The reaction 5 CI (aq) + CIO3(aq) + 6 H*(aq) → 3 Cl₂(g) + 3 H₂O(l) is expected to obey the following mechanism: CIO3(aq) + H+ (aq) = www HCIO3(aq) HCIO3(aq) + H+ (aq) = - H₂CIO3(aq) CIT(aq) + H₂CIO3+ (aq) ₁ (CI-CIO₂)(aq) + H₂O(1) (CI-CIO₂) (aq) + 4 H*(aq) + 4 CI (aq) →→→ products What is the rate law for this reaction? 1. ratek [CI]² [CIO31]² [H+]² 2. rate = k [CI] [CIO3]² [H+]² 3. rate = k [CI]2 [CIO31² [H*] 4. rate = k [CI] [CIO3] [H+]² 5. rate = k [CI]2 [CIO3] [H*] O 4. rate = k [CI-] [CIO3-] [H+]2 O 2. rate = k [CI-] [CIO3-]2 [H+]2 O 1. rate= k [CI-]2 [CIO3-12 [H+]2 O 5. ratek [CI-]2 [CIO3-] [H+] O 3. rate = k [CI-12 [CIO3-]2 [H+] Fast equilibrium Fast equilibrium Slow Fast

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**Title: Understanding the Mechanism and Rate Law of a Complex Reaction**

**Introduction:**
In chemical kinetics, understanding the mechanism of a reaction and determining its rate law is essential. Here, we analyze the reaction involving chloride ions (Cl⁻), chlorate ions (ClO₃⁻), and hydrogen ions (H⁺), which leads to the formation of chlorine gas (Cl₂) and water (H₂O).

**Reaction:**
\[ 5 \, \text{Cl}^-(\text{aq}) + \text{ClO}_3^-(\text{aq}) + 6 \, \text{H}^+(\text{aq}) \rightarrow 3 \, \text{Cl}_2(\text{g}) + 3 \, \text{H}_2\text{O}(\text{l}) \]

**Mechanism:**
The reaction mechanism, which the overall reaction is expected to follow, involves several steps with varying rates:

1. \(\text{ClO}_3^-(\text{aq}) + \text{H}^+(\text{aq}) \leftrightarrow \text{HClO}_3(\text{aq}) \)  (Fast equilibrium, \(k_1\))
2. \(\text{HClO}_3(\text{aq}) + \text{H}^+(\text{aq}) \leftrightarrow \text{H}_2\text{ClO}_3^+(\text{aq}) \)  (Fast equilibrium, \(k_{-1}\))
3. \(\text{Cl}^-(\text{aq}) + \text{H}_2\text{ClO}_3^+(\text{aq}) \rightarrow (\text{ClClO2})(\text{aq}) + \text{H}_2\text{O}(\text{l}) \)  (Slow, \(k_2\))
4. \((\text{Cl-ClO2})(\text{aq}) + 4 \, \text{H}^+(\text{aq}) + 4 \, \text{Cl}^-(\text{aq}) \rightarrow \text{products} \) (Fast)

**Rate Law Determination:**
From the mechanism, we can derive the rate law based on the rate
Transcribed Image Text:**Title: Understanding the Mechanism and Rate Law of a Complex Reaction** **Introduction:** In chemical kinetics, understanding the mechanism of a reaction and determining its rate law is essential. Here, we analyze the reaction involving chloride ions (Cl⁻), chlorate ions (ClO₃⁻), and hydrogen ions (H⁺), which leads to the formation of chlorine gas (Cl₂) and water (H₂O). **Reaction:** \[ 5 \, \text{Cl}^-(\text{aq}) + \text{ClO}_3^-(\text{aq}) + 6 \, \text{H}^+(\text{aq}) \rightarrow 3 \, \text{Cl}_2(\text{g}) + 3 \, \text{H}_2\text{O}(\text{l}) \] **Mechanism:** The reaction mechanism, which the overall reaction is expected to follow, involves several steps with varying rates: 1. \(\text{ClO}_3^-(\text{aq}) + \text{H}^+(\text{aq}) \leftrightarrow \text{HClO}_3(\text{aq}) \) (Fast equilibrium, \(k_1\)) 2. \(\text{HClO}_3(\text{aq}) + \text{H}^+(\text{aq}) \leftrightarrow \text{H}_2\text{ClO}_3^+(\text{aq}) \) (Fast equilibrium, \(k_{-1}\)) 3. \(\text{Cl}^-(\text{aq}) + \text{H}_2\text{ClO}_3^+(\text{aq}) \rightarrow (\text{ClClO2})(\text{aq}) + \text{H}_2\text{O}(\text{l}) \) (Slow, \(k_2\)) 4. \((\text{Cl-ClO2})(\text{aq}) + 4 \, \text{H}^+(\text{aq}) + 4 \, \text{Cl}^-(\text{aq}) \rightarrow \text{products} \) (Fast) **Rate Law Determination:** From the mechanism, we can derive the rate law based on the rate
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