The kinetics for the reaction, `2NO+2H_2 to N_2 + 2H_2`O is explained by the following two steps:
` (i) 2NO +H_2 to N_2 +H_2 O +O` ( slow)
`(ii) O +H_2 to H_2 O` ( fast)
What is the predicted rate law?

Explanation

To derive the predicted rate law for the reaction \(2NO + 2H_2 \to N_2 + 2H_2O\) based on the provided elementary steps, we follow these steps:

### Step 1: Identify the Rate-Determining Step
The rate law is determined by the slowest step in the reaction mechanism, known as the rate-determining step. In this case, the first step is given as:
\[ 2NO + H_2 \to N_2 + H_2O + O \quad \text{(slow)} \]
This step will dictate the rate of the overall reaction.
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