The following data are for the decomposition of dinitrogen pentoxide in carbon tetrachloride solution at 30 °C. N₂O5 →→→2 NO₂ + 12 02 [N₂05 ], M 0.200 0.100 5.00×10-² time, min 0 133 266 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is 133 (2) Based on these data, the rate constant for this reaction is min -¹. min. order 2.50x10-2 399
The following data are for the decomposition of dinitrogen pentoxide in carbon tetrachloride solution at 30 °C. N₂O5 →→→2 NO₂ + 12 02 [N₂05 ], M 0.200 0.100 5.00×10-² time, min 0 133 266 Hint: It is not necessary to graph these data. (1) The half life observed for this reaction is 133 (2) Based on these data, the rate constant for this reaction is min -¹. min. order 2.50x10-2 399
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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![### Decomposition of Dinitrogen Pentoxide in Carbon Tetrachloride Solution at 30 °C
**Reaction:**
\[ N_2O_5 \rightarrow 2 NO_2 + \frac{1}{2} O_2 \]
**Experimental Data:**
| \([ N_2O_5 ]\), M | 0.200 | 0.100 | 5.00 × 10⁻² | 2.50 × 10⁻² |
|-------------------|-------|-------|-------------|-------------|
| **time, min** | 0 | 133 | 266 | 399 |
**Hint: It is not necessary to graph these data.**
**Questions:**
1. The half-life observed for this reaction is \( \boxed{133} \) min.
2. Based on these data, the rate constant for this \( \boxed{\text{}} \) order reaction is \( \boxed{\text{}} \) min⁻¹.
### Explanation of the Data Table
The table presents the concentration of \( N_2O_5 \) (in molarity, M) at various time intervals (in minutes, min). The concentrations decrease over time as the decomposition reaction proceeds, reflecting the consumption of \( N_2O_5 \):
- At time \( t = 0 \) minutes, the concentration of \( N_2O_5 \) is 0.200 M.
- At time \( t = 133 \) minutes, the concentration decreases to 0.100 M, indicating the half-life of the reaction.
- At time \( t = 266 \) minutes, the concentration further decreases to 5.00 × 10⁻² M.
- At time \( t = 399 \) minutes, the concentration decreases to 2.50 × 10⁻² M.
This data illustrates the progress of the reaction over time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5baa0102-60f7-4f8d-865b-4da67ad08e15%2F9ce87bba-beae-4c5f-8282-9c0814556d22%2Fwzjbfo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Decomposition of Dinitrogen Pentoxide in Carbon Tetrachloride Solution at 30 °C
**Reaction:**
\[ N_2O_5 \rightarrow 2 NO_2 + \frac{1}{2} O_2 \]
**Experimental Data:**
| \([ N_2O_5 ]\), M | 0.200 | 0.100 | 5.00 × 10⁻² | 2.50 × 10⁻² |
|-------------------|-------|-------|-------------|-------------|
| **time, min** | 0 | 133 | 266 | 399 |
**Hint: It is not necessary to graph these data.**
**Questions:**
1. The half-life observed for this reaction is \( \boxed{133} \) min.
2. Based on these data, the rate constant for this \( \boxed{\text{}} \) order reaction is \( \boxed{\text{}} \) min⁻¹.
### Explanation of the Data Table
The table presents the concentration of \( N_2O_5 \) (in molarity, M) at various time intervals (in minutes, min). The concentrations decrease over time as the decomposition reaction proceeds, reflecting the consumption of \( N_2O_5 \):
- At time \( t = 0 \) minutes, the concentration of \( N_2O_5 \) is 0.200 M.
- At time \( t = 133 \) minutes, the concentration decreases to 0.100 M, indicating the half-life of the reaction.
- At time \( t = 266 \) minutes, the concentration further decreases to 5.00 × 10⁻² M.
- At time \( t = 399 \) minutes, the concentration decreases to 2.50 × 10⁻² M.
This data illustrates the progress of the reaction over time.
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