Answer:
[tex]Kp=3.07x10^6[/tex]
Explanation:
Hello,
In this case, by knowing the given reference reactions, one could rearrange them as follows:
[tex]2 NO(g) \leftrightarrow N_2(g) + O_2(g); Kp_2 = \frac{1}{2.3 x 10^{-19}}=4.35x10^{18}[/tex]
[tex]N_2(g) + 2O_2(g) \leftrightarrow 2NO_2(g);Kp_3=(8.4x10^{-7})^2=7.056x10^{-13}[/tex]
Subsequently, to obtain the main reaction, we add the aforementioned reference rearranged reactions as shown below (just as reference):
[tex]2NO(g)+N_2(g)+2O_2\leftrightarrow 2NO_2(g)+N_2+O_2[/tex]
Consequently, the equilibrium constant is computed as:
[tex]Kp=\frac{[N_2][O_2]}{[NO]^2} * \frac{[NO_2]^2}{[N_2][O_2]^2} =Kp_2*Kp_3=4.35x10^{18}*7.056x10^{-13}=3.07x10^6[/tex]
Best regards.