For this reaction,
Kc = ( [SO2]2 x [O2] ) / [SO3]2
No. of moles of O2 = 0.170 moles
Volume of container = 3.50 L
Concentration of O2 = no . of moles / volume in L = 0.170 / 3.50 = 0.0486 mols/L
As per the chemical equation,
2 moles of SO3 gives 1 mole of O2 .
No. of moles of SO3 = 0.170 x 2 = 0.340 moles
Concentration of SO3 = no . of moles / volume in L = 0.340 / 3.50 = 0.0971 mols/L
Since 2 moles of SO3 gives 2 moles of SO2 ,
Concentration of SO2 = Concentration of SO3 = 0.0971 mols/L
Substituting in equation,
Kc = ( [SO2]2 x [O2] ) / [SO3]2 = (0.0971 mols/L)2 x (0.0486 mols/L)2 / (0.0971 mols/L)2
= 0.04862 mol2 L2 = 0.002361 mol2 L2 = 2.36 x 10-3 mol2 L2
Best Wishes.
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