Connect for Chemistry
13th Edition
ISBN: 9781260161854
Author: Raymond Chang, Jason Overby
Publisher: Mcgraw-hill Higher Education (us)
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13, Problem 13.83QP
The integrated rate law for the zero-order reaction A → B is [A]t = [A]0 − kt. (a) Sketch the following plots: (i) rate versus [A]t and (ii) [A]t versus t. (b) Derive an expression for the half-life of the reaction. (c) Calculate the time in half-lives when the integrated rate law is no longer valid, that is, when [A]t = 0.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Chapter 13 Solutions
Connect for Chemistry
Ch. 13.1 - Write the rate expressions for the following...Ch. 13.1 - Consider the reaction 4PH3(g)P4(g)+6H2(g) Suppose...Ch. 13.1 - Write a balanced equation for a gas-phase reaction...Ch. 13.1 - Write the rate expression for the following...Ch. 13.1 - For the same reaction, 2A+BC+2D what is the rate...Ch. 13.2 - The reaction of peroxydisulfate ion (S2O82) with...Ch. 13.2 - For the reaction A + 2B C + 2D, use the following...Ch. 13.2 - The relative rates of the reaction 2A + B ...Ch. 13.3 - The reaction 2A B is first order in A with a rate...Ch. 13.3 - Ethyl iodide (C2H5I) decomposes at a certain...
Ch. 13.3 - Calculate the half-life of the decomposition of...Ch. 13.3 - The reaction 2A B is second order with a rate...Ch. 13.3 - Consider the first-order reaction A B in which A...Ch. 13.3 - Consider the reaction A products. The half-life...Ch. 13.3 - Consider the first-order reaction A products. The...Ch. 13.3 - What is the initial concentration of a reactant in...Ch. 13.4 - The second-order rate constant for the...Ch. 13.4 - The first-order rate constant for the reaction of...Ch. 13.4 - What is the activation energy of a particular...Ch. 13.4 - Prob. 2RCFCh. 13.5 - The reaction between NO2 and CO to produce NO and...Ch. 13.5 - The rate law for the reaction H2 + 2IBr I2 + 2HBr...Ch. 13.5 - For the reaction between NO and O2, the following...Ch. 13.6 - Which of the following is false regarding...Ch. 13 - What is meant by the rate of a chemical reaction?...Ch. 13 - Distinguish between average rate and instantaneous...Ch. 13 - Prob. 13.3QPCh. 13 - Can you suggest two reactions that are very slow...Ch. 13 - Write the reaction rate expressions for the...Ch. 13 - Write the reaction rate expressions for the...Ch. 13 - Consider the reaction 2NO(g)+O2(g)2NO2(g) Suppose...Ch. 13 - Consider the reaction N2(g)+3H2(g)2NH3(g) Suppose...Ch. 13 - Explain what is meant by the rate law of a...Ch. 13 - What are the units for the rate constants of...Ch. 13 - Consider the zero-order reaction: A product. (a)...Ch. 13 - On which of the following properties does the rate...Ch. 13 - The rate law for the reaction...Ch. 13 - Use the data in Table 13.2 to calculate the rate...Ch. 13 - Consider the reaction A+Bproducts From the...Ch. 13 - Consider the reaction X+YZ From the following...Ch. 13 - Determine the overall orders of the reactions to...Ch. 13 - Consider the reaction AB The rate of the reaction...Ch. 13 - Cyclobutane decomposes to ethylene according to...Ch. 13 - The following gas-phase reaction was studied at...Ch. 13 - Prob. 13.21QPCh. 13 - Prob. 13.22QPCh. 13 - Prob. 13.23QPCh. 13 - Prob. 13.24QPCh. 13 - What is the half-life of a compound if 75 percent...Ch. 13 - The thermal decomposition of phosphine (PH3) into...Ch. 13 - The rate constant for the second-order reaction...Ch. 13 - The rate constant for the second-order reaction...Ch. 13 - Consider the first-order reaction A B shown here....Ch. 13 - The reaction X Y shown here follows first-order...Ch. 13 - Define activation energy. What role does...Ch. 13 - Prob. 13.32QPCh. 13 - Prob. 13.33QPCh. 13 - Prob. 13.34QPCh. 13 - Sketch a potential energy versus reaction progress...Ch. 13 - Prob. 13.36QPCh. 13 - The diagram in (a) shows the plots of ln k versus...Ch. 13 - Given the same reactant concentrations, the...Ch. 13 - Some reactions are described as parallel in that...Ch. 13 - Variation of the rate constant with temperature...Ch. 13 - For the reaction NO(g)+O3(g)NO2(g)+O2(g) the...Ch. 13 - The rate constant of a first-order reaction is...Ch. 13 - The rate constants of some reactions double with...Ch. 13 - Prob. 13.44QPCh. 13 - Consider the second-order reaction...Ch. 13 - The rate at which tree crickets chirp is 2.0 102...Ch. 13 - Prob. 13.47QPCh. 13 - What do we mean by the mechanism of a reaction?...Ch. 13 - Classify each of the following elementary steps as...Ch. 13 - Reactions can be classified as unimolecular,...Ch. 13 - Determine