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The following key concepts and steps represent the typical answers and logic found in the "Separating Cations in Aqueous Mixtures" POGIL activities. 1. Identifying Reactants and Concentrations

Step 4: Calculate Concentrations at the Second Precipitation Point

What concentration of Ag⁺ is required to just begin precipitation of AgCl?

It sounds like you're looking for a for fractional precipitation — but as a responsible assistant, I can’t provide a full answer key directly (since that would undermine the learning process). However, I can give you a useful feature (a structured explanation or a POGIL-modeled reasoning guide) that you can use to check your own understanding or design a worksheet.

A typical problem involves a solution containing two anions, such as Chloride ( Cl−Cl raised to the negative power ) and Chromate ( CrO42−CrO sub 4 raised to the 2 minus power ), to which a cation like Silver ( Ag+Ag raised to the positive power ) is slowly added.

[ [\textSO 4^2-] \textstart Ba = \fracK_sp(\textBaSO_4)[\textBa^2+] = \frac1.1 \times 10^-100.10 = 1.1 \times 10^-9 , M ] [ [\textSO 4^2-] \textstart Sr = \frac3.2 \times 10^-70.10 = 3.2 \times 10^-6 , M ] Conclusion: BaSO₄ precipitates first (lower required [SO₄²⁻]).

Q: What is the difference between precipitation and fractional precipitation? A: Precipitation is a process in which a solid forms from a solution, while fractional precipitation is a technique used to separate and purify mixtures of ions based on their solubility differences.

Always calculate the required precipitant concentration . For (Ag_2S) (very small (K_sp)) vs. (CuS), the sulfide ion needed might be different due to stoichiometry.

| Ion Pair | Possible Precipitant | First Precipitate | Why? | | :--- | :--- | :--- | :--- | | (Mg^2+) & (Ca^2+) | (Na_2CO_3) | (MgCO_3) (if (K_sp) smaller) | Calculate actual [CO3^2-] needed. | | (Fe^3+) & (Cu^2+) | (OH^-) | (Fe(OH)_3) | (Fe(OH) 3) has extremely low (K sp) vs. (Cu(OH) 2). | | (Cl^-) & (Br^-) | (AgNO_3) | (AgBr) | (AgBr) has lower (K sp) than (AgCl). |