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Ch.15 - Chemical Kinetics
Chapter 15, Problem 96a

Consider the reaction in which HCl adds across the double bond of ethene: HCl + H2C=CH2 → H3C-CH2Cl The following mechanism, with the accompanying energy diagram, has been suggested for this reaction:
Step 1 HCl + H2C=CH2 → H3C=CH2+ + Cl-
Step 2 H3C=CH2+ + Cl- → H3C-CH2Cl
a. Based on the energy diagram, determine which step is rate limiting.

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Identify the rate-limiting step as the one with the highest energy barrier in the energy diagram.
Examine the energy diagram to find the step with the largest activation energy, which is the energy difference between the reactants and the transition state.
In the given mechanism, compare the energy levels of the transition states for Step 1 and Step 2.
The step with the higher transition state energy compared to its starting materials is the rate-limiting step.
Conclude that the step with the highest energy barrier is the rate-limiting step, as it determines the overall reaction rate.

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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 describes the step-by-step sequence of elementary reactions by which overall chemical change occurs. In this case, the mechanism involves two steps: the formation of a carbocation intermediate and its subsequent reaction with a chloride ion. Understanding the mechanism is crucial for analyzing how reactants transform into products and identifying the rate-limiting step.
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Rate Limiting Step

The rate limiting step in a reaction mechanism is the slowest step that determines the overall rate of the reaction. It is often characterized by a higher activation energy compared to other steps. In the provided mechanism, identifying which step is rate limiting involves examining the energy diagram to see where the largest energy barrier occurs, indicating the step that will take the longest to proceed.
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Energy Diagram

An energy diagram visually represents the energy changes during a chemical reaction, showing the energy of reactants, products, and intermediates. It typically includes activation energies for each step and the overall energy change. By analyzing the energy diagram associated with the reaction, one can determine the relative energies of the transition states and identify the rate limiting step based on the highest peak in the diagram.
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Related Practice
Textbook Question

Iodine atoms combine to form I2 in liquid hexane solvent with a rate constant of 1.5⨉1010 L/mols. The reaction is second order in I. Since the reaction occurs so quickly, the only way to study the reaction is to create iodine atoms almost instantaneously, usually by photochemical decomposition of I2. Suppose a flash of light creates an initial [I] concentration of 0.0100 M. How long will it take for 95% of the newly created iodine atoms to recombine to form I2?

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Textbook Question

Consider this energy diagram:

a. How many elementary steps are involved in this reaction?

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Textbook Question

Consider this energy diagram:

d. Is the overall reaction endothermic or exothermic?

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Textbook Question

Consider the reaction in which HCl adds across the double bond of ethene: HCl + H2C=CH2 → H3C-CH2Cl The following mechanism, with the accompanying energy diagram, has been suggested for this reaction:

Step 1 HCl + H2C=CH2 → H3C=CH2+ + Cl-

Step 2 H3C=CH2+ + Cl- → H3C-CH2Cl

b. What is the expected order of the reaction based on the proposed mechanism?

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Textbook Question

The desorption (leaving of the surface) of a single molecular layer of n-butane from a single crystal of aluminum oxide is found to be first order with a rate constant of 0.128/s at 150 K. a. What is the half-life of the desorption reaction?-

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Textbook Question

The desorption (leaving of the surface) of a single molecular layer of n-butane from a single crystal of aluminum oxide is found to be first order with a rate constant of 0.128/s at 150 K. b. If the surface is initially completely covered with n-butane at 150 K, how long will it take for 25% of the molecules to desorb (leave the surface)? For 50% to desorb?

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