To calculate the standard entropy change S for the reaction, we can use the following equation:S = nSf products - nSf reactants where n is the stoichiometric coefficient of each species in the balanced chemical equation.For the given reaction:2SO3 g + O2 g 2SO4 g We can plug in the given standard entropies of formation Sf for each species:S = [2 Sf SO4 - 2 Sf SO3 + Sf O2 ]Now, substitute the given values:S = [2 296.8 J/K mol - 2 256.2 J/K mol + 205.0 J/K mol ]S = [593.6 J/K mol - 512.4 J/K mol + 205.0 J/K mol ]S = 593.6 J/K mol - 717.4 J/K molS = -123.8 J/K molThe standard entropy change for the reaction is -123.8 J/K mol.