The following data were obtained for the reaction 2 CIO2(aq) + 2 OH (aq) → CIO3(aq) + ClO₂ (aq) + H₂O(l) [CIO₂]0 [OH-]o Initial Rate (mol/L) (mol/L) (mol L-¹ s-¹) 0.054 0.108 6.21X10-2 0.108 0.108 2.48X10-¹ 0.108 0.054 1.24X10-1 What is the numerical value for the rate constant?

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### Reaction Rate Data: 

The following data were obtained for the reaction:

\[ 2 \text{ClO}_2(aq) + 2 \text{OH}^-(aq) \rightarrow \text{ClO}_3^-(aq) + \text{ClO}_2^-(aq) + \text{H}_2\text{O}(l) \]

#### Table of Initial Conditions and Rates:

The table below presents the initial concentrations of \(\text{ClO}_2\) and \(\text{OH}^-\) and their corresponding initial reaction rates:

| \([ \text{ClO}_2]_0\) (mol/L) | \([ \text{OH}^-]_0\) (mol/L) | Initial Rate (mol L\(^{-1}\) s\(^{-1}\)) |
|------------------------------|-----------------------------|-------------------------------------------|
| 0.054                        | 0.108                       | \(6.21 \times 10^{-2}\)                    |
| 0.108                        | 0.108                       | \(2.48 \times 10^{-1}\)                    |
| 0.108                        | 0.054                       | \(1.24 \times 10^{-1}\)                    |

#### Question:
- **What is the numerical value for the rate constant?**

### Explanation of the Data Table:
The table showcases three sets of experiments where different initial concentrations of \(\text{ClO}_2\) and \(\text{OH}^-\) were used to determine how these concentrations affect the initial rate of the reaction.

- **First row:** When \([ \text{ClO}_2]_0\) is 0.054 mol/L and \([ \text{OH}^-]_0\) is 0.108 mol/L, the initial reaction rate is \(6.21 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\).
- **Second row:** When \([ \text{ClO}_2]_0\) is 0.108 mol/L and \([ \text{OH}^-]_0\) remains at 0.108 mol/L, the initial reaction rate increases to \(2.48 \times 10^{-1}\) mol L\(^{-1}\) s\(^{-1}\).
- **Third row:** When
Transcribed Image Text:### Reaction Rate Data: The following data were obtained for the reaction: \[ 2 \text{ClO}_2(aq) + 2 \text{OH}^-(aq) \rightarrow \text{ClO}_3^-(aq) + \text{ClO}_2^-(aq) + \text{H}_2\text{O}(l) \] #### Table of Initial Conditions and Rates: The table below presents the initial concentrations of \(\text{ClO}_2\) and \(\text{OH}^-\) and their corresponding initial reaction rates: | \([ \text{ClO}_2]_0\) (mol/L) | \([ \text{OH}^-]_0\) (mol/L) | Initial Rate (mol L\(^{-1}\) s\(^{-1}\)) | |------------------------------|-----------------------------|-------------------------------------------| | 0.054 | 0.108 | \(6.21 \times 10^{-2}\) | | 0.108 | 0.108 | \(2.48 \times 10^{-1}\) | | 0.108 | 0.054 | \(1.24 \times 10^{-1}\) | #### Question: - **What is the numerical value for the rate constant?** ### Explanation of the Data Table: The table showcases three sets of experiments where different initial concentrations of \(\text{ClO}_2\) and \(\text{OH}^-\) were used to determine how these concentrations affect the initial rate of the reaction. - **First row:** When \([ \text{ClO}_2]_0\) is 0.054 mol/L and \([ \text{OH}^-]_0\) is 0.108 mol/L, the initial reaction rate is \(6.21 \times 10^{-2}\) mol L\(^{-1}\) s\(^{-1}\). - **Second row:** When \([ \text{ClO}_2]_0\) is 0.108 mol/L and \([ \text{OH}^-]_0\) remains at 0.108 mol/L, the initial reaction rate increases to \(2.48 \times 10^{-1}\) mol L\(^{-1}\) s\(^{-1}\). - **Third row:** When
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