Use this graph to answer the following questions: What is the half life of the reaction? Round your answer to 2 significant digits. Suppose the rate of the reaction is known to be first order in NH OH. Calculate the value of the rate constant k. Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. Predict the concentration of NH OH in the engineer's reaction vessel after 5.0 seconds have passed. Assume no other reaction is important, and continue to assume the rate is first order in NH OH. Round your answer to 2 significant digits. search Bi 1/2 = 0s k = [NH,OH] = M H # O hp x10 ロ・ロ X 00 4 S ? Ⓒ2022 McGraw Hill LLC. All Rights Reserved

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Use this graph to answer the following questions:**

**1. What is the half-life of the reaction?**

Round your answer to 2 significant digits.

\[ t_{1/2} = \_\_\_\_\_\_ \text{s} \]

**2. Suppose the rate of the reaction is known to be first order in \( \text{NH}_4\text{OH} \). Calculate the value of the rate constant \( k \).**

Round your answer to 2 significant digits. Also, be sure you include the correct unit symbol.

\[ k = \_\_\_\_\_\_ \]

**3. Predict the concentration of \( \text{NH}_4\text{OH} \) in the engineer's reaction vessel after 5.0 seconds have passed.**

Assume no other reaction is important and continue to assume the rate is first order in \( \text{NH}_4\text{OH} \).

Round your answer to 2 significant digits.

\[ [\text{NH}_4\text{OH}] = \_\_\_\_\_\_ \text{M} \]

Note: There is a graph provided that should be used to answer these questions. The graph contains plotted points that likely represent concentration versus time data for \( \text{NH}_4\text{OH} \). The specific details such as values and axes labels must be observed directly from the graph for accurate answers.
Transcribed Image Text:**Use this graph to answer the following questions:** **1. What is the half-life of the reaction?** Round your answer to 2 significant digits. \[ t_{1/2} = \_\_\_\_\_\_ \text{s} \] **2. Suppose the rate of the reaction is known to be first order in \( \text{NH}_4\text{OH} \). Calculate the value of the rate constant \( k \).** Round your answer to 2 significant digits. Also, be sure you include the correct unit symbol. \[ k = \_\_\_\_\_\_ \] **3. Predict the concentration of \( \text{NH}_4\text{OH} \) in the engineer's reaction vessel after 5.0 seconds have passed.** Assume no other reaction is important and continue to assume the rate is first order in \( \text{NH}_4\text{OH} \). Round your answer to 2 significant digits. \[ [\text{NH}_4\text{OH}] = \_\_\_\_\_\_ \text{M} \] Note: There is a graph provided that should be used to answer these questions. The graph contains plotted points that likely represent concentration versus time data for \( \text{NH}_4\text{OH} \). The specific details such as values and axes labels must be observed directly from the graph for accurate answers.
**Chemical Reaction Rate Study**

A chemical engineer is studying the rate of the following reaction:

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

The engineer fills a reaction vessel with \(\text{NH}_4\text{OH}\) and measures its concentration as the reaction proceeds. Below is a graph of the data collected during the experiment:

### Graph Description
- **Title:** Concentration of \(\text{NH}_4\text{OH}\) over Time
- **X-axis (Horizontal):** Time (\( t \)) in seconds (s)
- **Y-axis (Vertical):** Concentration of \(\text{NH}_4\text{OH}\) in molarity (M)

### Detailed Explanation of the Graph
- **Initial Concentration:** At \( t = 0 \) s, the concentration of \(\text{NH}_4\text{OH}\) is approximately 1.5 M.
- **Decay Over Time:** As time progresses, the concentration of \(\text{NH}_4\text{OH}\) decreases. The curve shows a rapid decline initially.
- **Approaching Zero:** By \( t = 5 \) s, the concentration of \(\text{NH}_4\text{OH}\) approaches nearly 0 M, indicating that most of the \(\text{NH}_4\text{OH}\) has reacted.

Use this graph to answer the following questions:

---
**Note:** This educational content is a study resource for understanding the rate of chemical reactions using data visualization techniques.
Transcribed Image Text:**Chemical Reaction Rate Study** A chemical engineer is studying the rate of the following reaction: \[ \text{NH}_4\text{OH (aq)} \rightarrow \text{NH}_3\text{ (aq)} + \text{H}_2\text{O (aq)} \] The engineer fills a reaction vessel with \(\text{NH}_4\text{OH}\) and measures its concentration as the reaction proceeds. Below is a graph of the data collected during the experiment: ### Graph Description - **Title:** Concentration of \(\text{NH}_4\text{OH}\) over Time - **X-axis (Horizontal):** Time (\( t \)) in seconds (s) - **Y-axis (Vertical):** Concentration of \(\text{NH}_4\text{OH}\) in molarity (M) ### Detailed Explanation of the Graph - **Initial Concentration:** At \( t = 0 \) s, the concentration of \(\text{NH}_4\text{OH}\) is approximately 1.5 M. - **Decay Over Time:** As time progresses, the concentration of \(\text{NH}_4\text{OH}\) decreases. The curve shows a rapid decline initially. - **Approaching Zero:** By \( t = 5 \) s, the concentration of \(\text{NH}_4\text{OH}\) approaches nearly 0 M, indicating that most of the \(\text{NH}_4\text{OH}\) has reacted. Use this graph to answer the following questions: --- **Note:** This educational content is a study resource for understanding the rate of chemical reactions using data visualization techniques.
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