Please show the work that led you to the answer. In the lower troposphere, ozone

Question

Please show the work that led you to the answer.

In the lower troposphere, ozone is one of the components of photochemical smog. It is generated in air when nitrogen dioxide, formed by the oxidation of nitrogen monoxide from car exhaust, reacts by the following mechanism: (1) NO_2(g) rightarrow NO(g) + O(g) (2) O(g) + O_2 rightarrow O_3(g) where k_1 = 6.0 Times 10^-3 s^-1; k_2 = 1.0 Times 10^6 L/mol.s; [NO_2] = 3.0 Times 10^-9 M; and [O_2] = 2.0 Times 10^-2 M. Assuming the rate of formation of atomic oxygen in step 1 equals the rate of its consumption in step 2. calculate the concentration of atomic oxygen [O]. Enter your answer in scientific notation.

Explanation / Answer

Rate of formation of Atomic oxygen in step 1= k1[NO2]

Rate of decompostion of O in step 2= K2[O] [O2]

K1[NO2]= K2[O2] [O]

[O] = K1[NO2]/ K2[O2]

[O] =6*10-3*3*10-9/ (1*106*2*10-2)=9*10-6 M

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