J.R. S. answered 02/25/23
Ph.D. University Professor with 10+ years Tutoring Experience
Use an ICE table
2SO3(g) <==> 2SO2(g) + O2(g)
0.920...............0................0..............Initial
-2x.................+2x..............+x............Change
0.920-2x.........2x.................x............Equilibrium
@Equilibrium, x = 0.190 mol (O2). Thus, we can now find the concentrations of all species @ equilibrium:
[SO3] = 0.920 - 2(0.190) = 0.920 - 0.380 = 0.54 mols / 4.50 L = 0.120 M
[SO2] = 2x = 2*0.190 = 0.380 mols / 4.50 L = 0.0844 M
[O2] = x = 0.190 mol / 4.50 L = 0.0422 M
Next, we simply plug these values into the Keq expression and solve:
Keq = [SO2]2[O2] / [SO3]2
Keq = (0.0844)2(0.0422) / (0.120)2
Keq = 0.0209