Consider the following reaction mechanism. If this mechanism is correct, and ki is much smaller than k2, then the observed rate law would be: ki 2 A C + I k2 I + B C + D

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**Reaction Mechanism Explanation:**

Consider the following reaction mechanism. If this mechanism is correct, and \( k_1 \) is much smaller than \( k_2 \), then the observed rate law would be:

1. **Reaction Step 1:** 

   \[
   2A \xrightarrow{k_1} C + I
   \]

2. **Reaction Step 2:**

   \[
   I + B \xrightarrow{k_2} C + D
   \]

**Choices for the Observed Rate Law:**

- \( R = k_1 [A]^2 \)
- \( R = k_1 k_2 [A]^2 [I] [B] \)
- \( R = k_1 [A]^2 - k_2 [C] [D] \)
- \( R = k_1 [A] \)
- \( R = k_2 [I] [B] \)

**Explanation:**

The mechanism consists of two steps. In the first step, two molecules of A react to give species C and an intermediate I, with the rate constant \( k_1 \). In the second step, the intermediate I reacts with B to produce species C and D, with the rate constant \( k_2 \).

Since \( k_1 \) is much smaller than \( k_2 \), the first step is likely the rate-determining step. The observed rate law will depend on the concentration of reactants involved in this slowest step.
Transcribed Image Text:**Reaction Mechanism Explanation:** Consider the following reaction mechanism. If this mechanism is correct, and \( k_1 \) is much smaller than \( k_2 \), then the observed rate law would be: 1. **Reaction Step 1:** \[ 2A \xrightarrow{k_1} C + I \] 2. **Reaction Step 2:** \[ I + B \xrightarrow{k_2} C + D \] **Choices for the Observed Rate Law:** - \( R = k_1 [A]^2 \) - \( R = k_1 k_2 [A]^2 [I] [B] \) - \( R = k_1 [A]^2 - k_2 [C] [D] \) - \( R = k_1 [A] \) - \( R = k_2 [I] [B] \) **Explanation:** The mechanism consists of two steps. In the first step, two molecules of A react to give species C and an intermediate I, with the rate constant \( k_1 \). In the second step, the intermediate I reacts with B to produce species C and D, with the rate constant \( k_2 \). Since \( k_1 \) is much smaller than \( k_2 \), the first step is likely the rate-determining step. The observed rate law will depend on the concentration of reactants involved in this slowest step.
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