General Chemistry - Standalone book (MindTap Course List)
General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN: 9781305580343
Author: Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher: Cengage Learning
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Chapter 13, Problem 13.32QP

(a)

Interpretation Introduction

Interpretation:

The given statements have to be answered.

Concept Introduction:

The time taken by the concentration of reaction to get reduced of its original concentration is called as half-life reaction.

Half life for first order reactions:

The half life for the first order reaction is constant and it is independent of the reactant concentration.

Half life period of first order reaction can be calculated using the equation,

t1/2=0.693k

Half life for second order reactions:

In second order reaction, the half-life is inversely proportional to the initial concentration of the reactant (A).

The half-life of second order reaction can be calculated using the equation,

t1/2=1(k[A]0)

Since the reactant will be consumed in lesser amount of time, these reactions will have shorter half-life.

To complete the pictures

(a)

Expert Solution
Check Mark

Explanation of Solution

The reaction follows first order with presence of half-life of ten seconds.

There are 16 AB particles present in the container,

After one half life (10s) 8 particles will be reacted and 8 remains unreacted.

After two-half lives (20s) 12 particles will be reacted and 4 remains unreacted.

The completed pictures are,

General Chemistry - Standalone book (MindTap Course List), Chapter 13, Problem 13.32QP

Figure 1

(b)

Interpretation Introduction

Interpretation:

The given statements have to be answered.

Concept Introduction:

The time taken by the concentration of reaction to get reduced of its original concentration is called as half-life reaction.

Half life for first order reactions:

The half life for the first order reaction is constant and it is independent of the reactant concentration.

Half life period of first order reaction can be calculated using the equation,

t1/2=0.693k

Half life for second order reactions:

In second order reaction, the half-life is inversely proportional to the initial concentration of the reactant (A).

The half-life of second order reaction can be calculated using the equation,

t1/2=1(k[A]0)

Since the reactant will be consumed in lesser amount of time, these reactions will have shorter half-life.

To explain the changes in completed figure if the reaction was second-order with same half life

(b)

Expert Solution
Check Mark

Explanation of Solution

If the half-life is similar for second-order reaction, the container t=20s would have more number of AB and fewer A and B when compared to part a.

(c)

Interpretation Introduction

Interpretation:

The given statements have to be answered.

Concept Introduction:

The time taken by the concentration of reaction to get reduced of its original concentration is called as half-life reaction.

Half life for first order reactions:

The half life for the first order reaction is constant and it is independent of the reactant concentration.

Half life period of first order reaction can be calculated using the equation,

t1/2=0.693k

Half life for second order reactions:

In second order reaction, the half-life is inversely proportional to the initial concentration of the reactant (A).

The half-life of second order reaction can be calculated using the equation,

t1/2=1(k[A]0)

Since the reactant will be consumed in lesser amount of time, these reactions will have shorter half-life.

To give the relative reaction rates for first order reaction at the start of reaction and after 10 seconds elapsed

(c)

Expert Solution
Check Mark

Explanation of Solution

After 10 seconds, the concentration of the particles is one-half their initial value. Then relative rate of reactions for first-order at the start and after 10 seconds are,

Rate0Rate10=k[A]o,0k[A]o,10=[A]o,0[A]o,10=[A]o1/2[A]o=2

(d)

Interpretation Introduction

Interpretation:

The given statements have to be answered.

Concept Introduction:

The time taken by the concentration of reaction to get reduced of its original concentration is called as half-life reaction.

Half life for first order reactions:

The half life for the first order reaction is constant and it is independent of the reactant concentration.

Half life period of first order reaction can be calculated using the equation,

t1/2=0.693k

Half life for second order reactions:

In second order reaction, the half-life is inversely proportional to the initial concentration of the reactant (A).

The half-life of second order reaction can be calculated using the equation,

t1/2=1(k[A]0)

Since the reactant will be consumed in lesser amount of time, these reactions will have shorter half-life.

To give the relative reaction rates for second order reaction at the start of reaction and after 10 seconds elapsed

(d)

Expert Solution
Check Mark

Explanation of Solution

After 10 seconds, the concentration of the particles is one-half their initial value. Then relative rate of reactions for second order at the start and after 10 seconds are,

Rate0Rate10=k[A]2o,0k[A]2o,10=([A]o,0[A]o,10)2=([A]o1/2[A]o)2=22=4

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Chapter 13 Solutions

General Chemistry - Standalone book (MindTap Course List)

