What is the value of the rate law constant for the reaction shown below? 1.    -1.9 x 10^4 2.    +1.9 x 10^4 3.    -5.2 x 10^-5  4.    +5.2 x 10^-5 5.    +6.2

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What is the value of the rate law constant for the reaction shown below?

1.    -1.9 x 10^4

2.    +1.9 x 10^4

3.    -5.2 x 10^-5 

4.    +5.2 x 10^-5

5.    +6.2

**Isomerization of Methylisonitrile (CH3NC) to Acetonitrile (CH3CN)**

**Reaction Overview:**
At elevated temperatures, methylisonitrile (CH3NC) undergoes isomerization to form acetonitrile (CH3CN). The chemical equation representing this reaction is:
\[ \text{CH}_3\text{NC (g)} \rightarrow \text{CH}_3\text{CN (g)} \]

**Kinetics of the Reaction:**
The isomerization reaction is first-order with respect to methylisonitrile. Experimental data for this reaction at a temperature of 198.9 °C is presented in the following graph.

**Graph Interpretation:**

*Graph Details:*
- The graph plots the natural logarithm of the pressure of CH3NC (in units of pressure) on the y-axis against time (in seconds) on the x-axis.
- The y-axis is labeled as "ln pressure, CH3NC" and ranges from 3.4 to 5.2.
- The x-axis is labeled as "Time (s)" and ranges from 0 to 30,000 seconds.

*Data Points and Observations:*
- The graph shows a linear decrease in the natural logarithm of the pressure of CH3NC over time, indicating a first-order reaction.
- This linearity confirms that the reaction follows first-order kinetics, as the natural logarithm of the concentration of a reactant in a first-order reaction decreases linearly with time.

Understanding the First-Order Reaction:
- In a first-order reaction, the rate of reaction is directly proportional to the concentration of one reactant.
- The slope of the linear plot corresponds to the negative rate constant for the reaction (k).

This information is crucial for those studying chemical kinetics as it provides a clear example of how first-order reactions behave and how their data can be represented and analyzed graphically.
Transcribed Image Text:**Isomerization of Methylisonitrile (CH3NC) to Acetonitrile (CH3CN)** **Reaction Overview:** At elevated temperatures, methylisonitrile (CH3NC) undergoes isomerization to form acetonitrile (CH3CN). The chemical equation representing this reaction is: \[ \text{CH}_3\text{NC (g)} \rightarrow \text{CH}_3\text{CN (g)} \] **Kinetics of the Reaction:** The isomerization reaction is first-order with respect to methylisonitrile. Experimental data for this reaction at a temperature of 198.9 °C is presented in the following graph. **Graph Interpretation:** *Graph Details:* - The graph plots the natural logarithm of the pressure of CH3NC (in units of pressure) on the y-axis against time (in seconds) on the x-axis. - The y-axis is labeled as "ln pressure, CH3NC" and ranges from 3.4 to 5.2. - The x-axis is labeled as "Time (s)" and ranges from 0 to 30,000 seconds. *Data Points and Observations:* - The graph shows a linear decrease in the natural logarithm of the pressure of CH3NC over time, indicating a first-order reaction. - This linearity confirms that the reaction follows first-order kinetics, as the natural logarithm of the concentration of a reactant in a first-order reaction decreases linearly with time. Understanding the First-Order Reaction: - In a first-order reaction, the rate of reaction is directly proportional to the concentration of one reactant. - The slope of the linear plot corresponds to the negative rate constant for the reaction (k). This information is crucial for those studying chemical kinetics as it provides a clear example of how first-order reactions behave and how their data can be represented and analyzed graphically.
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