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
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
Chemistry
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Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa59a73bf-87c2-48f6-829d-0178c9223cc0%2F0261d04b-2639-4ebb-af6f-e31e7c82b55f%2F3x883hr_processed.jpeg&w=3840&q=75)
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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