A chemistry graduate student is studying the rate of this reaction: 2SO3 (g) → 2SO₂(g) + 0₂ (8) He fills a reaction vessel with SO3 and measures its concentration as the reaction proceeds: time (minutes) 0 20. 10. 0.0190M 30. [so,] 40. 0.0500M 0.0117 M 0.00847 M 0.00663 M Use this data to answer the following questions. Write the rate law for this reaction. Calculate the value of the rate constant k. Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol. rate = k k = 0 x10 0.0 X

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Chapter1: Chemical Foundations
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### Reaction Rate Study

A chemistry graduate student is studying the rate of this reaction:

\[ 2SO_3 (g) \rightarrow 2SO_2 (g) + O_2 (g) \]

The student fills a reaction vessel with \( SO_3 \) and measures its concentration as the reaction proceeds:

#### Data Table

| **Time (minutes)** | \([SO_3]\) \( (M) \) |
|--------------------|----------------------|
| 0                  | 0.0500               |
| 10                 | 0.0190               |
| 20                 | 0.0117               |
| 30                 | 0.00847              |
| 40                 | 0.00663              |

---

#### Questions

1. **Write the rate law for this reaction.**

   \[
   \text{rate} = k \, [\, ]
   \]

2. **Calculate the value of the rate constant \( k \).**

   Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol.

   \[
   k = \, [\, ]
   \]

---

Here, the student is tasked with analyzing the decrease in the concentration of \( SO_3 \) over time to establish the rate of the reaction and determine the rate constant.
Transcribed Image Text:### Reaction Rate Study A chemistry graduate student is studying the rate of this reaction: \[ 2SO_3 (g) \rightarrow 2SO_2 (g) + O_2 (g) \] The student fills a reaction vessel with \( SO_3 \) and measures its concentration as the reaction proceeds: #### Data Table | **Time (minutes)** | \([SO_3]\) \( (M) \) | |--------------------|----------------------| | 0 | 0.0500 | | 10 | 0.0190 | | 20 | 0.0117 | | 30 | 0.00847 | | 40 | 0.00663 | --- #### Questions 1. **Write the rate law for this reaction.** \[ \text{rate} = k \, [\, ] \] 2. **Calculate the value of the rate constant \( k \).** Round your answer to 2 significant digits. Also be sure your answer has the correct unit symbol. \[ k = \, [\, ] \] --- Here, the student is tasked with analyzing the decrease in the concentration of \( SO_3 \) over time to establish the rate of the reaction and determine the rate constant.
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