The catalytic destruction of ozone occurs via a two-step mechanism, where X can be any of several species:   (1) X + O3  →  XO + O2 [slow]   (2) XO + O  →  X + O2 [fast]

Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter11: Chemical Kinetics
Section: Chapter Questions
Problem 11.64PAE: 11.64 HBr is oxidized in the following reaction: 4 HBr(g) + O2(g) —• 2 H2O(g) + 2 Br,(g) A proposed...
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The catalytic destruction of ozone occurs via a two-step mechanism, where X can be any of several species:
 
(1) X + O3 

 XO + O2 [slow]
 
(2) XO + O 

 X + O2 [fast]
 
(a) Write the overall reaction.

  
XO + X + O3 + O 
 XO + X + 2 O2
  
O3 + XO 
 X + 2 O2
  
O3 + O 
 2 O2
  
X + O3 
 XO + O2


(b) Write the rate law for each step (using k for the rate constant).
 

Reaction 1:
 
Reaction 2:
 
  
k[XO][O2]
  
k[X][O3]
  
k[X][O2]
  
k[XO][O3]
 
  
k[XO][O]
  
k[X][O]
  
k[X][O2]
  
k[XO][O2]
 
 
(c) X acts as a and XO acts as a
 
  
catalyst
  
intermediate
 
  
intermediate
  
catalyst


(d) High-flying aircraft release NO into the stratosphere, which catalyzes this process. When O3 and NO concentrations are 

 
×
 1012

 molecule/cm3 and 

 
8.8 
×
 109

 molecule/cm3, respectively, what is the rate of O3 depletion? The rate constant k for the rate-determining step is 

×
 10−15 (cm3)2/molecule
·
s.

 Give your answer in scientific notation. Use one significant figure in your answer.
 

 

 

×

 10

 

 molecule/s

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