1a) Ea is 14.0 kJ/mol, for the uncatalyzed reaction: O3(g) + NO(g)-->  NO2(g) + O2(g) Slow NO2(g) + O(g)-->  NO(g) + O2(g) Fast   (uncatalyzed reaction) Overall reaction: O3(g) + O(g)-->  2O2(g) Ea for the same reaction, when catalyzed as above, is 11.9 kJ/mol. At -37°C, what is the ratio of the rate constant for the catalyzed reaction to that for the uncatalyzed reaction? (Assume the frequency factor A is the same for each reaction.)  1b) One of the concerns about the use of freons is that they will migrate to the upper atmosphere, where chlorine atoms can be generated by the reaction CCl2F2 --> CF2Cl + Cl (photolysis of Freon-12) Chlorine atoms can also act as a catalyst for the destruction of ozone. The activation energy for the reaction Cl + O3 --> ClO + O2 is 2.1 kJ/mol. Cl is regenerated by the fast reaction ClO + O --> O2 + Cl If the frequency factors are the same and both catalysts are in equal concentration, how many times faster, at -39°C, does the Cl catalysed reaction proceed compared to the reaction catalysed as described in the previous question.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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1a) Ea is 14.0 kJ/mol, for the uncatalyzed reaction:

O3(g) + NO(g)-->  NO2(g) + O2(g) Slow
NO2(g) + O(g)-->  NO(g) + O2(g) Fast
 
(uncatalyzed reaction) Overall reaction: O3(g) + O(g)-->  2O2(g)

Ea for the same reaction, when catalyzed as above, is 11.9 kJ/mol.
At -37°C, what is the ratio of the rate constant for the catalyzed reaction to that for the uncatalyzed reaction?
(Assume the frequency factor A is the same for each reaction.) 


1b) One of the concerns about the use of freons is that they will migrate to the upper atmosphere, where chlorine atoms can be generated by the reaction

CCl2F2 --> CF2Cl + Cl (photolysis of Freon-12)

Chlorine atoms can also act as a catalyst for the destruction of ozone.
The activation energy for the reaction

Cl + O3 --> ClO + O2

is 2.1 kJ/mol.

Cl is regenerated by the fast reaction

ClO + O --> O2 + Cl

If the frequency factors are the same and both catalysts are in equal concentration, how many times faster, at -39°C, does the Cl catalysed reaction proceed compared to the reaction catalysed as described in the previous question.

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