Question:medium

Which among the following law is used for calculating energy requirement during size reduction?
(A). Bond's law
(B). Kick's law
(C). Henderson law
(D). Rittinger's law
Choose the correct answer from the options given below:

Show Hint

Kick's, Rittinger's, and Bond's laws are the fundamental "Big Three" size reduction laws.
Henderson's equation is strictly for thermodynamic moisture equilibrium in grains.
  • (A), (B) and (D) only.
  • (A), (B), (C) and (D).
  • (B), (C) and (D) only.
  • (A) and (B) only.
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Recall the three classical size-reduction energy laws.
Rittinger's law states that the energy needed is proportional to the new surface area created, and works best for fine grinding. Kick's law states that the energy needed is proportional to the logarithm of the size reduction ratio, and suits coarse crushing. Bond's law lies between the two, relating energy to the reciprocal of the square root of particle size through a material-specific work index, and is the most generally applied of the three.
Step 2: Check whether Henderson's law belongs to this group.
Henderson's equation is a thin-layer drying relation that connects the equilibrium moisture content of a grain to the surrounding air's relative humidity and temperature, it is used in drying and storage calculations, and has no connection at all to the mechanical energy needed to break particles into smaller pieces.
Step 3: Conclude.
Only Bond's, Kick's and Rittinger's laws are genuine energy-size reduction relationships, Henderson's law is unrelated to size reduction, so the correct set is (A), (B) and (D) only.
\[ \boxed{(A), (B) and (D) only.} \]
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