AP Chemistry
5.3 Concentration Changes Over Time
![Plot of \(\ln[\text{SO}_2\text{Cl}_2]\) versus time for the decomposition of \(\text{SO}_2\text{Cl}_2\text{(g)}\).](https://nerd-notes.com/wp-content/uploads/ubq-diagrams/nerd-notes-graph-121428-1791856682-BlMpCx.png)
\[\text{SO}_2\text{Cl}_2\text{(g)} \rightarrow \text{SO}_2\text{(g)} + \text{Cl}_2\text{(g)}\]
The student measured the concentration of \(\text{SO}_2\text{Cl}_2\) at various times during the reaction and plotted \(\ln[\text{SO}_2\text{Cl}_2]\) as a function of time, as shown in the graph below. The line of best fit has the equation \(y = -0.0040\,x - 1.60\), where \(y = \ln[\text{SO}_2\text{Cl}_2]\) and \(x\) is time in seconds.
Based on the graph, what is the order of the reaction with respect to \(\text{SO}_2\text{Cl}_2\) and the value of the rate constant, \(k\)?
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