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Answer:
[tex][NO]=\frac{k_{-1}}{k_1} [N_2O_2][/tex]
Explanation:
Hello!
In this case, since the reaction may be assumed in chemical equilibrium, we can write up the rate law as shown below:
[tex]r=-k_1[NO]+k_{-1}[N_2O_2][/tex]
However, since the rate of reaction at equilibrium is zero, due to the fact that the concentrations remains the same, we can write:
[tex]0=-k_1[NO]+k_{-1}[N_2O_2][/tex]
Which can be also written as:
[tex]k_1[NO]=k_{-1}[N_2O_2][/tex]
Then, we solve for the concentration of NO to obtain:
[tex][NO]=\frac{k_{-1}}{k_1} [N_2O_2][/tex]
Best regards!