Question $5$

A solution contains $45m\frac{g}{L}B{a}^{2+}.$ A consultant has suggested that the $B{a}^{2+}$ could be removed from solution by converting it to solid barium sulfate $BaS{O}_4((s)).$ To accomplish this, it is proposed to add enough $N{a}_{2}S{O}_4$ to the solution to convert all the $B{a}^{2+}$ to $BaS{O}_4(s),$ plus an extra $5m\frac{g}{L}S{O}_4^{2-}$ as a safety factor. What dose $(m\frac{g}{L})$ of $N{a}_{2}S{O}_4$ should be added, and what would the concentration of solids be$,$ in ppm$,$ if essentially all the $B{a}^{2+}$ precipitated?