Hi Chocolatepistachio,
I suggest using a variable to represent the unknown concentrations. As the experiment is investigating the decomposition of NOCl
(g) and the initial amount of NOCl
(g) is given, the initial:
 = 1.00 mol)
 = 0 mol)
 = 0 mol)
As it is unknown how much NOCl
(g) is reacted to form NO
(g) and Cl
2(g), we can use a variable to represent the change in mole. This change will be proportional to the NOCl:NO:Cl
2 ratio of 2:2:1.
 = -2x)
 = +2x)
 = +x)
meaning that since the volume of the flask is 2.00L, equilibrium moles will be
=\frac{1.00 mol-2x}{2.00L})
 = \frac{2x}{2.00L})
 = \frac{x}{2.00L})
Now the equilibrium constant. Following

and the given equilibrium constant (at 35
oC, presumably the temperature of this experimental setup)
we can construct the equation
}{(0.5-x)^2})
from which we can get
^2}=1.60\times10^{-5})
^2}=2.20\times10^{-5})
Applying polynomials, you would eventually come to

which can be substituted back into the original equilibrium mole values to get our final answers of:
=\frac{1.00 mol-2x}{2.00L}=0.48625M=4.9\times10^{-1}M)
 = \frac{2x}{2.00L}=0.01375M=1.4\times10^{-2}M)
 = \frac{x}{2.00L}=0.006875M=6.9\times10^{-3}M)
at equilibrium.
Hope this helps, please let me know if there are any errors
