P3.1: In the atmosphere, molecular oxygen is photochemically decomposed as follows: 02+hv0(D) + O(3P) The major loss processes for these atoms are: (3.1) O(D)+MO(3P) +M and (3.2) O(3P)+O+MO+M (3.3) with rate constants k and k, respectively and where M is N or 02. and noting (a) By equating the rate of reaction (3.1) to I abs reaction (3.2), write down a kinetic equation for d[O('D)]/dt. (b) Using the result in (a) find an approximate expression for [O('D)] by applying the steady-state hypothesis to O('D). (c) By integration of the rate law in (a) show that
P3.1: In the atmosphere, molecular oxygen is photochemically decomposed as follows: 02+hv0(D) + O(3P) The major loss processes for these atoms are: (3.1) O(D)+MO(3P) +M and (3.2) O(3P)+O+MO+M (3.3) with rate constants k and k, respectively and where M is N or 02. and noting (a) By equating the rate of reaction (3.1) to I abs reaction (3.2), write down a kinetic equation for d[O('D)]/dt. (b) Using the result in (a) find an approximate expression for [O('D)] by applying the steady-state hypothesis to O('D). (c) By integration of the rate law in (a) show that
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...
Related questions
Question
O(1D) is just O*
O(3P) is just oxgen molecule O.
adapted from the textbook atmospheric chemistry: from the surface to the stratosphere (Grant Ritcie)
could you plz provide the solutions for questions A to F
![P
O iil
Q
☎
8
E
99
{0}
13
of 19
P3.1: In the atmosphere, molecular oxygen is photochemically
decomposed as follows:
O2+ hv→ O(¹D) + O(³P)
O(¹D) + MO(³P) + M
[O(¹D)] =
The major loss processes for these atoms are:
Atmospheric Chemistry 3 Stratospheric Chemistry
and
O(³P) + O₂ + M→ 03 + M
ereader.perlego.com
(3.1)
(3.3)
2
with rate constants kand k, respectively and where M is N₂ or
0₂.
Tabs
ka [M]) (1 - exp(-kg[M]t))
(3.2)
(a) By equating the rate of reaction (3.1) to I and noting
abs
reaction (3.2), write down a kinetic equation for
d[O('D)]/dt.
(b) Using the result in (a) find an approximate expression for
[O(D)] by applying the steady-state hypothesis to O(D).
(c) By integration of the rate law in (a) show that
Q₁
ធ
< Previous chapter Next chapter >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20f2cc39-d56e-4df6-ae67-263da405c646%2F1d122eda-4882-404c-82a8-5ef973845fa8%2F8i1pa9_processed.png&w=3840&q=75)
Transcribed Image Text:P
O iil
Q
☎
8
E
99
{0}
13
of 19
P3.1: In the atmosphere, molecular oxygen is photochemically
decomposed as follows:
O2+ hv→ O(¹D) + O(³P)
O(¹D) + MO(³P) + M
[O(¹D)] =
The major loss processes for these atoms are:
Atmospheric Chemistry 3 Stratospheric Chemistry
and
O(³P) + O₂ + M→ 03 + M
ereader.perlego.com
(3.1)
(3.3)
2
with rate constants kand k, respectively and where M is N₂ or
0₂.
Tabs
ka [M]) (1 - exp(-kg[M]t))
(3.2)
(a) By equating the rate of reaction (3.1) to I and noting
abs
reaction (3.2), write down a kinetic equation for
d[O('D)]/dt.
(b) Using the result in (a) find an approximate expression for
[O(D)] by applying the steady-state hypothesis to O(D).
(c) By integration of the rate law in (a) show that
Q₁
ធ
< Previous chapter Next chapter >
![P
O iil
Q
මා
8
E
99
{0}
13
of 19
[O(¹D)] =
Atmospheric Chemistry 3 Stratospheric Chemistry
||||
ereader.perlego.com
(c) By integration of the rate law in (a) show that
Tabs
ka [M]
(1 exp(-ka [M]t))
assuming constant irradiation is applied after t = 0 and
that no O(¹D) exists prior to this time. Under what
conditions does this expression correspond to the
approximate result derived in (b)?
(d) In the atmosphere at an altitude of ca. 80 km, [M] ≈ 3 ×
-3
14
10 molecules cm and the composite k for N₂ and O₂ is
2
3
-1 -1
3 x 10 cm molecule S . Estimate the minimum
illumination time required for the non-steady-state and
steady-state concentrations to be identical to within 1%. Is
the steady-state hypothesis a good approximation for the
atmospheric behaviour of O(D) where the solar intensity
changes over periods of hours?
(e) Neglecting reaction (3.2), give steady-state and non-steady-
state expressions for [O(P)] in terms of I
Labs, k₁, [M], and
[0₂] assuming the latter concentrations are in excess.
(f) Under atmospheric conditions corresponding to part (d), k,
-33 6
-2 -1
≈ 1.4 x 10 cm molecule s. Is the steady-state
hypothesis a suitable approximation to apply to O(³P) in
-11
15
Q₁
ធ
< Previous chapter Next chapter >](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20f2cc39-d56e-4df6-ae67-263da405c646%2F1d122eda-4882-404c-82a8-5ef973845fa8%2Fwcc424_processed.png&w=3840&q=75)
Transcribed Image Text:P
O iil
Q
මා
8
E
99
{0}
13
of 19
[O(¹D)] =
Atmospheric Chemistry 3 Stratospheric Chemistry
||||
ereader.perlego.com
(c) By integration of the rate law in (a) show that
Tabs
ka [M]
(1 exp(-ka [M]t))
assuming constant irradiation is applied after t = 0 and
that no O(¹D) exists prior to this time. Under what
conditions does this expression correspond to the
approximate result derived in (b)?
(d) In the atmosphere at an altitude of ca. 80 km, [M] ≈ 3 ×
-3
14
10 molecules cm and the composite k for N₂ and O₂ is
2
3
-1 -1
3 x 10 cm molecule S . Estimate the minimum
illumination time required for the non-steady-state and
steady-state concentrations to be identical to within 1%. Is
the steady-state hypothesis a good approximation for the
atmospheric behaviour of O(D) where the solar intensity
changes over periods of hours?
(e) Neglecting reaction (3.2), give steady-state and non-steady-
state expressions for [O(P)] in terms of I
Labs, k₁, [M], and
[0₂] assuming the latter concentrations are in excess.
(f) Under atmospheric conditions corresponding to part (d), k,
-33 6
-2 -1
≈ 1.4 x 10 cm molecule s. Is the steady-state
hypothesis a suitable approximation to apply to O(³P) in
-11
15
Q₁
ធ
< Previous chapter Next chapter >
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 54 images
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.Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY