A chemistry graduate student is studying the rate of this reaction: NH,OH (aq) → NH, (aq)+H,O(aq) He fills a reaction vessel with NH OH and measures its concentration as the reaction proceeds: time (milliseconds) 0 10. 20. 30. 40. [NH,OH] 0.300M 0.131 M 0.0840M 0.0618M 0.0488M 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=& = D.D X

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**Kinetics and Equilibrium: Deducing a Rate Law from the Change in Concentration Over Time**

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

\[ \text{NH}_4\text{OH (aq)} \rightarrow \text{NH}_3\text{ (aq)} + \text{H}_2\text{O (aq)} \]

He fills a reaction vessel with NH₄OH and measures its concentration as the reaction proceeds:

| time (milliseconds) | \([\text{NH}_4\text{OH}]\) (M) |
|---------------------|-------------------------------|
| 0                   | 0.300                         |
| 10                  | 0.131                         |
| 20                  | 0.0840                        |
| 30                  | 0.0618                        |
| 40                  | 0.0488                        |

**Use this data to answer the following questions:**

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

   Rate = k \[ \]

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

   \( k = \) \[ \]

**Explanation of Graphs/Diagrams:**

There are no graphs or diagrams in this image. The table provided shows the concentration of NH₄OH at different times indicating the progress of the reaction. Students are asked to use this data to determine the rate law and calculate the rate constant (k) for the reaction.

To fill in the blanks:

1. **Rate Law:**
   The rate law can generally be written in the form: 
   \[ \text{Rate} = k[\text{NH}_4\text{OH}]^n \]
   where \( k \) is the rate constant, and \( n \) is the order of the reaction with respect to NH₄OH. The exact values of \( n \) need to be determined experimentally.

2. **Calculation of Rate Constant \( k \):**
   By using the provided concentration data and the determined rate law, students can calculate the rate constant \( k \). Students should apply appropriate mathematical methods to determine \( k \) and ensure their answer is rounded to two significant digits with the correct unit symbol.

**Check and Explanation buttons:**
- The "Check" button likely allows students to verify their answers.
- The "Explanation" button might provide a detailed explanation
Transcribed Image Text:**Kinetics and Equilibrium: Deducing a Rate Law from the Change in Concentration Over Time** **A chemistry graduate student is studying the rate of this reaction:** \[ \text{NH}_4\text{OH (aq)} \rightarrow \text{NH}_3\text{ (aq)} + \text{H}_2\text{O (aq)} \] He fills a reaction vessel with NH₄OH and measures its concentration as the reaction proceeds: | time (milliseconds) | \([\text{NH}_4\text{OH}]\) (M) | |---------------------|-------------------------------| | 0 | 0.300 | | 10 | 0.131 | | 20 | 0.0840 | | 30 | 0.0618 | | 40 | 0.0488 | **Use this data to answer the following questions:** 1. **Write the rate law for this reaction.** Rate = k \[ \] 2. **Calculate the value of the rate constant \( k \).** \( k = \) \[ \] **Explanation of Graphs/Diagrams:** There are no graphs or diagrams in this image. The table provided shows the concentration of NH₄OH at different times indicating the progress of the reaction. Students are asked to use this data to determine the rate law and calculate the rate constant (k) for the reaction. To fill in the blanks: 1. **Rate Law:** The rate law can generally be written in the form: \[ \text{Rate} = k[\text{NH}_4\text{OH}]^n \] where \( k \) is the rate constant, and \( n \) is the order of the reaction with respect to NH₄OH. The exact values of \( n \) need to be determined experimentally. 2. **Calculation of Rate Constant \( k \):** By using the provided concentration data and the determined rate law, students can calculate the rate constant \( k \). Students should apply appropriate mathematical methods to determine \( k \) and ensure their answer is rounded to two significant digits with the correct unit symbol. **Check and Explanation buttons:** - The "Check" button likely allows students to verify their answers. - The "Explanation" button might provide a detailed explanation
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