High-flying aircraft release NO into the stratosphere, which catalyzes this proc

Question

High-flying aircraft release NO into the stratosphere, which catalyzes this process. When O3 and NO concentrations are 4x10^12 molecule/cm^3 and 9.3x10^9 molecule/cm^3, respectively, what is the rate of O3 depletion? The rate constant k for the rate-determining step is 6x10^-15 (cm^3)^2/molecule(s).

Explanation / Answer

slow NO + O3 -> NO2 + O2 fast NO2 + O -> NO + O2 O3 + O -> 2O2 rate = k [NO] [O3] k = 6 x 10-15 [NO] = 9.3x 109 molecule/cm3 [O3] = 4 x 1012 molecule/cm3 = 6 x 10-15 x [9.3 x 109] x [4 x 1012] molecules/sec = 2.23x 108 O3 molecules/sec

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