Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Reaction Rate Data Analysis**

**Instructions for Students:**
Please be sure to answer all parts of the question.

**Given Reaction:**
\[ 4A(g) + 3B(g) \rightarrow 2C(g) \]

**Experimental Data:**
The following data were obtained at a constant temperature:

| Experiment | Initial [A] (mol/L) | Initial [B] (mol/L) | Initial Rate (mol/L·min) |
|------------|---------------------|---------------------|--------------------------|
| 1          | 0.100               | 0.100               | 5                        |
| 2          | 0.300               | 0.100               | 45                       |
| 3          | 0.100               | 0.200               | 10                       |
| 4          | 0.300               | 0.200               | 90                       |

**Task:**
Determine the reaction order with respect to each reactant (A and B).

**Questions:**
1. **Reaction Order for A:**  [  ]
2. **Reaction Order for B:**  [  ]

**Analysis Tips:**
To determine the reaction order with respect to each reactant, observe how changes in the concentration of either reactant affect the reaction rate, while holding the other reactant's concentration constant. Use this information to deduce the reaction orders.

**Example Explanation:**
1. Comparing Experiments 1 and 2:
   - [A] changes from 0.100 to 0.300 (a factor of 3 increase).
   - [B] remains constant at 0.100.
   - Rate goes from 5 to 45 (a factor of 9 increase).

   Since \( 9 = 3^x \), we deduce \( x = 2 \). Therefore, the reaction order for A is 2.

2. Comparing Experiments 1 and 3:
   - [A] remains constant at 0.100.
   - [B] changes from 0.100 to 0.200 (a factor of 2 increase).
   - Rate goes from 5 to 10 (a factor of 2 increase).

   Thus, the reaction rate doubles when [B] doubles, indicating the reaction order for B is 1.

Use these observations to fill in the reaction orders in the boxes provided.
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Transcribed Image Text:**Reaction Rate Data Analysis** **Instructions for Students:** Please be sure to answer all parts of the question. **Given Reaction:** \[ 4A(g) + 3B(g) \rightarrow 2C(g) \] **Experimental Data:** The following data were obtained at a constant temperature: | Experiment | Initial [A] (mol/L) | Initial [B] (mol/L) | Initial Rate (mol/L·min) | |------------|---------------------|---------------------|--------------------------| | 1 | 0.100 | 0.100 | 5 | | 2 | 0.300 | 0.100 | 45 | | 3 | 0.100 | 0.200 | 10 | | 4 | 0.300 | 0.200 | 90 | **Task:** Determine the reaction order with respect to each reactant (A and B). **Questions:** 1. **Reaction Order for A:** [ ] 2. **Reaction Order for B:** [ ] **Analysis Tips:** To determine the reaction order with respect to each reactant, observe how changes in the concentration of either reactant affect the reaction rate, while holding the other reactant's concentration constant. Use this information to deduce the reaction orders. **Example Explanation:** 1. Comparing Experiments 1 and 2: - [A] changes from 0.100 to 0.300 (a factor of 3 increase). - [B] remains constant at 0.100. - Rate goes from 5 to 45 (a factor of 9 increase). Since \( 9 = 3^x \), we deduce \( x = 2 \). Therefore, the reaction order for A is 2. 2. Comparing Experiments 1 and 3: - [A] remains constant at 0.100. - [B] changes from 0.100 to 0.200 (a factor of 2 increase). - Rate goes from 5 to 10 (a factor of 2 increase). Thus, the reaction rate doubles when [B] doubles, indicating the reaction order for B is 1. Use these observations to fill in the reaction orders in the boxes provided.
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