Chemistry
Chemistry
Problem
For the decomposition of ozone in the presence of chlorine atoms the experimental rate law is rate = k[O3][Cl]. A proposed mechanism is: Step 1 O3 + Cl → ClO + O2 (slow) Step 2 ClO + O → Cl + O2 (fast) Justify how this mechanism is consistent with the observed rate law.Intuitive explanation
The key is to recognize that the rate-determining step (the slow one) controls the overall reaction rate, and only reactants present in that step—or intermediates formed before it—appear in the rate law. Here, Step 1 is slow and consumes and directly, giving rate = . The fast Step 2 then consumes the intermediate and doesn't affect the rate law. Since the proposed mechanism's rate-determining step matches the experimental rate law exactly, the mechanism is consistent.
Intuitive explanation
The key is to recognize that the rate-determining step (the slow one) controls the overall reaction rate, and only reactants present in that step—or intermediates formed before it—appear in the rate law. Here, Step 1 is slow and consumes and directly, giving rate = . The fast Step 2 then consumes the intermediate and doesn't affect the rate law. Since the proposed mechanism's rate-determining step matches the experimental rate law exactly, the mechanism is consistent.