The GATE Grind

GATE 2022 AG – Question 19

Agricultural Process Engineering · Size Reduction and Material Handling · 1 mark · Multiple choice

Size-reduction energy obeys $dE/dX=-C/X^n$. What is n in Rittinger’s law?

  1. $1/2$
  2. $\sqrt2$
  3. $3/2$
  4. 2

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Correct answer: (D) 2

Explanation

Rittinger relates energy to new surface area, giving $E=C(1/X_2-1/X_1)$. Differentiating with respect to final size gives $dE/dX=-C/X^2$. Therefore **n=2, D**. Kick’s law corresponds to n=1 and Bond’s law to n=3/2.

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