Answer:
[tex][NO_2]=0.12M[/tex]
Explanation:
Hello,
In this case, for the undergoing chemical reaction at equilibrium, the law of mass action for the equilibrium statement turns out:
[tex]Kc=\frac{[NO_2]^2}{[N_2O_4]}[/tex]
Next, by introducing the reaction extent [tex]x[/tex] (ICE methodology) we can write:
[tex]Kc=\frac{(2x)^2}{[N_2O_4]_0-x}[/tex]
Whereas the equilibrium constant is 0.36 and the initial concentration of dinitrogen tetroxide is 0.100 M:
[tex]0.36=\frac{(2x)^2}{0.100M-x}[/tex]
Therefore, solving such quadratic equation we obtain two values of [tex]x[/tex]:
[tex]x_1=-0.15M\\x_2=0.06M[/tex]
Clearly, the solution is 0.06M since the reaction extent must not be negative, thereby, the equilibrium concentration nitrogen dioxide turns out:
[tex][NO_2]=2*0.06M[/tex]
[tex][NO_2]=0.12M[/tex]
Best regards.
