I dont understand how solubility product (Ksp) work?

[aznking1]

Suppose the Ksp value of AgCl is 2 x 10^-10.

Lets say we have a saturated solution of AgCl, i.e concentration of Ag+ ions = concentration of Cl+ions = (2 x 10^-10)^0.5=1.41 x 10^-5

Ok so what i know is that if we add more Ag+ ions in the solution, precipitation of AgCl would occur since ionic product is greater than Ksp.

So let's say we add Ag+ ions such that the concentration of Ag+ ions is now 2x10^-4 moldm^-3.

Here is the part i don't understand.

The remaining chloride concentration would be 2x10^-10 divided by 2x10^-4 mol = 1x10^-6 moldm^-3. My question is where did the chloride ions go? i know it has precipitated but it doesn't make sense since the concentration of Ag+ ions did not decrease?

 

[chemisttree]

Why would the concentration of Ag⁺ need to decrease? You have shown the Cl^- concentration decreases from 1.41X10^-5 to 1X10^-6 so to maintain the Ksp product, Ag⁺¹ must be higher.