An excited ozone molecule, O3", in the atmosphere can undergo one of the following reactions, 03' O3 0, -- 0+ 02 03 +M - 03 + M (1) fluorescence (2) decomposition (3) deactivation, where M is an inert molecule, the rate constant for the fluorescence reaction is k1, the rate constant for the decomposition reaction is k2, and the rate constant for the deactivation reaction is k3. Write a simplified expression for the fraction, X, of ozone molecules undergoing decomposition in terms of the rate constants. (Use the following as necessary: k1, k2, k3, co for [03"), and CM for (M].)

An excited ozone molecule, O3", in the atmosphere can undergo one of the following reactions, 03' O3 0, -- 0+ 02 03 +M - 03 + M (1) fluorescence (2) decomposition (3) deactivation, where M is an inert molecule, the rate constant for the fluorescence reaction is k1, the rate constant for the decomposition reaction is k2, and the rate constant for the deactivation reaction is k3. Write a simplified expression for the fraction, X, of ozone molecules undergoing decomposition in terms of the rate constants. (Use the following as necessary: k1, k2, k3, co for [03"), and CM for (M].)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

As described in Problem P17D.5, reaction with the hydroxyl radical OH is the main path by which CH4 is removed from the lower atmosphere. T. Gierczak et al. (J. Phys. Chem. A 101, 3125 (1997)) measured the rate constants for the bimolecular gas-phase reaction CH4 + OH → CH3 + H2O and found A = 1.13 × 109 dm3 mol−1 s−1 and Ea = 14.1 kJ mol−1 for the Arrhenius parameters. (a) Estimate the rate of consumption of CH4 under the following conditions: take the average OH concentration to be 3.5 × 10−15 mol dm−3, that of CH4 to be 40 nmol dm−3, and the temperature to be −10 °C. (b) Estimate the global annual mass of CH4 consumed by this reaction (which is slightly less than the mass introduced to the atmosphere) given an effective volume for the Earth’s lower atmosphere of 4 × 1021 dm3.
b) Use the following data to identify the rate law for the photochemical decomposition of NO2. [NO2] (M) Rate (M/s) 2.45x103 Exp. 1 0.35 0.45 3.15х103
Suppose that an energy of 250 kJ mol−1 is available in a collision but 200 kJ mol−1 is needed to break a particular bond in a molecule with s = 10. Use the RRK model to calculate the ratio kb(E)/kb.
The decomposition of dinitrogen pentoxide gas at 318.15K is measured as the decrease of N,O5 concentration in partial pressures (mm): The data are shown graphically: Time (s) [N2O5] (mm) 348 6 247 12 195 24 105 36 58 48 33 60 18 72 10 Calculate the rate constant for the reaction. Use Excel to plot the pertinent data and use linear regression to calculate the slope of the line connecting your data.
In the dimerization of methyl radicals at 25 °C, the experimentally determined frequency factor is 2.4 × 1010 dm3 mol−1 s−1. What are (a) the reactive cross-section, and (b) the steric factor for the reaction given that the C–H bond length is 154 pm?
E17B.1(b) In a study of the enzyme-catalysed oxidation of ethanol, the molar concentration of ethanol decreased in a first-order reaction from in 1.22 x 10 s. What is the rate constant of to 56.0 mmol dm 220 mmol dm the reaction? ha balf life for the decomposition of a sample of gaseous -10
Give the equation for quantum yield j. rate of formation of the singlet state rate of ith decay mechanism rate of ith decay mechanism rate of removal of the singlet state rate of ith decay mechanism rate of formation of the singlet state rate of removal of the singlet state rate of ith decay mechanism Step 4 of 6 Give the quantum yield ;. (Use the following as necessary: kj, k1, k2, k3, and t.) k1 + k, + k = ki 3 k1 + k2 + k3 Recalling the relationship between the overall rate constant, k, and the mean lifetime, T, give the quantum yield D; in terms of T and Tj. (Use the following as necessary: T and T;) i Step 5 of 6 (c) If T1 = 1×10-7 s, T2 = 4x10-8 s, and T3 = 1x10-8 s, calculate the lifetime of the singlet state and the quantum yield for the path that has T2. (Enter an unrounded value with at least 3 digits.) 1 using the equation given in (b). Calculate = 7.407e-9 s-1 Solve for T, the lifetime of the singlet state. T = .185175 X S Submit
In a study of the formation of HI from its elements,H₂(g)+I₂(g)→ 2HI(g) equal amounts of H₂ and I₂ were placed in a container, whichwas then sealed and heated.(a) On one set of axes, sketch concentration vs. time curves for H₂ and HI, and explain how Qchanges as a function of time.(b) Is the value of Qdifferent if [I₂] is plotted instead of [H₂]?
4) Use collision theory to calculate an estimate of the Arrhenius pre-exponential factor for the reaction of two chlorine, 35CI, atoms at a temperature of 298 K. The collisional cross section of a chlorine atom is estimated to be 0.064 nm?.
Chlorine atoms react with methane, forming HCl and CH3. The rate constant for the reaction is 6.00 × 107 M–1 s–1 at 298 K. The experiment was repeated at three other temperatures, resulting in the following data: Calculate the the activation energy for the reaction in kJ/mol
Show that the initial rate law predicted by the reaction mechanism 6-12a-c, with the first step rate-limiting, is rate = 2k,[Cl,]. Assume that the Cl - produced in step (3) can be neglected initially.
The half-life for the radioactive decay of U-238 is 4.5 billion years and is independent of initial concentration. D Part A How long will it take for 10% of the U-238 atoms in a sample of U-238 to decay? Express your answer using two significant figures. 195] ΑΣΦ t = 0.638 Submit Previous Answers Request Answer * Incorrect; Try Again; 4 attempts remaining Part B ? 196] ΑΣΦΑ N = 1.88. 10° If a sample of U-238 initially contained 1.4x108 atoms when the universe was formed 13,8 billion years a many U-238 atoms will it contain today? Express your answer using two significant figures. Submit Previous Answers Request Answer ? 5. X Incorrect; Try Again; 3 attempts remaining atoms.