Question:
In the Arrhenius equation, $\exp\left(-\frac{E_{a}}{RT}\right)$, is equal to
In the Arrhenius equation, $\exp\left(-\frac{E_{a}}{RT}\right)$, is equal to
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The term $A$ tracks total collisions per second, while the exponent $\exp(-E_{a}/RT)$ filters the fraction of those collisions energetic enough to react.
Updated On: Jun 3, 2026
- Frequency factor
- Fraction of molecules that have energy higher than $E_{a}$
- Rate of the reaction
- Rate constant of the reaction
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The Correct Option is B
Solution and Explanation
Step 1: Concept
The Arrhenius equation models the temperature dependence of chemical reaction rates: $k = A \cdot \exp\left(-\frac{E_{a}}{RT}\right)$, where $A$ is the frequency factor and $E_{a}$ is the activation energy.
Step 2: Meaning
In collision theory, not all collisions result in a chemical reaction. Reactants must possess a minimum threshold energy, called the activation energy ($E_{a}$), to break existing bonds and form products.
Step 3: Analysis
The exponential term $\exp\left(-\frac{E_{a}}{RT}\right)$ stems from the Maxwell-Boltzmann distribution of molecular energies. It represents the specific statistical fraction of total colliding reactant molecules that have kinetic energy equal to or greater than the required activation energy barrier ($E_{a}$) at a given temperature $T$.
Step 4: Conclusion
This definition matches option (B) directly.
Final Answer: (B)
The Arrhenius equation models the temperature dependence of chemical reaction rates: $k = A \cdot \exp\left(-\frac{E_{a}}{RT}\right)$, where $A$ is the frequency factor and $E_{a}$ is the activation energy.
Step 2: Meaning
In collision theory, not all collisions result in a chemical reaction. Reactants must possess a minimum threshold energy, called the activation energy ($E_{a}$), to break existing bonds and form products.
Step 3: Analysis
The exponential term $\exp\left(-\frac{E_{a}}{RT}\right)$ stems from the Maxwell-Boltzmann distribution of molecular energies. It represents the specific statistical fraction of total colliding reactant molecules that have kinetic energy equal to or greater than the required activation energy barrier ($E_{a}$) at a given temperature $T$.
Step 4: Conclusion
This definition matches option (B) directly.
Final Answer: (B)
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