A 0.649-g sample containing only ${\mathbf{K}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}\mathbf{(}\mathbf{FM}\mathbf{174}\mathbf{.}\mathbf{27}\mathbf{)}$and $\mathbf{\left(}{\mathbf{NH}}_{\mathbf{4}}{\mathbf{)}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}\mathbf{\right(}\mathbf{FM}\mathbf{132}\mathbf{.}\mathbf{14}\mathbf{)}$was dissolved in water and treated with$\mathbf{Ba}\mathbf{(}{\mathbf{NO}}_{\mathbf{3}}{\mathbf{)}}_{\mathbf{2}}$to precipitate all${\mathbf{SO}}_{\mathbf{4}}^{\mathbf{-}\mathbf{2}}{\mathbf{asBaSO}}_{\mathbf{4}}\mathbf{(}\mathbf{FM}\mathbf{233}\mathbf{.}\mathbf{39}\mathbf{)}$. Find the weight percent of${\mathbf{K}}_{\mathbf{2}}{\mathbf{SO}}_{\mathbf{4}}$in the sample if 0.977 g of precipitate was formed.

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