The possible machanism for the reaction
`2NO+ Br_(2) to 2NOBr`
is `NO +Br_(2) to NOBr_(2) ` (fast)
`NOBr_(2) +NO to 2NO Br ` (slow)
Establish the rate law .

Explanation

To establish the rate law for the reaction \(2NO + Br_2 \rightarrow 2NOBr\) given the proposed mechanism:

1. **Identify the Steps of the Mechanism**:
- The first step is \(NO + Br_2 \rightarrow NOBr_2\) (fast).
- The second step is \(NOBr_2 + NO \rightarrow 2NOBr\) (slow).

2. **Determine the Rate-Determining Step**:
- The slow step of the mechanism is the rate-determining step (RDS). Therefore, the rate of the overall reaction will depend on this step.
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