. This graph shows a plot of the rate of a reaction versus the con- centration of the reactant. 0.012 0.010 - 0.008 0.006 0.004 0.002 0.2 0.4 0.6 0.8 1 [A](M) a. What is the order of the reaction with respect to A? b. Make a rough sketch of a plot of [A] versus time. c. Write a rate law for the reaction including the value of k. Rate (M/s)

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Chapter1: Chemical Foundations
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### Transcription and Explanation for an Educational Website

#### Graph Explanation:
This graph shows a plot of the rate of a reaction versus the concentration of the reactant \([A]\).

- **X-axis:** Represents the concentration of the reactant \([A]\) in moles per liter (M), ranging from 0 to 1 M.
- **Y-axis:** Represents the rate of the reaction in moles per second (M/s), ranging from 0 to 0.012 M/s.
- **Data Plot:** The graph displays a horizontal line at a rate of 0.010 M/s, indicating that the rate of reaction is constant regardless of the concentration of \([A]\).

#### Questions:
a. **What is the order of the reaction with respect to A?**  
   - The reaction is zero-order with respect to A, as the rate of reaction remains constant and does not depend on the concentration of \([A]\).

b. **Make a rough sketch of a plot of [A] versus time.**  
   - For a zero-order reaction, the plot of \([A]\) versus time would be a straight line with a negative slope, indicating a constant rate of decrease in \([A]\) over time.

c. **Write a rate law for the reaction including the value of k.**  
   - The rate law for a zero-order reaction is: 
     \[
     \text{Rate} = k
     \]
     - Given the graph, \(k = 0.010 \text{ M/s}\).
Transcribed Image Text:### Transcription and Explanation for an Educational Website #### Graph Explanation: This graph shows a plot of the rate of a reaction versus the concentration of the reactant \([A]\). - **X-axis:** Represents the concentration of the reactant \([A]\) in moles per liter (M), ranging from 0 to 1 M. - **Y-axis:** Represents the rate of the reaction in moles per second (M/s), ranging from 0 to 0.012 M/s. - **Data Plot:** The graph displays a horizontal line at a rate of 0.010 M/s, indicating that the rate of reaction is constant regardless of the concentration of \([A]\). #### Questions: a. **What is the order of the reaction with respect to A?** - The reaction is zero-order with respect to A, as the rate of reaction remains constant and does not depend on the concentration of \([A]\). b. **Make a rough sketch of a plot of [A] versus time.** - For a zero-order reaction, the plot of \([A]\) versus time would be a straight line with a negative slope, indicating a constant rate of decrease in \([A]\) over time. c. **Write a rate law for the reaction including the value of k.** - The rate law for a zero-order reaction is: \[ \text{Rate} = k \] - Given the graph, \(k = 0.010 \text{ M/s}\).
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