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In the Arrhenius equation, k = A exp^(-E...

In the Arrhenius equation, `k = A exp^(-Ea//RT)`, A may be termed as the rate constant at…………. .

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To solve the question regarding the Arrhenius equation, we need to analyze the equation and understand the significance of the term A in different scenarios. ### Step-by-Step Solution: 1. **Understanding the Arrhenius Equation**: The Arrhenius equation is given by: \[ k = A \exp\left(-\frac{E_a}{RT}\right) \] where: - \( k \) is the rate constant, - \( A \) is the pre-exponential factor (also known as the frequency factor), - \( E_a \) is the activation energy, - \( R \) is the universal gas constant, - \( T \) is the temperature in Kelvin. 2. **Analyzing the Scenario of Infinite Temperature**: - As the temperature \( T \) approaches infinity, the term \(-\frac{E_a}{RT}\) approaches zero. - Therefore, we can express this as: \[ \lim_{T \to \infty} \exp\left(-\frac{E_a}{RT}\right) = \exp(0) = 1 \] - Substituting this back into the Arrhenius equation gives: \[ k = A \cdot 1 = A \] - This indicates that at infinite temperature, the rate constant \( k \) equals the frequency factor \( A \). 3. **Analyzing the Scenario of Zero Activation Energy**: - If we set the activation energy \( E_a \) to zero, the equation simplifies to: \[ k = A \exp(0) = A \cdot 1 = A \] - This shows that when the activation energy is zero, the rate constant \( k \) also equals the frequency factor \( A \). 4. **Conclusion**: - From both scenarios analyzed (infinite temperature and zero activation energy), we conclude that: - The term \( A \) in the Arrhenius equation can be termed as the rate constant at zero activation energy or at infinite temperature. ### Final Answer: In the Arrhenius equation, \( k = A \exp\left(-\frac{E_a}{RT}\right) \), \( A \) may be termed as the rate constant at zero activation energy or at infinite temperature. ---

To solve the question regarding the Arrhenius equation, we need to analyze the equation and understand the significance of the term A in different scenarios. ### Step-by-Step Solution: 1. **Understanding the Arrhenius Equation**: The Arrhenius equation is given by: \[ k = A \exp\left(-\frac{E_a}{RT}\right) ...
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