Final answer:
The overall reaction is 2NO(g) + Br₂(g) → 2NOBr(g). The rate law is determined by the slow first step and is written as rate = k[NO][Br₂].
Step-by-step explanation:
The overall equation for the reaction based on the proposed mechanism is:
2NO(g) + Br₂(g) → 2NOBr(g)
When writing the rate law using the proposed mechanism:
- For the first slow step, rate = k₁[NO][Br₂]
- For the fast step, rate = k₂[NOBr₂][NO], but since this step is fast and the previous step slow, the concentration of NOBr₂ is determined by the slow step.
Therefore, the overall rate law reflects the slow step and is rate = k[NO][Br₂].