In a study of the decomposition of nitrous oxide at 565 °C N,0(g)N2(g) +% O2(g) the following data were obtained: N,0], M seconds 1.65 0.825 0.413 0.207 690 2.07x103 4.81×103 Hint: It is not necessary to graph these data. (1) The observed half life for this reaction when the starting concentration is 1.65 M is starting concentration is 0.825 M i [ s and when the (2) The average A(1/[N,0]) / At from t= 0 s to t = 690 s is The average A(1/[N,0]) / At from t= 690 s to t = 2.07×10 s i ( (3) Based on these data, the rate constant for this | order reaction is |

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In a study of the decomposition of nitrous oxide at 565 °C:

\[ \text{N}_2\text{O}(\text{g}) \rightarrow \text{N}_2(\text{g}) + \frac{1}{2} \text{O}_2(\text{g}) \]

the following data were obtained:

| \([\text{N}_2\text{O}], \text{M}\) | 1.65 | 0.825 | 0.413 | 0.207 |
|----------------|------|-------|-------|-------|
| Seconds        | 0    | 690   | 2.07×10³ | 4.81×10³ |

**Hint:** It is not necessary to graph these data.

(1)  
The observed half-life for this reaction when the starting concentration is 1.65 M is _______ s and when the starting concentration is 0.825 M is _______ s.

(2)  
The average \(\Delta (1/[\text{N}_2\text{O}]) / \Delta t\) from t = 0 s to t = 690 s is _______ M⁻¹ s⁻¹.  
The average \(\Delta (1/[\text{N}_2\text{O}]) / \Delta t\) from t = 690 s to t = 2.07×10³ s is _______ M⁻¹ s⁻¹.

(3)  
Based on these data, the rate constant for this _______ order reaction is _______ M⁻¹ s⁻¹.
Transcribed Image Text:In a study of the decomposition of nitrous oxide at 565 °C: \[ \text{N}_2\text{O}(\text{g}) \rightarrow \text{N}_2(\text{g}) + \frac{1}{2} \text{O}_2(\text{g}) \] the following data were obtained: | \([\text{N}_2\text{O}], \text{M}\) | 1.65 | 0.825 | 0.413 | 0.207 | |----------------|------|-------|-------|-------| | Seconds | 0 | 690 | 2.07×10³ | 4.81×10³ | **Hint:** It is not necessary to graph these data. (1) The observed half-life for this reaction when the starting concentration is 1.65 M is _______ s and when the starting concentration is 0.825 M is _______ s. (2) The average \(\Delta (1/[\text{N}_2\text{O}]) / \Delta t\) from t = 0 s to t = 690 s is _______ M⁻¹ s⁻¹. The average \(\Delta (1/[\text{N}_2\text{O}]) / \Delta t\) from t = 690 s to t = 2.07×10³ s is _______ M⁻¹ s⁻¹. (3) Based on these data, the rate constant for this _______ order reaction is _______ M⁻¹ s⁻¹.
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