(Solved): The reaction of peroxydisulfate ion \( \left(\mathrm{S}_{2} \mathrm{O}_{9}{ }^{2-}\right) \) with i ...

The reaction of peroxydisulfate ion \( \left(\mathrm{S}_{2} \mathrm{O}_{9}{ }^{2-}\right) \) with iodide ion \( (\Gamma) \) is \[ \mathrm{S}_{2} \mathrm{O}_{8}{ }^{2-}(a q)+3 \Gamma(a q) \rightarrow 2 \mathrm{SO}_{4}{ }^{2-}(a q)+\mathrm{I}_{3}{ }^{-}(a q) \] From the following data collected at a certain temperature, determine the rate law and calculate the rate constant. (a) Which of the following equations represents the rate law for this reaction? A. rate \( =k\left[\mathrm{~S}_{2} \mathrm{O}_{8}^{2-}\right][\mathrm{I}] \) C. rate \( =k\left[\mathrm{~S}_{2} \mathrm{O}_{8}^{2-}\right]\left[\mathrm{I}^{2}\right]^{2} \) B. rate \( =k\left[\mathrm{~S}_{2} \mathrm{O}_{8}^{2}\right]^{2}[\mathrm{I}] \) D. rate \( =k\left[\mathrm{~S}_{2} \mathrm{O}_{8}^{2}\right]^{2}\left[\mathrm{I}^{2}\right]^{2} \) A B \( \quad \) C (b) What is the rate constant for the reaction?