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Question 16.10: Exactly 200 mL of 0.0040 M BaCl2 are mixed with exactly 600 ...

Exactly 200 mL of 0.0040 M  BaCl_{2}  are mixed with exactly 600 mL of 0.0080 M K_{2}SO_{4}. Will a precipitate form?

Strategy Under what condition will an ionic compound precipitate from solution? The ions in solution are Ba^{2+},  Cl^{-},  K^{+} , and SO^{2-}_{4}  . According to the solubility rules listed in Table 4.2, the only precipitate that can form is BaSO_{4}. From the information given, we can calculate [Ba^{2+}]  and [SO^{2-}_{4}]  because we know the number of moles of the ions in the original solutions and the volume of the combined solution. Next, we calculate the ion product Q (Q=[Ba^{2+}]_{0}[SO^{2-}_{4}]_{0})  and compare the value of Q with  K_{sp}  of  BaSO_{4} to see if a precipitate will form—that is, if the solution is supersaturated.

Table 4.2 Solubility Rules for Common Ionic Compounds in Water at 25°C

Soluble Compounds Insoluble Exceptions
Compounds containing alkali metal
ions (Li^{+}  ,Na^{+}  ,Rb^{+} ,Cs^{+}) and
the ammonium ion (NH^{+}_{4})
Nitrates (NO^{+}_{3}), acetates (CH_{3}COO^{-}),
bicarbonates (HCO^{-}_{3}) , chlorates
(ClO^{-}_{3}), and perchlorates (ClO^{-}_{4})
Halides (Cl^{-}  ,Br^{-}  ,I^{-}) Halides of Ag^{+}  ,Hg^{2+}_{2}   and   Pb^{2+}
Sulfates (SO^{2-}_{4}) Sulfates of Ag^{+}  ,Ca^{2+}  ,Sr^{2+}  Ba^{2+}  ,Hg^{2+}_{2}   and   Pb^{2+}
Insoluble Compounds Soluble Exceptions
Carbonates (CO^{2-}_{3}) , phosphates
(PO^{3-}_{4}) , chromates (CrO^{2-}_{4}),
Compounds containing alkali metal ions
and the ammonium ion
sulfides (S^{2-})
Hydroxides (OH^{-}) Compounds containing alkali metal ions
and the Ba^{2+} ion
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