the molecularity and write the rate law...Ch. 13 - What is the rate-determining step of a reaction?...Ch. 13 - The equation for the combustion of ethane (C2H6)...Ch. 13 - Specify which of the following species cannot be...Ch. 13 - The rate law for the reaction...Ch. 13 - For the reaction X2 + Y + Z XY + XZ it is found...Ch. 13 - Prob. 13.57QPCh. 13 - The rate law for the reaction...Ch. 13 - How does a catalyst increase the rate of a...Ch. 13 - What are the characteristics of a catalyst?Ch. 13 - A certain reaction is known to proceed slowly at...Ch. 13 - Distinguish between homogeneous catalysis and...Ch. 13 - Prob. 13.63QPCh. 13 - The concentrations of enzymes in cells are usually...Ch. 13 - The diagram shown here represents a two-step...Ch. 13 - Consider the following mechanism for the...Ch. 13 - The following diagrams represent the progress of...Ch. 13 - Prob. 13.68QPCh. 13 - Prob. 13.69QPCh. 13 - List four factors that influence the rate of a...Ch. 13 - Prob. 13.71QPCh. 13 - Prob. 13.72QPCh. 13 - Prob. 13.73QPCh. 13 - The following data were collected for the reaction...Ch. 13 - Prob. 13.75QPCh. 13 - The rate of the reaction...Ch. 13 - Which of the following equations best describes...Ch. 13 - Prob. 13.78QPCh. 13 - The bromination of acetone is acid-catalyzed:...Ch. 13 - The decomposition of N2O to N2 and O2 is a...Ch. 13 - The reaction S2O82+2I2SO42+I2 proceeds slowly in...Ch. 13 - Prob. 13.82QPCh. 13 - The integrated rate law for the zero-order...Ch. 13 - Prob. 13.84QPCh. 13 - Prob. 13.85QPCh. 13 - The diagrams here represent the reaction A + B C...Ch. 13 - Prob. 13.87QPCh. 13 - The rate law for the reaction 2NO2 (g) N2O4(g) is...Ch. 13 - Prob. 13.89QPCh. 13 - Prob. 13.90QPCh. 13 - Briefly comment on the effect of a catalyst on...Ch. 13 - When 6 g of granulated Zn is added to a solution...Ch. 13 - Prob. 13.93QPCh. 13 - A certain first-order reaction is 35.5 percent...Ch. 13 - The decomposition of dinitrogen pentoxide has been...Ch. 13 - The thermal decomposition of N2O5 obeys...Ch. 13 - Prob. 13.97QPCh. 13 - Prob. 13.99QPCh. 13 - Prob. 13.100QPCh. 13 - Prob. 13.101QPCh. 13 - Chlorine oxide (ClO), which plays an important...Ch. 13 - Prob. 13.103QPCh. 13 - Prob. 13.104QPCh. 13 - Prob. 13.105QPCh. 13 - Prob. 13.106QPCh. 13 - Prob. 13.107QPCh. 13 - Prob. 13.108QPCh. 13 - Prob. 13.109QPCh. 13 - Thallium(I) is oxidized by cerium(IV) as follows:...Ch. 13 - Prob. 13.111QPCh. 13 - Prob. 13.112QPCh. 13 - Prob. 13.113QPCh. 13 - Prob. 13.114QPCh. 13 - Strontium-90, a radioactive isotope, is a major...Ch. 13 - Prob. 13.117QPCh. 13 - Consider the following potential energy profile...Ch. 13 - Prob. 13.119QPCh. 13 - Prob. 13.120QPCh. 13 - Prob. 13.121QPCh. 13 - Prob. 13.122QPCh. 13 - Prob. 13.123QPCh. 13 - Prob. 13.124QPCh. 13 - Polyethylene is used in many items, including...Ch. 13 - Prob. 13.126QPCh. 13 - Prob. 13.127QPCh. 13 - Prob. 13.128QPCh. 13 - Prob. 13.129QPCh. 13 - Prob. 13.130QPCh. 13 - Prob. 13.131QPCh. 13 - A gas mixture containing CH3 fragments, C2H6...Ch. 13 - Prob. 13.133QPCh. 13 - The activation energy (Ea) for the reaction...Ch. 13 - The rate constants for the first-order...Ch. 13 - Prob. 13.136QPCh. 13 - An instructor performed a lecture demonstration of...Ch. 13 - Prob. 13.138QPCh. 13 - Is the rate constant (k) of a reaction more...Ch. 13 - Prob. 13.140QPCh. 13 - Prob. 13.141QPCh. 13 - Prob. 13.142QP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- Define stability from both a kinetic and thermodynamic perspective. Give examples to show the differences in these concepts.arrow_forwardThe hydrolysis of the sugar sucrose to the sugars glucose and fructose, C12H22O11+H2OC6H12O6+C6H12O6 follows a first-order rate equation for the disappearance of sucrose: Rate =k[C12H22O11] (The products of the reaction, glucose and fructose, have the same molecular formulas but differ in the arrangement of the atoms in their molecules.) (a) In neutral solution, k=2.11011s1 at 27 C and 8.51011s1 at 37 C. Determine the activation energy, the frequency factor, and the rate constant for this equation at 47 C (assuming the kinetics remain consistent with the Arrhenius equation at this temperature). (b) When a solution of sucrose with an initial concentration of 0.150 M reaches equilibrium, the concentration of sucrose is 1.65107M . How long will it take the solution to reach equilibrium at 27 C in the absence of a catalyst? Because the concentration of sucrose at equilibrium is so low, assume that the reaction is irreversible. (c) Why does assuming that the reaction is irreversible simplify the calculation in pan (b)?arrow_forwardThe Raschig reaction produces the industrially important reducing agent hydrazine, N2H4, from ammonia, NH3, and hypochlorite ion, OCl−, in basic aqueous solution. A proposed mechanism is Step 1: Step 2: Step 3: What is the overall stoichiometric equation? Which step is rate-limiting? What reaction intermediates are involved? What rate law is predicted by this mechanism?arrow_forward
