Use this graph to answer the following questions: What is the half life of the reaction? 1/2 = Round your answer to 2 significant digits. Suppose the rate of the reaction is known to be first order in HI. Calculate the value of the rate constant k. k = Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. Predict the concentration of HI in the engineer's reaction vessel after 1.80 seconds have passed. Assume no other reaction is important, and continue to [HI] = M assume the rate is first order in HI. Round your answer to 2 significant digits.

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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**Graph Analysis Exercise**

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

1. **What is the half-life of the reaction?**
   - Round your answer to 2 significant digits.
   - \[ t_{1/2} = \boxed{\phantom{0.00}} \, \text{s} \]

2. **Suppose the rate of the reaction is known to be first order in HI. Calculate the value of the rate constant \( k \).**
   - Round your answer to 2 significant digits. Also be sure you include the correct unit symbol.
   - \[ k = \boxed{\phantom{0.00}} \]

3. **Predict the concentration of HI in the engineer's reaction vessel after 1.80 seconds have passed.**
   - Assume no other reaction is important, and continue to assume the rate is first order in HI.
   - Round your answer to 2 significant digits.
   - \[ [\text{HI}] = \boxed{\phantom{0.00}} \, \text{M} \]

**Graph Interpretation Key**

There is an associated image of a graph that features:

- Several points plotted and connected.
- Indications for zoom and fit options.
- A legend possibly correlating symbols to types of data (e.g., different orders or setups).

**Explanation of Symbols:**
- \(\boxed{\phantom{0.00}}\) indicates placeholders where answers should be filled in based on interpretations made from the provided graph data.

For precise analysis, refer to the actual data provided in the graph to extract the necessary values.

The small icons adjacent to the graph are functionalities for visual adjustments and interpretations:
- The icon with multiple squares and '×10' symbol is typically associated with magnifying or zooming into specific parts of the graph.
- The reset and help icons are self-explanatory, enabling the user to revert to the original view or seek assistance, respectively.
Transcribed Image Text:**Graph Analysis Exercise** **Use this graph to answer the following questions:** 1. **What is the half-life of the reaction?** - Round your answer to 2 significant digits. - \[ t_{1/2} = \boxed{\phantom{0.00}} \, \text{s} \] 2. **Suppose the rate of the reaction is known to be first order in HI. Calculate the value of the rate constant \( k \).** - Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. - \[ k = \boxed{\phantom{0.00}} \] 3. **Predict the concentration of HI in the engineer's reaction vessel after 1.80 seconds have passed.** - Assume no other reaction is important, and continue to assume the rate is first order in HI. - Round your answer to 2 significant digits. - \[ [\text{HI}] = \boxed{\phantom{0.00}} \, \text{M} \] **Graph Interpretation Key** There is an associated image of a graph that features: - Several points plotted and connected. - Indications for zoom and fit options. - A legend possibly correlating symbols to types of data (e.g., different orders or setups). **Explanation of Symbols:** - \(\boxed{\phantom{0.00}}\) indicates placeholders where answers should be filled in based on interpretations made from the provided graph data. For precise analysis, refer to the actual data provided in the graph to extract the necessary values. The small icons adjacent to the graph are functionalities for visual adjustments and interpretations: - The icon with multiple squares and '×10' symbol is typically associated with magnifying or zooming into specific parts of the graph. - The reset and help icons are self-explanatory, enabling the user to revert to the original view or seek assistance, respectively.
### Reaction Rate Study: Decomposition of Hydrogen Iodide

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

\[ 2HI(g) \rightarrow H_2(g) + I_2(g) \]

She fills a reaction vessel with \( HI \) and measures its concentration as the reaction proceeds. Here’s a graph of her data:

#### Graph Explanation

The graph shows the concentration of \( HI \) \([HI] \, (\text{M})\) on the y-axis versus time \( t \, (\text{s}) \) on the x-axis. The curve illustrates the decrease in concentration of \( HI \) over time as it decomposes into \( H_2 \) and \( I_2 \).

- **Y-axis (Concentration \( [HI] \, (\text{M}) \))**: This axis ranges from 0 to 2. The initial concentration of \( HI \) is approximately 1 M.
- **X-axis (Time \( t \, (\text{s}) \))**: This axis ranges from 0 to 1.2 seconds.

The curve starts at a concentration of approximately 1 M at \( t = 0 \) and gradually decreases, approaching zero as time progresses.

### Use this graph to answer the following questions:

[Generated questions and further explanations would be provided here based on the curriculum or learning objectives of the educational website.]
Transcribed Image Text:### Reaction Rate Study: Decomposition of Hydrogen Iodide A chemical engineer is studying the rate of the following reaction: \[ 2HI(g) \rightarrow H_2(g) + I_2(g) \] She fills a reaction vessel with \( HI \) and measures its concentration as the reaction proceeds. Here’s a graph of her data: #### Graph Explanation The graph shows the concentration of \( HI \) \([HI] \, (\text{M})\) on the y-axis versus time \( t \, (\text{s}) \) on the x-axis. The curve illustrates the decrease in concentration of \( HI \) over time as it decomposes into \( H_2 \) and \( I_2 \). - **Y-axis (Concentration \( [HI] \, (\text{M}) \))**: This axis ranges from 0 to 2. The initial concentration of \( HI \) is approximately 1 M. - **X-axis (Time \( t \, (\text{s}) \))**: This axis ranges from 0 to 1.2 seconds. The curve starts at a concentration of approximately 1 M at \( t = 0 \) and gradually decreases, approaching zero as time progresses. ### Use this graph to answer the following questions: [Generated questions and further explanations would be provided here based on the curriculum or learning objectives of the educational website.]
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