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In a bimolecular reaction, the steric fa...

In a bimolecular reaction, the steric factor P was experimentally determined to be 4.5. The correct options among the following is (are):

A

Experimentally determined value of frequency factor is higher than that predicted by Arrhenius equation

B

The value of frequency factor predicted by Arrhenius equation is higher than that determined experimentally

C

The activation energy of the reaction is unaffected by the value of the steric factor

D

Since `P = 4.5`, the reaction will not proceed unless an effective catalyst is used

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The correct Answer is:
To solve the problem regarding the bimolecular reaction with a steric factor \( P \) of 4.5, we will analyze the implications of this value on the frequency factor \( A \) and the activation energy \( E_a \). ### Step-by-Step Solution: 1. **Understanding Bimolecular Reactions**: - A bimolecular reaction involves two molecular species that collide to form products. The rate of such reactions is influenced by the orientation and energy of the colliding molecules. 2. **Steric Factor \( P \)**: - The steric factor \( P \) is a measure of the probability that the colliding molecules will have the correct orientation for a reaction to occur. It is experimentally determined and can be greater than, less than, or equal to 1. 3. **Given Information**: - In this case, \( P = 4.5 \), which indicates that the probability of effective collisions is significantly higher than average. 4. **Arrhenius Equation**: - The Arrhenius equation is given by: \[ k = A e^{-\frac{E_a}{RT}} \] - Here, \( k \) is the rate constant, \( A \) is the frequency factor, \( E_a \) is the activation energy, \( R \) is the gas constant, and \( T \) is the temperature. 5. **Relating \( P \) to the Frequency Factor**: - The relationship between the frequency factor \( A \) and the steric factor \( P \) can be expressed as: \[ A = Z \cdot P \] - Where \( Z \) is the collision frequency. Since \( P \) is greater than 1, it follows that \( A \) (the experimental frequency factor) must be greater than the theoretical frequency factor derived from the Arrhenius equation. 6. **Evaluating the Options**: - **Option 1**: The experimentally determined value of the frequency factor is higher than predicted by Arrhenius. This is correct because \( P > 1 \) implies \( A_{\text{experimental}} > A_{\text{theoretical}} \). - **Option 2**: The value of the frequency factor predicted by the Arrhenius equation is higher than that determined experimentally. This is incorrect based on our previous analysis. - **Option 3**: The activation energy of the reaction is unaffected by the value of the steric factor. This is correct because the activation energy is a separate parameter and is not influenced by the steric factor. - **Option 4**: The reaction will not produce unless an effective catalyst is used. This is incorrect because the high value of \( P \) suggests that the reaction can proceed without an effective catalyst. 7. **Conclusion**: - The correct options are **Option 1** and **Option 3**.

To solve the problem regarding the bimolecular reaction with a steric factor \( P \) of 4.5, we will analyze the implications of this value on the frequency factor \( A \) and the activation energy \( E_a \). ### Step-by-Step Solution: 1. **Understanding Bimolecular Reactions**: - A bimolecular reaction involves two molecular species that collide to form products. The rate of such reactions is influenced by the orientation and energy of the colliding molecules. 2. **Steric Factor \( P \)**: ...
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