Ch. 13.5 - Consider the following potential-energy curves for...Ch. 13.6 - Acetaldehyde, CH3CHO, decomposes when heated....Ch. 13.7 - Prob. 13.8ECh. 13.7 - Prob. 13.9ECh. 13.7 - Prob. 13.10ECh. 13.8 - The iodide-ion-catalyzed decomposition of hydrogen...Ch. 13.8 - Prob. 13.12ECh. 13.8 - Prob. 13.6CCCh. 13 - List the four variables or factors that can affect...Ch. 13 - Define the rate of reaction of HBr in the...Ch. 13 - Give at least two physical properties that might...Ch. 13 - A rate of reaction depends on four variables...Ch. 13 - Prob. 13.5QPCh. 13 - The reaction...Ch. 13 - The rate of a reaction is quadrupled when the...Ch. 13 - Prob. 13.8QPCh. 13 - The reaction A(g)B(g)+C(g) is known to be first...Ch. 13 - Prob. 13.10QPCh. 13 - Prob. 13.11QPCh. 13 - Sketch a potential-energy diagram for the...Ch. 13 - Draw a structural formula for the activated...Ch. 13 - Prob. 13.14QPCh. 13 - Prob. 13.15QPCh. 13 - Prob. 13.16QPCh. 13 - Prob. 13.17QPCh. 13 - Prob. 13.18QPCh. 13 - The dissociation of N2O4 into NO2, N2O4(g)2NO2(g)...Ch. 13 - Prob. 13.20QPCh. 13 - Prob. 13.21QPCh. 13 - Prob. 13.22QPCh. 13 - You are running the reaction 2A+BC+3D. Your lab...Ch. 13 - At a constant temperature, which of the following...Ch. 13 - Consider the reaction E+FG+H, which has the...Ch. 13 - The hypothetical reaction A+B+CD+E has the rate...Ch. 13 - Kinetics I Consider the hypothetical reaction A(g)...Ch. 13 - Kinetics II You and a friend are working together...Ch. 13 - Consider the reaction 3A2B+C. a One rate...Ch. 13 - Given the reaction 2A+BC+3D, can you write the...Ch. 13 - The reaction 2A(g)A2(g) is being run in each of...Ch. 13 - Prob. 13.32QPCh. 13 - You perform some experiments for the reaction AB+C...Ch. 13 - A friend of yours runs a reaction and generates...Ch. 13 - Prob. 13.35QPCh. 13 - You carry out the following reaction by...Ch. 13 - Prob. 13.37QPCh. 13 - The chemical reaction AB+C has a rate constant...Ch. 13 - Relate the rate of decomposition of NH4NO2 to the...Ch. 13 - For the reaction of hydrogen with iodine...Ch. 13 - To obtain the rate of the reaction...Ch. 13 - To obtain the rate of the reaction...Ch. 13 - Ammonium nitrite, NH4NO2, decomposes in solution,...Ch. 13 - Iron(III) chloride is reduced by tin(II) chloride....Ch. 13 - Azomethane, CH3NNCH3, decomposes according to the...Ch. 13 - Nitrogen dioxide, NO2, decomposes upon heating to...Ch. 13 - Hydrogen sulfide is oxidized by chlorine in...Ch. 13 - For the reaction of nitrogen monoxide, NO, with...Ch. 13 - Prob. 13.49QPCh. 13 - Prob. 13.50QPCh. 13 - In experiments on the decomposition of azomethane....Ch. 13 - Ethylene oxide. C2H4O, decomposes when heated to...Ch. 13 - Nitrogen monoxide NO, reacts with hydrogen to give...Ch. 13 - In a kinetic study of the reaction...Ch. 13 - Chlorine dioxide, ClO2, is a reddish-yellow gas...Ch. 13 - Iodide ion is oxidized to hypoiodite ion, IO, by...Ch. 13 - Sulfuryl chloride, SO2Cl2, decomposes when heated....Ch. 13 - Cyclopropane, C3H6, is converted to its isomer...Ch. 13 - A reaction of the form aA Products is second-order...Ch. 13 - A reaction of the form aA Products is second order...Ch. 13 - Ethyl chloride, CH3CH2Cl, used to produce...Ch. 13 - Cyclobutane, C4H8, consisting of molecules in...Ch. 13 - Methyl isocyanide, CH3NC, isomerizes, when heated,...Ch. 13 - Dinitrogen pentoxide, N2O5, decomposes when heated...Ch. 13 - In the presence of excess thiocyanate ion, SCN,...Ch. 13 - In the presence of excess thiocyanate ion, SCN,...Ch. 13 - A reaction of the form aA Products is second order...Ch. 13 - A reaction of the form aA Products is second order...Ch. 13 - In the presence of excess thiocyanate ion, SCN,...Ch. 13 - In the presence of excess thiocyanate ion, SCN,...Ch. 13 - It is found that a gas undergoes a zero-order...Ch. 13 - The