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Multiple Choice
A solution containing calcium nitrate is mixed with one containing potassium sulfate to form a solution that is 0.0100 M inCa(NO3)2 and 0.00250 M in K2SO4. Which of the following accurately describes what occurs when the new solution forms?
A
Calcium sulfate precipitates.
B
Potassium nitrate precipitates.
C
Both calcium sulfate and potassium nitrate precipitate.
D
No precipitate forms.
Verified step by step guidance
1
Identify the possible products of the reaction between calcium nitrate \((\text{Ca(NO}_3\text{)}_2)\) and potassium sulfate \((\text{K}_2\text{SO}_4)\). The potential products are calcium sulfate \((\text{CaSO}_4)\) and potassium nitrate \((\text{KNO}_3)\).
Determine the solubility of the potential products. Calcium sulfate \((\text{CaSO}_4)\) is slightly soluble in water, while potassium nitrate \((\text{KNO}_3)\) is highly soluble.
Calculate the ion product \((Q)\) for calcium sulfate using the concentrations of calcium ions \((\text{Ca}^{2+})\) and sulfate ions \((\text{SO}_4^{2-})\) in the solution. Use the formula: \(Q = [\text{Ca}^{2+}][\text{SO}_4^{2-}]\).
Compare the ion product \((Q)\) to the solubility product constant \((K_{sp})\) of calcium sulfate. If \(Q > K_{sp}\), a precipitate will form. If \(Q \leq K_{sp}\), no precipitate will form.
Since potassium nitrate is highly soluble, it will not precipitate under normal conditions. Therefore, if \(Q \leq K_{sp}\) for calcium sulfate, no precipitate forms in the solution.