Answer : The concentration of
remains at equilibrium will be, 0.37 M
Explanation : Given,
Equilibrium constant = 4.90
Initial concentration of
= 2.00 M
The balanced equilibrium reaction is,

Initial conc. 2 M 0 0
At eqm. (2-2x) M x M x M
The expression of equilibrium constant for the reaction will be:
![K_c=\frac{[CO_2][CF_4]}{[COF_2]^2}](https://tex.z-dn.net/?f=K_c%3D%5Cfrac%7B%5BCO_2%5D%5BCF_4%5D%7D%7B%5BCOF_2%5D%5E2%7D)
Now put all the values in this expression, we get :

By solving the term 'x' by quadratic equation, we get two value of 'x'.

Now put the values of 'x' in concentration of
remains at equilibrium.
Concentration of
remains at equilibrium = ![(2-2x)M=[2-2(1.219)]M=-0.582M](https://tex.z-dn.net/?f=%282-2x%29M%3D%5B2-2%281.219%29%5DM%3D-0.582M)
Concentration of
remains at equilibrium = ![(2-2x)M=[2-2(0.815)]M=0.37M](https://tex.z-dn.net/?f=%282-2x%29M%3D%5B2-2%280.815%29%5DM%3D0.37M)
From this we conclude that, the amount of substance can not be negative at equilibrium. So, the value of 'x' which is equal to 1.291 M is not considered.
Therefore, the concentration of
remains at equilibrium will be, 0.37 M