Question Related to Solubility and Common Ion Effect

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The discussion centers on calculating the molar solubility of AgCl in a 0.1M HCl solution, using the solubility product constant (Ksp) of AgCl, which is 1.8 x 10^-10. The calculation leads to a molar solubility of 1.8 x 10^-9. There is confusion regarding the interpretation of these values, particularly the terms "more positive" and "less negative." It is clarified that these terms are misleading, as all values discussed are positive. The presence of Cl- from HCl is noted to affect the solubility of AgCl, suggesting that it would dissolve less in the presence of a common ion. The conversation highlights the importance of understanding solubility concepts and the impact of common ions on solubility equilibria.
chembloke
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So the question asks - What is molar solubility of AgCl in 0.1M HCl?

Ksp = [Ag+][Cl-] ----> Ksp = 1.8x10-10

After setting up the problem we get...

Ksp = (x)(0.1 + x)
1.8x10-10 = (x)(0.1)
1.8x10-9 = (x)

So the resulting answer is a Molar Solubility of 1.8x10-9, which to me is less negative than the Ksp, right? So with that being said, because it is less negative, and more positive than the Ksp, does this mean that AgCl will be more easily dissolved in HCl. Because a common ion is present, I would AgCl dissolves less because Cl is already in solution.

Anyway, I am a bit confused, maybe I just have things backwards. Please help, thank you very much.
 
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If you use [Ag] as the molar solubility of AgCl, then the solubility of plain 'ol AgCl in distilled water is ... what? Is it 1.8X10-10?

Hint: x2 = 1.8X10-10
 
chembloke said:
Molar Solubility of 1.8x10-9, which to me is less negative than the Ksp, right? So with that being said, because it is less negative, and more positive than the Ksp

I have no idea what you mean by calling all these numbers "more positive" and "more negative". Apparently you mean something, but the wording you used makes no sense. All these numbers are positive. They are larger and smaller, but not "more positive" nor "more negative".
 
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