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Decomposition Of Ozone By Chain Reaction

Decomposition Of Ozone By Chain Reaction

Decomposition Of Ozone By Chain Reaction
Decomposition Of Ozone By Chain Reaction

Here we will go through the kinetics of chain reaction of ozone. Below we can see a general equation of decomposition of ozone along with the chain reactions that occurs. We can see that unlike reaction between hydrogen and bromine the decomposition of ozone occurs in three major steps only; initiation , propagation and termination.

Decomposition Of Ozone By Chain Reaction
Net rate of reaction of ozone [O3will be = -R1 + R2 - R3         OR 

Decomposition Of Ozone By Chain Reaction eq.22.1

For oxygen [O], the net rate will be equal to the difference of of the rate of formation and rate of decomposition of oxygen.

Decomposition Of Ozone By Chain ReactionR1 - R2 - R3

Decomposition Of Ozone By Chain Reaction  k1 [O3] – k2[O2][O] - k3 [O3][O]

As,  0 so,                                    k1 [O3] = k2[O2][O] + k3 [O3][O]

Taking [O] common                                k1 [O3] = (k2[O2] + k3 [O3]) [O]

    [O] =   Decomposition Of Ozone By Chain Reaction          eq.22.2

Now putting the value of [O] in eq.22.1 we got

Decomposition Of Ozone By Chain Reaction

Taking LCM of first two values,

Decomposition Of Ozone By Chain Reaction
Decomposition Of Ozone By Chain Reaction

Decomposition Of Ozone By Chain Reaction eq.22.3

The step 3 is slow as compared to step so,

    k2 [O2] + k3 [O3]  ≈ k2 [O2]

Hence,                                                    Decomposition Of Ozone By Chain Reactioneq.22.4

Eq.22.4 is the rate equation for the decomposition of ozone by chain reaction.

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