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Ch.14 - Chemical Kinetics
Chapter 14, Problem 112a,b

In a hydrocarbon solution, the gold compound (CH3)3AuPH3 decomposes into ethane (C2H6) and a different gold compound, (CH3)AuPH3. The following mechanism has been proposed for the decomposition of (CH3)3AuPH3:
Step 1: (CH3)3AuPH3 k1⇌k-1 (CH3)3Au + PH3 (fast)
Step 2: (CH3)3Au k2→ C2H6 + (CH3)Au (slow)
Step 3: (CH3)Au + PH3 k3→ (CH3)AuPH3 (fast)
(a) What is the overall reaction?
(b) What are the intermediates in the mechanism?

Verified step by step guidance
1
Step 1: To determine the overall reaction, we need to add up all the steps in the mechanism. Start by writing down each step of the mechanism: Step 1: (CH3)3AuPH3 ⇌ (CH3)3Au + PH3, Step 2: (CH3)3Au → C2H6 + (CH3)Au, Step 3: (CH3)Au + PH3 → (CH3)AuPH3.
Step 2: Cancel out any species that appear on both sides of the reaction steps. In this case, (CH3)3Au and PH3 are intermediates that appear in both the reactants and products of the steps.
Step 3: After canceling the intermediates, combine the remaining species to write the overall reaction. The reactants and products that are not canceled will form the overall balanced equation.
Step 4: Identify the intermediates in the mechanism. Intermediates are species that are produced in one step and consumed in another. In this mechanism, (CH3)3Au and (CH3)Au are intermediates.
Step 5: Summarize the findings: The overall reaction is the net result of the mechanism steps after canceling intermediates, and the intermediates are the species that do not appear in the overall reaction but are present in the mechanism steps.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Reaction Mechanism

A reaction mechanism is a step-by-step description of the process by which reactants are converted into products. It outlines the individual steps, including the formation of intermediates and the transition states, which help in understanding how the overall reaction occurs. In this case, the mechanism involves multiple steps, with specific rates and intermediates that play crucial roles in the decomposition of the gold compound.
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Intermediates

Intermediates are species that are formed during the reaction mechanism but are not present in the final products. They are typically unstable and exist only for a short duration. Identifying intermediates is essential for understanding the pathway of the reaction, as they can influence the rate and outcome of the overall reaction. In the provided mechanism, (CH<sub>3</sub>)Au and (CH<sub>3</sub>)AuPH<sub>3</sub> are examples of intermediates.
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Overall Reaction

The overall reaction represents the net change from reactants to products, summarizing the entire process in a single equation. It is derived by combining the individual steps of the mechanism and canceling out any intermediates that appear on both sides. For the given hydrocarbon solution, determining the overall reaction involves identifying the starting materials and the final products, which in this case are ethane and a different gold compound.
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Related Practice
Textbook Question
The following mechanism has been proposed for the gasphase reaction of chloroform 1CHCl32 and chlorine: Step 1: Cl21g2 Δ k1 k - 1 2 Cl1g2 1fast2 Step 2: Cl1g2 + CHCl31g2 ¡k2 HCl1g2 + CCl31g2 1slow2 Step 3: Cl1g2 + CCl31g2 ¡k3 CCl4 1fast2 (a) What is the overall reaction?
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Textbook Question

The following mechanism has been proposed for the gasphase reaction of chloroform 1CHCl32 and chlorine:

Step 1: Cl2(g) k1⇌ k-1 2 Cl(g) (fast)

Step 2: Cl(g) + CHCl3(g) k2→ HCl(g) + CCl3(g) (slow)

Step 3: Cl(g0 + CCl3(g) k3→ CCl4 (fast)

(e) What is the rate law predicted by this mechanism? (Hint: The overall reaction order is not an integer.)

Open Question
Consider the hypothetical reaction 2 A + B → 2 C + D. The following two-step mechanism is proposed for the reaction: Step 1: A + B → C + X Step 2: A + X → C + D. X is an unstable intermediate. (c) Your result for part (b) might be considered surprising for which of the following reasons: (i) The concentration of a product is in the rate law. (ii) There is a negative reaction order in the rate law. (iii) Both reasons (i) and (ii). (iv) Neither reasons (i) nor (ii).
Textbook Question

In a hydrocarbon solution, the gold compound (CH3)3AuPH3 decomposes into ethane (C2H6) and a different gold compound, (CH3)AuPH3. The following mechanism has been proposed for the decomposition of (CH3)3AuPH3:

Step 1: (CH3)3AuPH3 k1⇌k-1 (CH3)3Au + PH3 (fast)

Step 2: (CH3)3Au k2→ C2H6 + (CH3)Au (slow)

Step 3: (CH3)Au + PH3 k3→ (CH3)AuPH3 (fast)

(c) What is the molecularity of each of the elementary steps?

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Textbook Question

In a hydrocarbon solution, the gold compound (CH3)3AuPH3 decomposes into ethane (C2H6) and a different gold compound, (CH3)AuPH3. The following mechanism has been proposed for the decomposition of (CH3)3AuPH3:

Step 1: (CH3)3AuPH3 k1⇌k-1 (CH3)3Au + PH3 (fast)

Step 2: (CH3)3Au k2→ C2H6 + (CH3)Au (slow)

Step 3: (CH3)Au + PH3 k3→ (CH3)AuPH3 (fast)

(e) What is the rate law predicted by this mechanism?

529
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Textbook Question

In a hydrocarbon solution, the gold compound (CH3)3AuPH3 decomposes into ethane (C2H6) and a different gold compound, (CH3)AuPH3. The following mechanism has been proposed for the decomposition of (CH3)3AuPH3:

Step 1: (CH3)3AuPH3 k1⇌k-1 (CH3)3Au + PH3 (fast)

Step 2: (CH3)3Au k2→ C2H6 + (CH3)Au (slow)

Step 3: (CH3)Au + PH3 k3→ (CH3)AuPH3 (fast)

(f) What would be the effect on the reaction rate of adding PH3 to the solution of (CH3)3AuPH3?

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