🤓 Based on our data, we think this question is relevant for Professor Ratliff's class at USF.

First order kinetics states that:

$\overline{){\mathbf{ln}}\mathbf{\left[}\mathbf{A}\mathbf{\right]}{\mathbf{=}}{\mathbf{-}}{\mathbf{kt}}{\mathbf{}}{\mathbf{+}}{\mathbf{\hspace{0.17em}}}{\mathbf{ln}}{\mathbf{\left[}\mathbf{A}\mathbf{\right]}}_{{\mathbf{0}}}}$

Notice that we start from 1 atm which means [A]_{0 }= 1 atm

Calculating for k:

The reaction SO_{2}Cl_{2}(g) → SO_{2} (g) + Cl_{2} (g) is first order in SO_{2} Cl_{2}.

Using the following kinetic data, determine the magnitude of the first-order rate constant:

Time (s) | Pressure SO_{2}Cl_{2} (atm) |

0 | 1.000 |

2500 | 0.947 |

5000 | 0.895 |

7500 | 0.848 |

10000 | 0.803 |

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Based on our data, we think this problem is relevant for Professor Ratliff's class at USF.