ to $5\text{ mm}$ requires $8.0\text{ kJ/kg}$. The energy required to crush the same material from $5\text{ mm}$ to $2.5\text{ mm}$ (in kJ/kg) is:

Answer Key:

8.0

Step-by-Step Solution & Explanation

Kick's law depends solely on the size reduction ratio: $\frac{10}{5} = 2.0$ and $\frac{5}{2.5} = 2.0$. Since the reduction ratio is identical ($2.0$), the energy required is identical: $E = 8.00\text{ kJ/kg}$.
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