A student investigates the kinetics of the gas-phase decomposition of sulfuryl chloride, \(\text{SO}_2\text{Cl}_2\text{(g)}\), at \(590\text{ K}\) according to the following balanced equation:

\[ \text{SO}_2\text{Cl}_2\text{(g)} \rightarrow \text{SO}_2\text{(g)} + \text{Cl}_2\text{(g)} \]

The student measures the concentration of \(\text{SO}_2\text{Cl}_2\) at various times during the reaction and constructs the plot of \(\ln[\text{SO}_2\text{Cl}_2]\) versus time shown below.

Based on the graph, which of the following is the correct rate law and value of the rate constant, \(k\), for the reaction?