Subtopic: Comparison of comminution laws applicability
Question Statement:
Among the classical size reduction laws, Kick's law applies best for:
Options:
(A) Coarse crushing where energy is primarily consumed in elastic deformation within the volume of large particles
(B) Ultra-fine grinding into sub-micron powder
(C) Intermediate range milling where Bond's work index is zero
(D) Fluid atomization in spray drying
Answer Key:
A
Step-by-Step Solution & Explanation
Applicability ranges:
- Kick's law ($E \propto \ln(d_1/d_2)$): coarse crushing ($d > 50\text{ mm}$), energy proportional to particle volume.
- Bond's law ($E \propto 1/\sqrt{d}$): intermediate grinding ($0.1 < d < 50\text{ mm}$).
- Rittinger's law ($E \propto 1/d$): fine grinding ($d < 0.1\text{ mm}$), energy proportional to new surface area created.