reaction AB+C is found to be zero order. If it...Ch. 13 - Chlorine dioxide oxidizes iodide ion in aqueous...Ch. 13 - Methyl acetate, CH3COOCH3, reacts in basic...Ch. 13 - Sketch a potential-energy diagram for the reaction...Ch. 13 - Sketch a potential-energy diagram for the...Ch. 13 - In a series of experiments on the decomposition of...Ch. 13 - The reaction 2NOCl(g)2NO(g)+Cl2(g) has...Ch. 13 - The rate of a particular reaction increases by a...Ch. 13 - The rate of a particular reaction quadruples when...Ch. 13 - The following values of the rate constant were...Ch. 13 - The following values of the rate constant were...Ch. 13 - Nitrogen monoxide, NO, is believed to react with...Ch. 13 - The decomposition of ozone is believed to occur in...Ch. 13 - Identify the molecularity of each of the following...Ch. 13 - Prob. 13.86QPCh. 13 - Write a rate equation, showing the dependence of...Ch. 13 - Prob. 13.88QPCh. 13 - The isomerization of cyclopropane, C3H6, is...Ch. 13 - The thermal decomposition of nitryl chloride,...Ch. 13 - The reaction H2(g)+I2(g)2HI(g) may occur by the...Ch. 13 - Ozone decomposes to oxygen gas. 2O3(g)3O2(g) A...Ch. 13 - The following is a possible mechanism for a...Ch. 13 - Consider the following mechanism for a reaction in...Ch. 13 - A study of the decomposition of azomethane,...Ch. 13 - Nitrogen dioxide decomposes when heated....Ch. 13 - Prob. 13.97QPCh. 13 - Prob. 13.98QPCh. 13 - Methyl acetate reacts in acidic solution....Ch. 13 - Benzene diazonium chloride, C6H5NNCl, decomposes...Ch. 13 - What is the half-life of methyl acetate hydrolysis...Ch. 13 - What is the half-life of benzene diazonium...Ch. 13 - A compound decomposes by a first-order reaction....Ch. 13 - A compound decomposes by a first-order reaction....Ch. 13 - Butadiene can undergo the following reaction to...Ch. 13 - Prob. 13.106QPCh. 13 - Prob. 13.107QPCh. 13 - A second-order decomposition reaction run at 550oC...Ch. 13 - Prob. 13.109QPCh. 13 - Prob. 13.110QPCh. 13 - Prob. 13.111QPCh. 13 - Prob. 13.112QPCh. 13 - The decomposition of nitrogen dioxide,...Ch. 13 - Prob. 13.114QPCh. 13 - Prob. 13.115QPCh. 13 - Prob. 13.116QPCh. 13 - Nitryl bromide, NO2Br, decomposes into nitrogen...Ch. 13 - Tertiary butyl chloride reacts in basic solution...Ch. 13 - Urea, (NH2)2CO, can be prepared by heating...Ch. 13 - Prob. 13.120QPCh. 13 - A study of the gas-phase oxidation of nitrogen...Ch. 13 - The reaction of water with CH3Cl in acetone as a...Ch. 13 - The reaction of thioacelamidc with water is shown...Ch. 13 - Prob. 13.124QPCh. 13 - Prob. 13.125QPCh. 13 - Prob. 13.126QPCh. 13 - Prob. 13.127QPCh. 13 - Prob. 13.128QPCh. 13 - Prob. 13.129QPCh. 13 - Prob. 13.130QPCh. 13 - The rate constant for a certain reaction is 1.4 ...Ch. 13 - The decomposition of hydrogen peroxide is a first...Ch. 13 - Prob. 13.133QPCh. 13 - What is the rate law for the following gas-phase...Ch. 13 - A possible mechanism for a gas-phase reaction is...Ch. 13 - Say you run the following elementary, termolecular...Ch. 13 - Prob. 13.137QPCh. 13 - For the decomposition of one mole of nitrosyl...Ch. 13 - Given the following mechanism for a chemical...Ch. 13 - The following data were collected for the reaction...Ch. 13 - A hypothetical reaction has the two-step mechanism...Ch. 13 - Prob. 13.142QPCh. 13 - Prob. 13.143QPCh. 13 - Prob. 13.144QPCh. 13 - Dinitrogen pentoxide decomposes according to the...Ch. 13 - Prob. 13.146QPCh. 13 - Dinitrogen pentoxide, N2O5, undergoes first-order...Ch. 13 - Prob. 13.148QPCh. 13 - Hydrogen peroxide in aqueous solution decomposes...Ch. 13 - Nitrogen dioxide reacts with carbon monoxide by...Ch. 13 - Nitrogen monoxide reacts with oxygen to give...Ch. 13 - Nitrogen monoxide reacts with hydrogen as follows:...
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