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enter image description here

How do I solve this question?

My thinking is this: since O2 is not a reactant in any step, and since the reaction rate depends only on the reactants, increasing the concentration of O2 does not affect the rate of the reaction.

Is my thinking correct?

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    $\begingroup$ Hint: What defines a reactant ? $\endgroup$ – Poutnik Mar 27 at 8:32
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    $\begingroup$ Hint No 2: What do the bidirectional arrows mean ? $\endgroup$ – Poutnik Mar 27 at 8:38
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    $\begingroup$ Hint No 3 (last): Enumerate equations of reaction rates, determine conditions for steady state of one of the intermittent species and express decomposition rate as function of O2 concentration. Be aware the site is not a free online service for solving homework or alike tasks. $\endgroup$ – Poutnik Mar 27 at 8:47
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    $\begingroup$ steady state for [X] means d[X]/dt=0, rate of production X equals the rate of its consumption. $\endgroup$ – Poutnik Mar 27 at 8:59
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    $\begingroup$ Let us continue this discussion in chat. $\endgroup$ – Poutnik Mar 27 at 8:59
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Question is solved. Poutnik taught me to do it using steady state approximation :) enter image description here

Just adding the image for somebody who might find this in future.

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