Let’s work through that logic—because this exact calculation appears in every quality answer key. What follows is a model answer key for the most common POGIL on this topic. I’ve organized it into learning objectives, key questions, and the reasoning behind each correct answer. Learning Objective 1: Predicting the Order of Precipitation Question: A solution contains 0.010 M Cl⁻ and 0.010 M I⁻. Solid AgNO₃ is added dropwise. Using the (K_sp) values below, calculate the [Ag⁺] required to begin precipitation of each salt. Which precipitates first?
The salt with the smaller (K_sp) requires a lower concentration of the common ion to reach saturation. This is the cardinal rule of fractional precipitation. Learning Objective 2: Calculating Ion Concentration at the Second Precipitation Point Question: As you continue adding AgNO₃, AgI continues to precipitate. At the moment just before AgCl begins to precipitate, what is the concentration of I⁻ remaining in solution?
In the world of analytical and inorganic chemistry, few techniques are as elegant—or as exam-critical—as fractional precipitation . Whether you're a high school student tackling a POGIL (Process Oriented Guided Inquiry Learning) activity or a college freshman in general chemistry, understanding how to separate ions by carefully controlling ion concentration is a foundational skill. fractional precipitation pogil answer key best
[ [I^-] = \fracK_sp(\textAgI)[Ag^+] = \frac8.5 \times 10^-171.8 \times 10^-8 = 4.7 \times 10^-9 , M ]
Use the detailed explanations above to check your POGIL answers, but more importantly, practice the calculations repeatedly. Cover the answers, re-derive the [Ag⁺] thresholds, and test yourself on the “what if” scenarios. That’s the pathway from rote answers to genuine mastery. Learning Objective 1: Predicting the Order of Precipitation
No. The order of precipitation depends on both (K_sp) and initial concentrations. For two salts with the same stoichiometry (e.g., both 1:1), compare the required [Ag⁺] as we did above. If the (K_sp) values are very close, or if the smaller-(K_sp) salt has an extremely low initial concentration, the order could reverse. Always calculate the threshold concentration of the precipitating ion.
For PbCrO₄ (1:1 salt): [ [Pb^2+] = \frac2.8 \times 10^-130.050 = 5.6 \times 10^-12 M ] Which precipitates first
AgI requires a much lower [Ag⁺] ((8.5 \times 10^-15 M)) to precipitate than AgCl ((1.8 \times 10^-8 M)). Therefore, AgI precipitates first .