A reaction that contributes to the depletion of ozone in thestratosphere is the direct reaction of oxygen atoms withozone:O(g) + O3(g) ----->2 O2(g) At 298 K the rate constant for this reaction is 4.8 x105M-1 s-1. (a) Based on the units of the rate constant, writethe likely rate law for this reaction. (b) Would you expectthis reaction to occur via a single elementary process?Explain why or why not. (c) Use ΔHf° values  estimate the enthalpy change for this reaction.Would this reaction raise or lower the temperature of thestratosphere?

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A reaction that contributes to the depletion of ozone in the
stratosphere is the direct reaction of oxygen atoms with
ozone:
O(g) + O3(g) ----->2 O2(g)
At 298 K the rate constant for this reaction is 4.8 x105
M-1 s-1. (a) Based on the units of the rate constant, write
the likely rate law for this reaction. (b) Would you expect
this reaction to occur via a single elementary process?
Explain why or why not. (c) Use ΔHf° values  estimate the enthalpy change for this reaction.Would this reaction raise or lower the temperature of the
stratosphere?

Expert Solution
Step 1

The direct reaction of oxygen atoms with ozone is -

O (g) + O3 (g) 2O2 (g) 

Given : rate constant = 4.8 x 105 M-1 s-1

 

a) The unit of rate constant is M-1 s-1 which shows that order of reaction is second order. 

Hence, the rate law for this reaction is : 

rate = k [O][O3]

Step 2

b) A reaction that contributes to depletion of ozone layer mechanism is - 

Step 1 : O2 (g) 2O (g)

Step 2 : O2 (g) + O (g) O3 (g)

Step 3 : O3 (g) + O (g) 2O2 (g)    (slow )

The reaction occurs in different elementary steps. Step 3 is the slowest step which is rate determining step. 

Hence, the reaction would not occur via a single elementary process. 

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