Answer : The correct option is, (a) 0.44
Explanation :
First we have to calculate the concentration of
.


Now we have to calculate the dissociated concentration of
.
The balanced equilibrium reaction is,

Initial conc. 1.0 M 0
At eqm. conc. (1.0-x) M (2x) M
As we are given,
The percent of dissociation of
=
= 28.0 %
So, the dissociate concentration of
= 
The value of x =
= 0.28 M
Now we have to calculate the concentration of
at equilibrium.
Concentration of
= 1.0 - x = 1.0 - 0.28 = 0.72 M
Concentration of
= 2x = 2 × 0.28 = 0.56 M
Now we have to calculate the equilibrium constant for the reaction.
The expression of equilibrium constant for the reaction will be:
![K_c=\frac{[NO_2]^2}{[N_2O_4]}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BNO_2%5D%5E2%7D%7B%5BN_2O_4%5D%7D)
Now put all the values in this expression, we get :

Therefore, the equilibrium constant
for the reaction is, 0.44