Answer:
[tex]C_{O_2}=\frac{k_2C_{NO_2}C_{O}}{k_1C_{NO}}[/tex]
Explanation:
Hello,
In this case, for the given elementary reaction, the rate law takes the form:
[tex]r=-k_1C_{NO}C_{O_2}+k_2C_{NO_2}C_{O}[/tex]
Nevertheless, at equilibrium, the rate becomes zero:
[tex]0=-k_1C_{NO}C_{O_2}+k_2C_{NO_2}C_{O}[/tex]
Thus, we can solve for the concentration of O₂ in terms of the rate constants as shown below:
[tex]k_1C_{NO}C_{O_2}=k_2C_{NO_2}C_{O}\\\\C_{O_2}=\frac{k_2C_{NO_2}C_{O}}{k_1C_{NO}}[/tex]
Best regards.