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Nitric Oxide and Nitrogen Dioxide Are Found in Photochemical Smog \rightarrow

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Nitric oxide and nitrogen dioxide are found in photochemical smog. Nitrogen dioxide is formed from nitrogen monoxide in the exhaust of automobile engines. A possible mechanism for this reaction is given below, where equilibrium is quickly established in steps 1 and 2. What is the rate law predicted by this mechanism?
Reaction: 2NO(g) + O2(g) \rightarrow 2NO2(g)
Step 1 (fast) : NO + NO \leftrightarrow N2O2
Step 2 (fast) : N2O2 \leftrightarrow N + NO2
Step 3 (slow) : N + O2 \rightarrow NO2


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