enus equation The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy E=45.0 kJ/mol. If the rate constant of this reaction is 1.2 x 106 M1. 1 at 328.0 °C, what will the rate constant be at 293.0 °C? Round your answer to 2 significant digits. -1 k = M¹ s¹ db X S ? A

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**Using the Arrhenius Equation to Calculate \( k \) at One Temperature**

### Problem Statement:

The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy \( E_a = 45.0 \) kJ/mol. If the rate constant of this reaction is \( 1.2 \times 10^6 \) M\(^{-1}\)s\(^{-1}\) at 328.0 °C, what will the rate constant be at 293.0 °C?

*Round your answer to 2 significant digits.*

### Given Data:
- \( k_1 = 1.2 \times 10^6 \) M\(^{-1}\)s\(^{-1}\)
- Temperature \( T_1 = 328.0 \) °C
- Temperature \( T_2 = 293.0 \) °C
- Activation Energy \( E_a = 45.0 \) kJ/mol

### Answer Box:
\[
k = [\Box] \, \text{M}^{-1}\text{s}^{-1}
\]
- Options for answer:
  - X
  - 5
  - ?

**Note:** This problem requires the application of the Arrhenius equation to determine the rate constant at a different temperature. Use appropriate mathematical conversions and constants to find the solution.
Transcribed Image Text:**Using the Arrhenius Equation to Calculate \( k \) at One Temperature** ### Problem Statement: The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy \( E_a = 45.0 \) kJ/mol. If the rate constant of this reaction is \( 1.2 \times 10^6 \) M\(^{-1}\)s\(^{-1}\) at 328.0 °C, what will the rate constant be at 293.0 °C? *Round your answer to 2 significant digits.* ### Given Data: - \( k_1 = 1.2 \times 10^6 \) M\(^{-1}\)s\(^{-1}\) - Temperature \( T_1 = 328.0 \) °C - Temperature \( T_2 = 293.0 \) °C - Activation Energy \( E_a = 45.0 \) kJ/mol ### Answer Box: \[ k = [\Box] \, \text{M}^{-1}\text{s}^{-1} \] - Options for answer: - X - 5 - ? **Note:** This problem requires the application of the Arrhenius equation to determine the rate constant at a different temperature. Use appropriate mathematical conversions and constants to find the solution.
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