With respect to the equation, `k = Ae^(-E_a/RT)` in chemical kinetics, which one of the following statements is correct?

Options

A. R is Boltzmann constant
B. `E_a` is energy of activation
C. A is concentration of reactant molecule
D. k is equilibrium constant

Answer

To solve the question regarding the equation \( k = Ae^{-\frac{E_a}{RT}} \) in chemical kinetics, we need to analyze the components of the equation and their significance.

### Step-by-Step Solution:

1. **Understanding the Equation**:
The equation \( k = Ae^{-\frac{E_a}{RT}} \) represents the Arrhenius equation, which describes how the rate constant \( k \) of a chemical reaction depends on temperature \( T \) and activation energy \( E_a \).

2. **Identifying Components**:
- \( k \): Rate constant of the reaction.
- \( A \): Frequency factor or pre-exponential factor, which relates to the number of collisions that result in a reaction.
- \( E_a \): Activation energy, the minimum energy required for a reaction to occur.
- \( R \): Universal gas constant, approximately \( 8.314 \, \text{J/(mol K)} \).
- \( T \): Absolute temperature in Kelvin.

3. **Analyzing the Relationship**:
The equation shows that as the temperature \( T \) increases, the term \( \frac{E_a}{RT} \) decreases, leading to an increase in the value of \( k \). This indicates that higher temperatures generally increase reaction rates.

4. **Correct Statement Identification**:
The question asks for the correct statement regarding the equation. The correct interpretation of the components and their relationships is crucial. The second option mentioned in the video transcript is identified as correct.

5. **Conclusion**:
The correct statement regarding the Arrhenius equation is that it describes the temperature dependence of the rate constant \( k \) and highlights the role of activation energy \( E_a \) and the frequency factor \( A \).