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The reaction between ozone and nitrogen dioxide at 231 K is first-order in both [NO 2 ] and [O 3 ]. 2 NO 2 (g) + O 3 (g) → N 2 O 5 (g) + O 2 (g) (a) Write the rate equation for the reaction. (b) If the concentration of NO 2 is tripled (and [O 3 ] is not changed), what is the change in the reaction rate? (c) What is the effect on reaction rate if the concentration of O 3 is halved (with no change in [NO 2 ])?

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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 9PS
Textbook Problem
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The reaction between ozone and nitrogen dioxide at 231 K is first-order in both [NO2] and [O3].

2 NO2(g) + O3(g) → N2O5(g) + O2(g)

  1. (a) Write the rate equation for the reaction.
  2. (b) If the concentration of NO2 is tripled (and [O3] is not changed), what is the change in the reaction rate?
  3. (c) What is the effect on reaction rate if the concentration of O3 is halved (with no change in [NO2])?

(a)

Interpretation Introduction

Interpretation:

The rate equation for the reaction has to be written.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

  aA + bBxXRate of reaction = k [A]m[B]nTotalorderof reaction = (m + n)

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

Explanation of Solution

The rate of the reaction is given as,

  Reaction Rate = k [A]n,where n is the order of the reactant.Givenreaction 2NO2(g)+  O3(g)N2O5(g)+O2<

(b)

Interpretation Introduction

Interpretation:

The change in rate of the reaction when the concentration is tripled has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

  aA + bBxXRate of reaction = k [A]m[B]nTotalorderof reaction = (m + n)

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

(c)

Interpretation Introduction

Interpretation:

The effect on the reaction rate if the concentration of O3 is halved has to be given.

Concept introduction:

Rate law or rate equation: The relationship between the reactant concentrations and reaction rate is expressed by an equation.

  aA + bBxXRate of reaction = k [A]m[B]nTotalorderof reaction = (m + n)

Order of a reaction: The order of a reaction with respect to a particular reactant is the exponent of its concentration term in the rate law expression, and the overall reaction order is the sum of the exponents on all concentration terms.

Rate constant, k: It is a proportionality constant that relates rate and concentration at a given temperature.

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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. What is the primary reason that increasing the...Ch. 14.6 - Nitrogen monoxide is reduced by hydrogen to give...Ch. 14.6 - The Raschig reaction produces hydrazine, N2H4, an...Ch. 14.6 - One possible mechanism for the decomposition of...Ch. 14.6 - The rate equation for a reaction A + B C was...Ch. 14.6 - A reaction is believed to occur by the following...Ch. 14.6 - Catalase can decompose hydrogen peroxide to O2 and...Ch. 14.6 - How many moles of carbonic anhydrase (approximate...Ch. 14.6 - Sullivan used 578-nm light to dissociate I2...Ch. 14.6 - Show that the two step mechanism proposed by...Ch. 14.6 - Why is a termolecular elementary step likely to be...Ch. 14.6 - Determine the activation energy for the reaction...Ch. 14 - Give the relative rates of disappearance of...Ch. 14 - Give the relative rates of disappearance of...Ch. 14 - In the reaction 2 O3(g) 3 O2(g), the rate of...Ch. 14 - In the synthesis of ammonia, if [H2]/t = 4.5 104...Ch. 14 - Experimental data are listed here for the reaction...Ch. 14 - 6. Phenyl acetate, an ester, reacts with water...Ch. 14 - Using the rate equation Rate = k[A]2[B], define...Ch. 14 - A reaction has the experimental rate equation Rate...Ch. 14 - The reaction between ozone and nitrogen dioxide at...Ch. 14 - Nitrosyl bromide, NOBr, is formed from NO and Br2:...Ch. 14 - The data in the table are for the reaction of NO...Ch. 14 - The reaction 2 NO(g) + 2 H2(g) N2(g) + 2 H2O(g)...Ch. 14 - Data for the reaction NO(g) + O2(g) NO2(g) are...Ch. 14 - Data for the following reaction are given in the...Ch. 14 - The rate equation for the hydrolysis of sucrose to...Ch. 14 - The decomposition of N2O5 in CCl4 is a first-order...Ch. 14 - The decomposition of SO2Cl2 is a first-order...Ch. 14 - The conversion of cyclopropane to propene (Example...Ch. 14 - Hydrogen peroxide, H2O2(aq), decomposes to H2O()...Ch. 14 - The decomposition of nitrogen dioxide at a high...Ch. 14 - At 573 K, gaseous NO2(g) decomposes, forming NO(g)...Ch. 14 - The dimerization of butadiene, C4H6, to form...Ch. 14 - The decomposition of ammonia on a metal surface to...Ch. 14 - Hydrogen iodide decomposes when heated, forming...Ch. 14 - The rate equation for the decomposition of N2O5...Ch. 14 - Gaseous azomethane, CH3N=NCH3, decomposes in a...Ch. 14 - The decomposition of SO2Cl2 SO2Cl2(g) SO2(g) +...Ch. 14 - The compound Xe(CF3)2 decomposes in a first-order...Ch. 14 - The radioactive isotope 64Cu is used in the form...Ch. 14 - Radioactive gold-198 is used in the diagnosis of...Ch. 14 - Data for the decomposition of dinitrogen monoxide...Ch. 14 - Ammonia decomposes when heated according to the...Ch. 14 - Gaseous NO2 decomposes at 573 K. 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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