Answer:
[tex]K=3.9*10^{-82}[/tex]
Explanation:
Reactions:
[tex]NO_2 (g) \longleftrightarrow NO (g) +O (g)[/tex]
With: [tex]K_1=\frac{[NO][O]}{[NO_2]}=6.8*10^{-49}[/tex]
[tex]O_3 (g) + NO (g) \longleftrightarrow NO_2 (g) + O_2 (g)[/tex]
With: [tex]K_2=\frac{[NO_2}{[O_3][NO]}=5.8*10^{-34}[/tex]
To achive the reaction we combine those two reactions:
[tex]NO_2 (g) + O_3 (g) + NO (g) \longleftrightarrow NO (g) + O (g) + NO_2 (g)[/tex]
[tex]O_3 (g) \longleftrightarrow O (g) + O_2 (g)[/tex]
The equilibrium constant:
[tex]K= K_1*K_2=(6.8*10^{-49})*(5.8*10^{-34})=3.9*10^{-82}[/tex]