Calcium sulfate is least soluble in option D, which is 1.0 M [tex]Li_2SO_4[/tex]. Solubility of a compound is determined by the interactions between the solvent molecules and the solute ions.
In this case, the solubility of calcium sulfate is affected by the interactions with the ions in the solution. Calcium sulfate has low solubility due to its strong ionic lattice structure that makes it difficult for the compound to dissolve in water.
When calcium sulfate is added to a solution of [tex]Li_2SO_4[/tex], the sulfate ions in the solution tend to form strong bonds with the calcium ions in the calcium sulfate, reducing the solubility of calcium sulfate. In contrast, the other options (A, B, and C) all contain ions that have weaker interactions with calcium ions, which allow for greater solubility of calcium sulfate in those solutions.
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