Which one of the following does not represent Arrhenius equation?

Options

A. `K = Ae^(-E/(RT))`
B. `log_ek = log_eA - E/(RT)`
C. `log_10k = log_10 A - E/(2.303RT)`
D. `k =AE^(-RT)`

Answer

To solve the question, we need to identify which of the given options does not represent the Arrhenius equation. The Arrhenius equation is a fundamental equation in chemical kinetics that describes how the rate constant (k) of a reaction depends on temperature (T) and activation energy (E_A).

### Step-by-Step Solution:

1. **Understanding the Arrhenius Equation**:
The Arrhenius equation is expressed as:
\[ k = A e^{-\frac{E_A}{RT}} \]
where:
- \( k \) = rate constant
- \( A \) = pre-exponential factor (frequency factor)
- \( E_A \) = activation energy
- \( R \) = universal gas constant
- \( T \) = temperature in Kelvin

2. **Identifying Different Forms**:
The Arrhenius equation can be manipulated into different forms. For example:
- Taking the natural logarithm of both sides gives:
\[ \ln k = \ln A - \frac{E_A}{RT} \]
- This can also be converted to base 10 logarithm:
\[ \log_{10} k = \log_{10} A - \frac{E_A}{2.303RT} \]

3. **Analyzing the Options**:
We need to analyze the provided options to see which one does not match the standard forms of the Arrhenius equation.

4. **Identifying the Incorrect Option**:
- If one of the options is written as:
\[ k = A e^{-\frac{E}{RT}} \]
where \( E \) is not specified as \( E_A \) (activation energy), it may imply that it represents a different context or is incorrectly stated.
- If the option states something like \( k = A e^{-\frac{E}{RT}} \) without specifying \( E_A \), this could be misleading and does not represent the Arrhenius equation accurately.

5. **Conclusion**:
After analyzing the options, the one that does not represent the Arrhenius equation is:
\[ k = A e^{-\frac{E}{RT}} \]
if \( E \) is not clearly defined as activation energy.

### Final Answer:
The option that does not represent the Arrhenius equation is the one that states \( k = A e^{-\frac{E}{RT}} \) without specifying \( E_A \).

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