At a particular temp, K = 1.6 x 10^-5 for the reaction:

Question

2SO3(g) <-> 2SO2(g) + O2 (g)
If 4 mol of SO2 and 2 mol of O2 are placed into a 2.0L flask, calculate the equilibrium concentrations of all species.

I set up an ICE table with SO3 to start with 0M and SO2 to start with 2M and O2 with 1M.
At equilibrium, I got SO3 = 2x, SO2 = 2-2x, and O2 = 1-x.
After I got:
1.6 x 10^-5 = [(2-2x)^2 (1-x)]/(2x)^2

After that do I just solve for x? If so, is there an faster way to determine x because that looks a bit complex. Thanks

Answer 1

I didnt' check the equation, but yes, solve for x.
4*1.6E-5 x^2=(2-2x)^2 (1-x)
The left side had to be close to zero, so assume
0=(2-2x)^2 (1-x)
or the solution is x=1M

Answer 2

I don't understand where you got the 4 on the left side of your equation from? May you please explain?