Question Bank • QB_APE_EXP_028 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:

Bond's work index for an agricultural mineral feed is $W_i = 12.0\text{ kWh/tonne}$. Using Bond's equation $E = 10 W_i \left(\frac{1}{\sqrt{P_{80}}} - \frac{1}{\sqrt{F_{80}}}\right)$, where $P_{80} = 100\;\mu\text{m}$ and $F_{80} = 900\;\mu\text{m}$, the specific energy required in $\text{kWh/tonne}$ is ________ (answer in integer).

Answer Key:

8

Step-by-Step Solution & Explanation

Bond's equation: $E = 10 W_i \left(\frac{1}{\sqrt{P_{80}}} - \frac{1}{\sqrt{F_{80}}}\right)$ Given: • $W_i = 12.0\text{ kWh/tonne}$ • $\sqrt{P_{80}} = \sqrt{100} = 10.0$ • $\sqrt{F_{80}} = \sqrt{900} = 30.0$ $\frac{1}{\sqrt{P_{80}}} - \frac{1}{\sqrt{F_{80}}} = \frac{1}{10.0} - \frac{1}{30.0} = \frac{3 - 1}{30.0} = \frac{2}{30} = \frac{1}{15}$ $E = 10 \times 12.0 \times \frac{1}{15} = \frac{120.0}{15} = 8.0\text{ kWh/tonne}$
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