7. Mechanisms Three mechanisms for the reaction. NO₂ Cg) + CO (9) CO₂ (g) + NO (g) have been proposed. Mechanism 1 NO₂+ Co CO₂ + NO Mechanism 11 Step 1 Step 2 Mechanism 111 2 NO₂ NO₂ + NO Calev) NO3 + CO NO₂ + CO₂ Cfart) Step 2N0₂ NO₂ + NO (both fast, equilibrion) Step2 NO, CO NO₂ + CO₂ (slow) Which mechanism agrees with the experimentally-determined rate law, Rate=k[NO2]^2? Explain your reasoning. 5

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**Mechanisms: Three mechanisms for the reaction**

\[ \text{NO}_2(\text{g}) + \text{CO}(\text{g}) \rightarrow \text{CO}_2(\text{g}) + \text{NO}(\text{g}) \]

have been proposed.

**Mechanism I**

\[ \text{NO}_2 + \text{CO} \rightarrow \text{CO}_2 + \text{NO} \]

**Mechanism II**

- Step 1: \[ 2 \text{NO}_2 \rightarrow \text{NO}_3 + \text{NO} \, (\text{slow}) \]
- Step 2: \[ \text{NO}_3 + \text{CO} \rightarrow \text{NO}_2 + \text{CO}_2 \, (\text{fast}) \]

**Mechanism III**

- Step 1: \[ 2 \text{NO}_2 \rightleftharpoons \text{NO}_3 + \text{NO} \, (\text{fast \, equilibrium}) \]
- Step 2: \[ \text{NO}_3 + \text{CO} \rightarrow \text{NO}_2 + \text{CO}_2 \, (\text{slow}) \]

**Question:**

Which mechanism agrees with the experimentally-determined rate law, Rate = \( k[\text{NO}_2]^2 \)? Explain your reasoning.
Transcribed Image Text:**Mechanisms: Three mechanisms for the reaction** \[ \text{NO}_2(\text{g}) + \text{CO}(\text{g}) \rightarrow \text{CO}_2(\text{g}) + \text{NO}(\text{g}) \] have been proposed. **Mechanism I** \[ \text{NO}_2 + \text{CO} \rightarrow \text{CO}_2 + \text{NO} \] **Mechanism II** - Step 1: \[ 2 \text{NO}_2 \rightarrow \text{NO}_3 + \text{NO} \, (\text{slow}) \] - Step 2: \[ \text{NO}_3 + \text{CO} \rightarrow \text{NO}_2 + \text{CO}_2 \, (\text{fast}) \] **Mechanism III** - Step 1: \[ 2 \text{NO}_2 \rightleftharpoons \text{NO}_3 + \text{NO} \, (\text{fast \, equilibrium}) \] - Step 2: \[ \text{NO}_3 + \text{CO} \rightarrow \text{NO}_2 + \text{CO}_2 \, (\text{slow}) \] **Question:** Which mechanism agrees with the experimentally-determined rate law, Rate = \( k[\text{NO}_2]^2 \)? Explain your reasoning.
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