The GATE Grind

GATE 2021 AG – Question 48

Agricultural Process Engineering · Size Reduction and Material Handling · 2 marks · Multiple choice

A crusher processes2 tonne/h using7.2 kW. Feed/product80%-passing sizes are4.75 and .5 mm. Find Bond work index.

  1. 6.5
  2. 7.4
  3. 11.9
  4. 14.8

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Correct answer: (C) 11.9

Explanation

Specific energy=7.2/2=3.6 kWh/tonne. Bond’s relation with sizes in µm is $E=10W_i(1/\sqrt{500}-1/\sqrt{4750})$. Hence $W_i=3.6/[10(.0447214-.0145095)]=11.916$,matching **11.9,C**. Millimetres must first be converted to micrometres in this convention.

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