Step 1: Recall the Arrhenius equation.
The Arrhenius equation is \( k = A\,e^{-\frac{E_a}{RT}} \), where each symbol has a specific meaning.
Step 2: Identify each symbol.
\( k \) = rate constant, \( A \) = frequency factor (pre-exponential factor), \( R \) = universal gas constant, \( T \) = temperature in Kelvin.
Step 3: Focus on Ea.
Ea is the minimum energy that reacting molecules must possess for a reaction to occur. It sits in the exponent and controls how strongly temperature affects the rate.
Step 4: Eliminate the distractors.
Option 1 (Frequency factor) is actually \( A \). Option 3 (Universal gas constant) is \( R \). Option 4 (Order of reaction) is not part of the Arrhenius equation at all.
Step 5: Confirm the answer.
Ea represents the energy barrier molecules must cross for a reaction to proceed. A higher Ea means the reaction is slower at the same temperature.
Answer: Option (2) — Activation energy of the reaction