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Question

The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below:

O3(g)+Cl(g)O2(g)+ClO(g) ....(i) ki=5.2×109Lmol1s1
ClO(g)+O(g)O2(g)+Cl(g) ...(ii) kii=2.6×1010Lmol1s1

The closest rate constant for the overall reaction O3(g)+O(g)2O2(g) is:

A
1.4×1020Lmol1s1
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B
5.2×109Lmol1s1
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C
3.1×1010Lmol1s1
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D
2.6×1010Lmol1s1
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Solution

The correct option is B 1.4×1020Lmol1s1
O3(g)+Cl(g)O2(g)+ClO(g) ....(i) ki=5.2×109Lmol1s1

ClO(g)+O(g)O2(g)+Cl(g) ...(ii) kii=2.6×1010Lmol1s1

For overall reaction, equation (i)+(ii)

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

Then overall reaction constant will be ki×kii.

So, overall reaction constant is 1.4×1020Lmol1s1.

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