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Ozone, O 3 , in the Earth’s upper atmosphere decomposes according to the equation 2 O 3 (g) → 3 O 2 (g) The mechanism of the reaction is thought to proceed through an initial fast, reversible step followed by a slow, second step. Step 1: Fast, reversible O 3 (g) ⇄ O 2 (g) + O(g) Step 2: Slow O 3 (g) + O(g) → 2 O 2 (g) (a) Which of the steps is rate-determining? (b) Write the rate equation for the rate-determining step

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Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

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Chapter
Section
BuyFindarrow_forward

Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14, Problem 45PS
Textbook Problem
147 views

Ozone, O3, in the Earth’s upper atmosphere decomposes according to the equation

2 O3(g) → 3 O2(g)

The mechanism of the reaction is thought to proceed through an initial fast, reversible step followed by a slow, second step.

Step 1: Fast, reversible

O3(g) ⇄ O2(g) + O(g)

Step 2: Slow

O3(g) + O(g) → 2 O2(g)

  1. (a) Which of the steps is rate-determining?
  2. (b) Write the rate equation for the rate-determining step

(a)

Interpretation Introduction

Interpretation:

For the given chemical reaction the rate determining step has to be determined.

  2O3g3O2g

Concept introduction:

Rate determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Intermediate species: It is the species formed during the middle of the chemical reaction between the reactant and the desired product.

Explanation of Solution

Examining the given chemical equations shows that the given reaction is a two-step process in which the first step is fast reversible step whereas the second step is a slow one...

(b)

Interpretation Introduction

Interpretation:

For the given chemical reaction the rate equation for that step has to be determined.

    2O3g3O2g

Concept introduction:

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

Rate determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

Rate constant: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

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Chapter 14 Solutions

Chemistry & Chemical Reactivity
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Ch. 14.4 - Using the rate constant for HI decomposition given...Ch. 14.4 - The catalyzed decomposition of hydrogen peroxide...Ch. 14.4 - Americium is used in smoke detectors and in...Ch. 14.4 - The decomposition of N2O5 is a first-order...Ch. 14.4 - Which of the following will confirm that the...Ch. 14.4 - 3. The equation for the decomposition of NO2(g) at...Ch. 14.5 - Rate constants were determined for the...Ch. 14.5 - The colorless gas N2O4, decomposes to the brown...Ch. 14.5 - Which of the following graphs will produce a...Ch. 14.5 - 2. 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NO2(g) NO(g) + ...Ch. 14 - The decomposition of HOF occurs at 25 C. HOF(g) ...Ch. 14 - For the reaction C2F4 C4F8, a graph of 1/[C2F4]...Ch. 14 - Butadiene, C4H6(g), dimerizes when heated, forming...Ch. 14 - Calculate the activation energy, Ea, for the...Ch. 14 - If the rate constant for a reaction triples when...Ch. 14 - When healed lo a high temperature, cyclobutane,...Ch. 14 - When heated, cyclopropane is converted to propene...Ch. 14 - The reaction of H2 molecules with F atoms H2(g) +...Ch. 14 - Answer the following questions based on the...Ch. 14 - What is the rate law for each of the following...Ch. 14 - What is the rate law for each of the following...Ch. 14 - Ozone, O3, in the Earths upper atmosphere...Ch. 14 - The reaction of NO2(g) and CO(g) is thought to...Ch. 14 - A proposed mechanism for the reaction of NO2 and...Ch. 14 - The mechanism for the reaction of CH3OH and HBr is...Ch. 14 - A reaction has the following experimental rate...Ch. 14 - For a first-order reaction, what fraction of...Ch. 14 - To determine the concentration dependence of the...Ch. 14 - Data for the following reaction are given in the...Ch. 14 - Formic acid decomposes at 550 C according to the...Ch. 14 - Isomerization of CH3NC occurs slowly when CH3NC is...Ch. 14 - When heated, tetrafluoroethylene dimerizes to form...Ch. 14 - Data in the table were collected at 540 K for the...Ch. 14 - Ammonium cyanate, NH4NCO, rearranges in water to...Ch. 14 - NOx, mixture of NO and NO2, plays an essential...Ch. 14 - At temperatures below 500 K, the reaction between...Ch. 14 - Nitryl fluoride can be made by treating nitrogen...Ch. 14 - The decomposition of dinitrogen pentaoxide N2O5(g)...Ch. 14 - The data in the table give the temperature...Ch. 14 - The decomposition of gaseous dimethyl ether at...Ch. 14 - The decomposition of phosphine, PH3, proceeds...Ch. 14 - The thermal decomposition of diacetylene, C4H2,...Ch. 14 - Kinetic experiments were conducted to determine...Ch. 14 - The ozone in the Earths ozone layer decomposes...Ch. 14 - Hundreds of different reactions occur in the...Ch. 14 - Data for the reaction [Mn(CO)5(CH3CN)]+ + NC5H5 ...Ch. 14 - The gas-phase reaction 2 N2O5(g) 4 NO2(g) + O2(g)...Ch. 14 - A reaction that occurs in our atmosphere is the...Ch. 14 - The decomposition of SO2Cl2 to SO2 and Cl2 is...Ch. 14 - The decomposition of nitrogen dioxide at a high...Ch. 14 - Hydrogen peroxide, H2O2(aq), decomposes to H2O()...Ch. 14 - Egg protein albumin is precipitated when an egg is...Ch. 14 - A The compound 1,3-butadiene (C4H6) forms...Ch. 14 - Hypofluorous acid, HOF, is very unstable,...Ch. 14 - We know that the decomposition of SO2Cl2 is...Ch. 14 - Nitramide, NO2NH2, decomposes slowly in aqueous...Ch. 14 - Many biochemical reactions are catalyzed by acids....Ch. 14 - The enzyme chymotrypsin catalyzes the hydrolysis...Ch. 14 - The substitution of CO in Ni(CO)4 by another...Ch. 14 - The oxidation of iodide ion by the hypochlorite...Ch. 14 - The acid-catalyzed iodination of acetone...Ch. 14 - Hydrogenation reactions, processes wherein H2 is...Ch. 14 - The following statements relate to the reaction...Ch. 14 - Chlorine atoms contribute to the destruction of...Ch. 14 - Describe each of the following statements as true...Ch. 14 - Identify which of the following statements are...Ch. 14 - The reaction cyclopropane propene occurs on a...Ch. 14 - Isotopes are often used as tracers to follow an...Ch. 14 - Examine the reaction coordinate diagram given...Ch. 14 - Draw a reaction coordinate diagram for an...

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