Which of the following is correct for Arrhenius equation `k=Ae^(-E_(a)//RT)`

Options

A. k is the rate of reaction
B. A may be termed as the rate constannt at very high temperature
C. A may be termed as the rate constant at zero activation energy
D. `E_(a)` is the activation energy of reactants

Explanation

To solve the question regarding the Arrhenius equation \( k = A e^{-\frac{E_a}{RT}} \), we will analyze each option provided to determine which statements are correct.

### Step-by-Step Solution:

1. **Understanding the Arrhenius Equation**:
- The Arrhenius equation describes how the rate constant \( k \) of a reaction depends on temperature \( T \) and activation energy \( E_a \).
- Here, \( A \) is known as the pre-exponential factor or Arrhenius factor, \( E_a \) is the activation energy, \( R \) is the universal gas constant, and \( T \) is the absolute temperature in Kelvin.

2. **Analyzing Each Option**:
- **Option 1**: "k is the rate of reaction."
- This statement is **incorrect**. \( k \) is the rate constant, not the rate of the reaction itself. The rate of the reaction is often expressed as \( \text{Rate} = k[\text{Reactants}]^n \).

- **Option 2**: "A may be termed as the rate constant at very high temperature."
- This statement is **correct**. At very high temperatures, the term \( e^{-\frac{E_a}{RT}} \) approaches 1, making \( k \approx A \). Thus, \( A \) can be considered the rate constant under these conditions.

- **Option 3**: "A may be termed as the rate constant at zero activation energy."
- This statement is also **correct**. If \( E_a = 0 \), then \( k = A e^{0} = A \). Therefore, \( A \) represents the rate constant when the activation energy is zero.

- **Option 4**: "Ea is the activation energy of the reactant."
- This statement is **correct**. \( E_a \) indeed represents the activation energy required for the reactants to convert into products.

3. **Conclusion**:
- The correct statements regarding the Arrhenius equation are:
- Option 2: A may be termed as the rate constant at very high temperature.
- Option 3: A may be termed as the rate constant at zero activation energy.
- Option 4: \( E_a \) is the activation energy of the reactant.

### Final Answer:
The correct options are 2, 3, and 4.

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