Now selective precipitation represents a process of separating ions out of a solution by using reagents that form a precipitate or solid with the ions. Now a reagent is just another ion that binds to the dissolved ion and precipitates out of a solution. Now a successful precipitation of a selected ion depends on the solubility of its salt, and this is connected to its Ksp value.
Now here we're going to say when Q is greater than Ksp, a precipitation is successful. So let's say we have here hypothetical equation of an ionic solid. It breaks up into its ions A+ and B-. Now if Q is let's say this is from negative Infinity to positive Infinity. If Q is less than Ksp, Q will shift in the forward direction to get to Ksp. So our chemical reaction shifts in the forward direction. We'd be moving away from solid towards ions, making more of them, so no precipitate would form.
If Q is equal to Ksp, then we are at equilibrium and still no precipitate would form. It's not until we get to Q being greater than Ksp that a precipitate can form, because again Q will shift to Ksp, so it shifts in the reverse direction. So our chemical reaction shifts in the reverse direction towards a solid that shows us that a precipitate will form.
Now using this logic, when asked to separate precipitate an ion from a mixture of ions is based on differing Ksp values. So we'll look at the mixture of ions and we'll see what kind of solids can form and we'll see which one forms fastest based on our given Ksp values. So we're going to put to practice this conceptual idea of selective precipitation.