J.R. S. answered 12/03/21
Ph.D. University Professor with 10+ years Tutoring Experience
Let us first convert mass of gas to moles and then to concentration;
3.5 g SO3 x 1 mol / 80 g = 0.04375 mols SO3 / 27.5 L = 0.00159 M
4.6 g SO2 x 1 mol / 64 g = 0.07188 mols SO2 = 0.00261 M
19.5 g N2 x 1 mol / 28 g = 0.6964 mols N2 = 0.0253
0.98 g N2O x 1 mol / 44 g = 0.0218 mols N2O = 0.000793 M
SO2 + N2O <==> SO3 + N2
Keq = [SO3][N2] / [SO2][N2O]
Keq = (0.00159)(0.0253) / (0.00261)(0.000793)
Keq = 19.4
(be sure to check my math)