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 & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter14: Chemical Kinetics: The Rates Of Chemical Reactions
Section: Chapter Questions
Problem 89IL: The oxidation of iodide ion by the hypochlorite ion in the presence of hydroxide ions I(aq) +...
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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
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Q
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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
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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
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![P
O iil
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[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
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Transcribed Image Text:P
O iil
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[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
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