From the following data, obtained at 750 °C, determine the rate law for the reaction. Experiment [A] (M) [B] (M) Initial rate (M/s) 1 0.946 0.410 0.0880 2 0.473 0.410 0.0440 3 0.946 0.137 0.0294 O 0.227 M1s1 O 0.227 Ms 1 0.227 M1s O 0.227s1

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### Rate Law Determination from Experimental Data

The following data, obtained at 750 °C, is used to determine the rate law for a chemical reaction. The table below shows the concentrations of reactants [A] and [B] in molarity (M), along with the initial rate of reaction (M/s).

| Experiment | [A] (M) | [B] (M) | Initial Rate (M/s) |
|------------|---------|---------|-------------------|
| 1          | 0.946   | 0.410   | 0.0880            |
| 2          | 0.473   | 0.410   | 0.0440            |
| 3          | 0.946   | 0.137   | 0.0294            |

#### Multiple-Choice Options for Rate Constant (k) Units:
- ☐ 0.227 M⁻¹s⁻¹
- ☐ 0.227 Ms⁻¹
- ☐ 0.227 M⁻¹s
- ☐ 0.227 s⁻¹

To determine the rate law, analyze how changes in the concentrations of [A] and [B] affect the initial rate. Use these observations to identify the order of the reaction with respect to each reactant and determine the rate constant.

### Explanation of the Experimental Approach:
1. **Compare Experiments 1 and 2**: Concentrations of [B] are constant, while [A] is halved, resulting in the rate being halved. This indicates first-order dependence on [A].
   
2. **Compare Experiments 1 and 3**: Concentration of [A] is constant, while [B] is reduced significantly. Observe changes in the rate for order determination with respect to [B].

By assessing these variations, one can deduce the overall rate law expression for the reaction.
Transcribed Image Text:### Rate Law Determination from Experimental Data The following data, obtained at 750 °C, is used to determine the rate law for a chemical reaction. The table below shows the concentrations of reactants [A] and [B] in molarity (M), along with the initial rate of reaction (M/s). | Experiment | [A] (M) | [B] (M) | Initial Rate (M/s) | |------------|---------|---------|-------------------| | 1 | 0.946 | 0.410 | 0.0880 | | 2 | 0.473 | 0.410 | 0.0440 | | 3 | 0.946 | 0.137 | 0.0294 | #### Multiple-Choice Options for Rate Constant (k) Units: - ☐ 0.227 M⁻¹s⁻¹ - ☐ 0.227 Ms⁻¹ - ☐ 0.227 M⁻¹s - ☐ 0.227 s⁻¹ To determine the rate law, analyze how changes in the concentrations of [A] and [B] affect the initial rate. Use these observations to identify the order of the reaction with respect to each reactant and determine the rate constant. ### Explanation of the Experimental Approach: 1. **Compare Experiments 1 and 2**: Concentrations of [B] are constant, while [A] is halved, resulting in the rate being halved. This indicates first-order dependence on [A]. 2. **Compare Experiments 1 and 3**: Concentration of [A] is constant, while [B] is reduced significantly. Observe changes in the rate for order determination with respect to [B]. By assessing these variations, one can deduce the overall rate law expression for the reaction.
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