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The reaction obey I order with respect t...

The reaction obey I order with respect to `H_(2)` and `ICl` both.
`H_(2) (g) + 2ICl(g) rarr 2 HCl(g) + I_(2) (g)`
Which of the following mechanism is in consistent with the given fact ?
Mechanism A: `H_(2) (g) + 2Cl rarr 2HCl(g) + I_(2)(g)`
Mechanism B: (i) `H_(2)(g) + ICl(g) overset ("slow")rarr HCl(g) + HI(g)`
(ii) `HI(g) + ICl(g) rarr HCl(g) + I_(2)`

A

only B

B

Both A and B

C

Neither A nor B

D

Only A

Text Solution

AI Generated Solution

The correct Answer is:
To determine which mechanism is consistent with the reaction being first order with respect to both \( H_2 \) and \( ICl \), we will analyze the provided mechanisms step by step. ### Step 1: Understand the Reaction Order The given reaction is: \[ H_2(g) + 2ICl(g) \rightarrow 2HCl(g) + I_2(g) \] We know that the reaction is first order with respect to both \( H_2 \) and \( ICl \). This means that the rate of the reaction depends linearly on the concentrations of both reactants. ### Step 2: Analyze Mechanism A Mechanism A states: \[ H_2(g) + 2Cl \rightarrow 2HCl(g) + I_2(g) \] In this mechanism, the reaction involves \( H_2 \) and \( Cl \) (which is not a reactant in the overall reaction). Since \( Cl \) is not part of the original reaction and does not appear in the rate law, this mechanism does not reflect the first order dependence on \( H_2 \) and \( ICl \). Therefore, Mechanism A is inconsistent with the reaction order. ### Step 3: Analyze Mechanism B Mechanism B consists of two steps: 1. \( H_2(g) + ICl(g) \overset{\text{slow}}{\rightarrow} HCl(g) + HI(g) \) 2. \( HI(g) + ICl(g) \rightarrow HCl(g) + I_2(g) \) In the first step, which is the slow step, both \( H_2 \) and \( ICl \) are present. The rate of the reaction is determined by this slow step, which means the rate law can be expressed as: \[ \text{Rate} = k[H_2][ICl] \] This indicates that the reaction is first order with respect to both \( H_2 \) and \( ICl \), which is consistent with the given information. ### Step 4: Conclusion Since Mechanism B is consistent with the reaction being first order with respect to both \( H_2 \) and \( ICl \), we conclude that: - **Correct Mechanism**: Mechanism B ### Final Answer The mechanism that is consistent with the given fact is **Mechanism B**. ---
To determine which mechanism is consistent with the reaction being first order with respect to both \( H_2 \) and \( ICl \), we will analyze the provided mechanisms step by step. ### Step 1: Understand the Reaction Order The given reaction is: \[ H_2(g) + 2ICl(g) \rightarrow 2HCl(g) + I_2(g) \] We know that the reaction is first order with respect to both \( H_2 \) and \( ICl \). This means that the rate of the reaction depends linearly on the concentrations of both reactants. ...
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