For the reaction A → products, concentration and time data were collected. t (s) [A] (M) Enter these data into the graphing tool to determine the reaction order. 0.0 3.40 25.0 2.28 50.0 1.53 75.0 1.02 Graphing Tool Clear All Data [A] vs. t In[A] vs. t 1/[A] vs. t [A] In[A] 1/[A] t 3.4 3.4 1.223775 0.294118 25 2.28 0.824175 0.438596 2.822 50 1.53 0.425268 0.653595 2.244 75 1.02 0.019803 0.980392 1.666 + [V]

Chemistry
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Chapter1: Chemical Foundations
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## Reaction Order Determination

### Data Collection:

For the reaction \( A \rightarrow \) products, concentration and time data were collected as shown in the tables below. These data need to be entered into the graphing tool to determine the reaction order.

#### Time and Concentration Data:

| \( t \) (s) | [A] (M) |
|-------------|---------|
| 0.0         | 3.40    |
| 25.0        | 2.28    |
| 50.0        | 1.53    |
| 75.0        | 1.02    |

### Graphical Analysis:

#### Concentration Data Transformation:

| \( t \) (s) | [A]   | \(\ln[A]\) | \( \frac{1}{[A]} \) |
|-------------|-------|------------|---------------------|
| 0           | 3.4   | 1.223775   | 0.294118            |
| 25          | 2.28  | 0.824175   | 0.438596            |
| 50          | 1.53  | 0.425268   | 0.653595            |
| 75          | 1.02  | 0.019803   | 0.980392            |

#### Graph Interpretation:

- **[A] vs. \( t \) graph** is plotted to check for zero-order reaction:
  The graph shows a linear relationship with the equation \( y = -0.03156 x + 3.241000 \) and an \( r^2 = 0.971 \).
  
### Determine Reaction Order:

Based on the graphical analysis provided, students are asked to determine the reaction order.

#### Question:
What is the reaction order?
- [ ] 0
- [ ] 1
- [ ] 2

#### Concentration Calculation:

Calculate the concentration of A after 127 s using the determined reaction order.

\[ [A]_{127 \, \text{s}} = \_\_\_\_\_\_\_\_\_ \, \text{M} \]

Students should use the appropriate integrated rate law based on the determined reaction order to calculate this value.
Transcribed Image Text:## Reaction Order Determination ### Data Collection: For the reaction \( A \rightarrow \) products, concentration and time data were collected as shown in the tables below. These data need to be entered into the graphing tool to determine the reaction order. #### Time and Concentration Data: | \( t \) (s) | [A] (M) | |-------------|---------| | 0.0 | 3.40 | | 25.0 | 2.28 | | 50.0 | 1.53 | | 75.0 | 1.02 | ### Graphical Analysis: #### Concentration Data Transformation: | \( t \) (s) | [A] | \(\ln[A]\) | \( \frac{1}{[A]} \) | |-------------|-------|------------|---------------------| | 0 | 3.4 | 1.223775 | 0.294118 | | 25 | 2.28 | 0.824175 | 0.438596 | | 50 | 1.53 | 0.425268 | 0.653595 | | 75 | 1.02 | 0.019803 | 0.980392 | #### Graph Interpretation: - **[A] vs. \( t \) graph** is plotted to check for zero-order reaction: The graph shows a linear relationship with the equation \( y = -0.03156 x + 3.241000 \) and an \( r^2 = 0.971 \). ### Determine Reaction Order: Based on the graphical analysis provided, students are asked to determine the reaction order. #### Question: What is the reaction order? - [ ] 0 - [ ] 1 - [ ] 2 #### Concentration Calculation: Calculate the concentration of A after 127 s using the determined reaction order. \[ [A]_{127 \, \text{s}} = \_\_\_\_\_\_\_\_\_ \, \text{M} \] Students should use the appropriate integrated rate law based on the determined reaction order to calculate this value.
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