Respuesta :

Answer: The value of [tex]K_c[/tex] is 2

Explanation:

Moles of  [tex]N_2O_4[/tex] = 1.0 mole  

Volume of solution = 1.00 L

Initial concentration of [tex]N_2O_4[/tex] = [tex]\frac{1.0mol}{1.00L}=1.0M[/tex]

Equilibrium concentration of [tex]NO_2[/tex] = [tex]\frac{1.0mol}{1.00L}=1.0M[/tex]  

The given balanced equilibrium reaction is,

                            [tex]N_2O_4(g)\rightleftharpoons 2NO_2(g)[/tex]

Initial conc.          1.0 M            0 M

At eqm. conc.     (1.0-x) M      (2x) M

The expression for equilibrium constant for this reaction will be,

[tex]K_c=\frac{[NO_2]^2}{[N_2O_4]}[/tex]

Given : 2x = 1.0

x= 0.5

Now put all the given values in this expression, we get :

[tex]K_c=\frac{(1.0)^2}{(1.0-0.5)}[/tex]

[tex]K_c=2[/tex]

Thus the value of [tex]K_c[/tex] is 2

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