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 13.107QP
Interpretation Introduction

Interpretation:

The concentration of NO2 after 2.5×102sec and half-life period has to be calculated.

Concept introduction:

Integrated rate law for second order reactions:

Taking in the example of following reaction,

aAproducts

And the reaction follows second order rate law,

Then the relationship between the concentration of A and time can be mathematically expressed as,

1[A]t=kt+1[A]0

The above expression is called as integrated rate for second order reactions.

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.

Expert Solution & Answer
Check Mark

Answer to Problem 13.107QP

The concentration of NO2 after 2.5×102sec is 4.7×10-3M .

The half life period of the reaction is 26s .

Explanation of Solution

To calculate the concentration of NO2 after 2.5×102sec

The integrated rate law for second order reaction is,

1[A]t=kt+1[A]0

Given,

Concentration of NO2(A)=0.050M

Rate constant = 0.775L/(mol.s)

After 2.5×102sec concentration of NO2 becomes,

1[A]t=0.755L/(mol.s)(2.5×102s)+10.050mol/L1[A]t=193L/mol+20.0L/mol=213.L/mol1[A]t=1213L/mol=4.67×10-3=4.7×10-3M

The concentration of NO2 after 2.5×102sec = 4.7×10-3M .

To calculate the half life of the reaction

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

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

Given,

Concentration of NO2(A)=0.050M

Rate constant = 0.775L/(mol.s)

Then, the half life period is calculated as,

t1/2=1(0.755L(mol.s))(0.050mol/L)t1/2=25.80=26s

The half-life period of the reaction = 26s .

Conclusion

The concentration of NO2 after 2.5×102sec and half-life period was calculated using the integrated law and half-life period for second order reactions and were found to be 4.7×10-3M and 26s .

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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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Kinetics: Initial Rates and Integrated Rate Laws; Author: Professor Dave Explains;https://www.youtube.com/watch?v=wYqQCojggyM;License: Standard YouTube License, CC-BY