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

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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1
Step 1: Understand the reaction mechanism. The reaction occurs in two steps: Step 1 involves the formation of a carbocation intermediate, and Step 2 involves the reaction of this intermediate with a chloride ion.
Step 2: Identify the rate-determining step. The rate-determining step is the slowest step in the mechanism, which controls the overall reaction rate. In this mechanism, Step 1 is typically the rate-determining step because it involves the formation of the carbocation, which is often the slower process.
Step 3: Determine the molecularity of the rate-determining step. The molecularity refers to the number of reactant molecules involved in the rate-determining step. In Step 1, both HCl and ethene (H2C=CH2) are involved, making it a bimolecular step.
Step 4: Relate molecularity to reaction order. For elementary reactions, the order of the reaction is equal to the molecularity of the rate-determining step. Since Step 1 is bimolecular, the reaction is expected to be second order.
Step 5: Conclude the expected order of the reaction. Based on the proposed mechanism and the analysis of the rate-determining step, the expected order of the reaction is second order, with respect to the concentrations of HCl and ethene.

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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 pathway taken by reactants to form products. It outlines the individual steps, including the formation of intermediates and the transition states. Understanding the mechanism helps predict the rate and order of the reaction, as it reveals how reactants interact and the sequence of events leading to product formation.
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Order of Reaction

The order of a reaction refers to the power to which the concentration of a reactant is raised in the rate law expression. It indicates how the rate of reaction is affected by the concentration of reactants. For example, a first-order reaction depends linearly on the concentration of one reactant, while a second-order reaction depends on the square of the concentration of one reactant or the product of the concentrations of two reactants.
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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. In the given reaction, the carbocation (H3C=CH2+) and chloride ion (Cl-) are intermediates that play a crucial role in determining the reaction's rate and order, as their formation and consumption influence the overall kinetics.
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Related Practice
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

a. Based on the energy diagram, determine which step is rate limiting.

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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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Textbook Question

The evaporation of a 120-nm film of n-pentane from a single crystal of aluminum oxide is zero order with a rate constant of 1.92⨉1013 molecules/cm2•s at 120 K. a. If the initial surface coverage is 8.9⨉1016 molecules/cm2, how long will it take for one-half of the film to evaporate?

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