Step 1: Identify the question's topic. The question concerns comminution principles (size reduction), specifically the energy needed for particle breakdown. Key theories include Rittinger's law, Kick's law, and Bond's law.
Step 2: Define comminution laws.
Rittinger's Law: Energy required for size reduction is directly proportional to the new surface area. It's most accurate for fine grinding, where surface area increase is substantial.
Kick's Law: Energy required is proportional to the volume reduction. It's more applicable to coarse crushing of large particles, where minimal new surface area is created.
Bond's Law: Energy used is proportional to the new crack length. It's considered practical for a wider range of particle sizes.
Step 3: Match the statement to the correct law. The question states energy is "proportional to the change in surface area," which defines Rittinger's law.