Common Ion effect question

[SonhosDaVida]

Why is Ag2S less soluble in 0.01 M AgNO3 than 0.01 M K2S?

K2S has a sulfide ion, which if Ag2S, dissociates, will also have a sulfide ion.

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[SweetBurger]

Here, (Ag2S) twice as many ions of Ag are produced compared to S ions meaning Ag2S will be even less soluble in a solution composed of AgNO3 (as Ag ions are already present and due to the 2:1 addition of Ag) than K2S which has S ions (Ag2S only adding a 1 mole equivalent of S ions). Trying to just explain this simply idk if that helps. If not I could try to re-evaluate or someone else might be able to add to this.