The plots of 1/[A] vs time, In([A]) vs. time, and [A] vs. time of a solution of substance A are shown below. What is the reaction order with respect to A? Time Time Slope k Time second zeroth first 1/[A] Ln (Al

Chemistry
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Chapter1: Chemical Foundations
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### Reaction Order Determination

The plots of \( \frac{1}{[A]} \) vs time, \( \ln([A]) \) vs time, and \([A]\) vs time for a solution of substance A are shown below. Determine the reaction order with respect to A.

#### Graphs

1. **First Graph**
   - X-axis: Time
   - Y-axis: \( \frac{1}{[A]} \)
   - Description: The graph shows a curved line decreasing towards the x-axis.

2. **Second Graph**
   - X-axis: Time
   - Y-axis: \( \ln([A]) \)
   - Description: The graph displays a straight line with a negative slope, indicating a linear relationship between \(\ln([A])\) and time.

3. **Third Graph**
   - X-axis: Time
   - Y-axis: \([A]\)
   - Description: The graph shows a linear decline with a slope equal to \(-k\), where \(k\) is the rate constant.

#### Multiple Choice Options
- second
- zeroth
- first (selected)

The correct reaction order with respect to \(A\) is inferred from the third graph (\([A]\) vs time), showing a linear relationship. Hence, the reaction is **first order**.
Transcribed Image Text:### Reaction Order Determination The plots of \( \frac{1}{[A]} \) vs time, \( \ln([A]) \) vs time, and \([A]\) vs time for a solution of substance A are shown below. Determine the reaction order with respect to A. #### Graphs 1. **First Graph** - X-axis: Time - Y-axis: \( \frac{1}{[A]} \) - Description: The graph shows a curved line decreasing towards the x-axis. 2. **Second Graph** - X-axis: Time - Y-axis: \( \ln([A]) \) - Description: The graph displays a straight line with a negative slope, indicating a linear relationship between \(\ln([A])\) and time. 3. **Third Graph** - X-axis: Time - Y-axis: \([A]\) - Description: The graph shows a linear decline with a slope equal to \(-k\), where \(k\) is the rate constant. #### Multiple Choice Options - second - zeroth - first (selected) The correct reaction order with respect to \(A\) is inferred from the third graph (\([A]\) vs time), showing a linear relationship. Hence, the reaction is **first order**.
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