Step 1: Identify the topic of the question.
The question relates to the principles of comminution (size reduction), which describes the energy required to break down particles. Three main theories describe this relationship: Rittinger's law, Kick's law, and Bond's law.
Step 2: Define the relevant laws of comminution.
Rittinger's Law: States that the energy required for size reduction is directly proportional to the new surface area created. This theory assumes that all energy is used to create new surfaces. It is most accurate for fine grinding where the increase in surface area is significant.
Kick's Law: States that the energy required is proportional to the reduction in volume of the particles. It's more applicable for coarse crushing of large particles where little new surface area is created.
Bond's Law: An intermediate theory stating that the energy used is proportional to the new crack length produced. It is often considered more practical as it applies to a wider range of particle sizes.
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Step 3: Match the question's statement to the correct law.
The question explicitly states that the energy is "proportional to the change in surface area". This is the definition of Rittinger's law.