**Title: Understanding the Decomposition of Hydrogen Peroxide** **Question #18:** What is the rate law for the decomposition of hydrogen peroxide in an aqueous solution at 20°C? --- **Data Analysis:** The following data have been obtained for the decomposition reaction: \[ \text{2H}_2\text{O}_2(aq) \rightarrow 2\text{H}_2\text{O}(l) + \text{O}_2(g) \] | Time (min) | [H\(_2\)O\(_2\)] M (mol/L) | |------------|-----------------------------| | 0 | 9.83 \times 10^{-3} | | 3 | 8.64 \times 10^{-3} | | 6 | 6.03 \times 10^{-3} | | 9 | 3.64 \times 10^{-3} | | 12 | 2.53 \times 10^{-3} | | 15 | 1.52 \times 10^{-3} | | 18 | 0.76 \times 10^{-3} | | 21 | 0 | --- **Discussion:** The average rate of decomposition of hydrogen peroxide at 20°C over the first time interval (0 to 3 min) is calculated by the change in concentration of H\(_2\)O\(_2\) over that time. Notably, this data can help determine the half-life and rate constant of the reaction under controlled conditions at 20°C. --- Note: This information provides an example of analyzing reaction kinetics in a laboratory setting, emphasizing the importance of time and concentration in understanding chemical processes.

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**Title: Understanding the Decomposition of Hydrogen Peroxide**

**Question #18:**

What is the rate law for the decomposition of hydrogen peroxide in an aqueous solution at 20°C?

---

**Data Analysis:**

The following data have been obtained for the decomposition reaction:  
\[ \text{2H}_2\text{O}_2(aq) \rightarrow 2\text{H}_2\text{O}(l) + \text{O}_2(g) \]

| Time (min) | [H\(_2\)O\(_2\)] M (mol/L) |
|------------|-----------------------------|
| 0          | 9.83 \times 10^{-3}         |
| 3          | 8.64 \times 10^{-3}         |
| 6          | 6.03 \times 10^{-3}         |
| 9          | 3.64 \times 10^{-3}         |
| 12         | 2.53 \times 10^{-3}         |
| 15         | 1.52 \times 10^{-3}         |
| 18         | 0.76 \times 10^{-3}         |
| 21         | 0                           |

---

**Discussion:**

The average rate of decomposition of hydrogen peroxide at 20°C over the first time interval (0 to 3 min) is calculated by the change in concentration of H\(_2\)O\(_2\) over that time. Notably, this data can help determine the half-life and rate constant of the reaction under controlled conditions at 20°C.

---

Note: This information provides an example of analyzing reaction kinetics in a laboratory setting, emphasizing the importance of time and concentration in understanding chemical processes.
Transcribed Image Text:**Title: Understanding the Decomposition of Hydrogen Peroxide** **Question #18:** What is the rate law for the decomposition of hydrogen peroxide in an aqueous solution at 20°C? --- **Data Analysis:** The following data have been obtained for the decomposition reaction: \[ \text{2H}_2\text{O}_2(aq) \rightarrow 2\text{H}_2\text{O}(l) + \text{O}_2(g) \] | Time (min) | [H\(_2\)O\(_2\)] M (mol/L) | |------------|-----------------------------| | 0 | 9.83 \times 10^{-3} | | 3 | 8.64 \times 10^{-3} | | 6 | 6.03 \times 10^{-3} | | 9 | 3.64 \times 10^{-3} | | 12 | 2.53 \times 10^{-3} | | 15 | 1.52 \times 10^{-3} | | 18 | 0.76 \times 10^{-3} | | 21 | 0 | --- **Discussion:** The average rate of decomposition of hydrogen peroxide at 20°C over the first time interval (0 to 3 min) is calculated by the change in concentration of H\(_2\)O\(_2\) over that time. Notably, this data can help determine the half-life and rate constant of the reaction under controlled conditions at 20°C. --- Note: This information provides an example of analyzing reaction kinetics in a laboratory setting, emphasizing the importance of time and concentration in understanding chemical processes.
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