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A remarkable property of atmospheric chemical systems is that they do not lead to explosive behavior, except in contrived situations. To understand explosive behavior, consider

A remarkable property of atmospheric chemical systems is that they do not lead to explosive behavior, except in contrived situations. To understand explosive behavior, consider a simple system where x is oxidized catalytically by OH to produce Y, which photolyzes to produce OH(this is not too dissimilar to the oxidation of methane, producing formaldehyde which photolyzes). OH can also be scavenged by aerosols. We have three reactions:
x+OHY+OH
Y+hvOH+ products aerosol
OH products
where "products" are assumed inert. Assuming steady state for Y, show from the kinetic equations that this mechanism will either consume x explosively or will shut itself down, depending on the initial concentration of x.
Note:
Explosive =[OH] grows at accelerating rate so x is consumed at accelerating rate.
Dissipative =[OH] is consumed and loss of x stops.
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