Jack R. answered 07/13/20
Starting Concentration SO3 : 0.760 mol/4.50 L = 0.169M
2SO3 -> 2SO2 O2
I 0.169 0 0
C -2x +2x +x
E 0.169-2x 2x x
Now: you have 0.160 mol O2, you must find molarity at equilibrium. .160mol/4.50 L = 0.0356M
Now, at equilibrium, the concentration of O2 = "x", so you can set up Kc as follows:
( [SO2]^2 x [O2] ) / ([SO3]^2) = ( [0.0711]^2 x [0.0356] ) / ([0.0979]^2)
Which gives you the answer, 0.0188.