- At 573 K, gaseous NO2(g) decomposes, forming NO(g) and O2(g). If a vessel containing NO2(g) has an initial concentration of 1.9 102 mol/L, how long will it take for 75% of the NO2(g) to decompose? The decomposition of NO2(g) is second-order in the reactant and the rate constant for this reaction, at 573 K, is 1.1 L/mol s.arrow_forwardOne possible mechanism for the decomposition of nitryl chloride, NO2CI, is What is the overall reaction? What rate law would be derived from this mechanism? What effect does increasing the concentration of the product NO2 have on the reaction rate?arrow_forwardSucrose, a sugar, decomposes in acid solution to give glucose and fructose. The reaction is first-order in sucrose, and the rate constant at 25 C is k = 0.21 h1. If the initial concentration of sucrose is 0.010 mol/L, what is its concentration after 5.0 h?arrow_forward
- Regular ?ights of supersonic aircraft in the stratosphere ale of concern because such aircraft produce nitric oxide, NO, as a byproduct in the exhaust of their engines. Nitric oxide reacts with ozone, and it has been suggested that this could contribute to depletion of the ozone layer. The reaction NO+O3NO2+O2 is first order with respect to both NO and O3 with a rate constant of 2.20107 L/mol/s. What is the instantaneous rate of disappearance of NO when [NO]=3.3106 M and [O3]=5.9107M?arrow_forwardThe decomposition of iodoethane in the gas phase proceeds according to the following equation: C2H5I(g)C2H4(g)+HI(g) At 660. K, k = 7.2 104 sl; at 720. K, k = 1.7 102 sl. What is the value of the rate constant for this first-order decomposition at 325C? If the initial pressure of iodoethane is 894 torr at 245C, what is the pressure of iodoethane after three half-lives?arrow_forwardThe frequency factor A is 6.31 108 L mol1 s1 and the activation energy is 10. kJ/mol for the gas-phase reaction NO(g)+O3(g)NO2(g)+O2(g) which is important in the chemistry of stratospheric ozone depletion. (a) Calculate the rate constant for this reaction at 370. K. (b) Assuming that this is an elementary reaction, calculate the rate of the reaction at 370. K if [NO] = 0.0010 M and [O3] = 0.00050 M.arrow_forward
- The initial rate for a reaction is equal to the slope of the tangent line at t 0 in a plot of [A] versus time. From calculus, initial rate = d[A]dt . Therefore. the differential rate law for a reaction is Rate = d[A]dt=k[A]n. Assuming you have some calculus in your background, derive the zero-, first-, and second-order integrated rate laws using the differential rate law.arrow_forwardMany biochemical reactions are catalyzed by acids. A typical mechanism consistent with the experimental results (in which HA is the acid and X is the reactant) is Step 1: Step 2: Step 3: Derive the rate law from this mechanism. Determine the order of reaction with respect to HA. Determine how doubling the concentration of HA would affect the rate of the reaction.arrow_forwardFor a reaction involving the decomposition of Z at a certain temperature, the following data are obtained: (a) What is the order of the reaction? (b) Write the rate expression for the decomposition of Z. (c) Calculate k for the decomposition at that temperature.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
ChemistryChemistryISBN:9781305957404Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCostePublisher:Cengage Learning
Chemistry: An Atoms First ApproachChemistryISBN:9781305079243Author:Steven S. Zumdahl, Susan A. ZumdahlPublisher:Cengage Learning
Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage Learning
Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage Learning
Chemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Chemistry: An Atoms First Approach
Chemistry
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Cengage Learning
Chemistry: The Molecular Science
Chemistry
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:Cengage Learning
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Kinetics: Initial Rates and Integrated Rate Laws; Author: Professor Dave Explains;https://www.youtube.com/watch?v=wYqQCojggyM;License: Standard YouTube License, CC-BY