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Question

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compare the solubility of silver sulfite in each of the following aqueous solutions:
0.10 m agno₃
0.10 m na₂so₃
0.10 m kch₃coo
0.10 m nh₄no₃
more soluble than in pure water.
similar solubility as in pure water.
less soluble than in pure water.
clear all

Explanation:

Step1: Analyze 0.10 M AgNO₃

Silver sulfite (\(Ag_2SO_3\)) dissociates as \(Ag_2SO_3(s)
ightleftharpoons 2Ag^+(aq) + SO_3^{2-}(aq)\). In 0.10 M \(AgNO_3\), \(Ag^+\) is a common ion. Common ion effect suppresses dissociation, so solubility of \(Ag_2SO_3\) is less than in pure water.

Step2: Analyze 0.10 M Na₂SO₃

\(Na_2SO_3\) dissociates to give \(SO_3^{2-}\), a common ion with \(Ag_2SO_3\)'s dissociation. Common ion effect reduces solubility, so \(Ag_2SO_3\) is less soluble than in pure water.

Step3: Analyze 0.10 M KCH₃COO

\(KCH_3COO\) dissociates to \(K^+\) and \(CH_3COO^-\). No common ion with \(Ag_2SO_3\) (ions \(Ag^+\) and \(SO_3^{2-}\)). So solubility is similar to pure water (since no common ion to affect equilibrium).

Step4: Analyze 0.10 M NH₄NO₃

\(NH_4NO_3\) dissociates to \(NH_4^+\) and \(NO_3^-\). No common ion with \(Ag_2SO_3\). Also, \(NH_4^+\) hydrolysis might slightly affect pH, but \(Ag_2SO_3\) solubility is mainly affected by common ions. Since no common ion, solubility is similar to pure water? Wait, no—wait, actually, \(NH_4^+\) is acidic, \(SO_3^{2-}\) is basic. \(NH_4^+\) (acidic) and \(SO_3^{2-}\) (basic) might react: \(NH_4^+ + SO_3^{2-}
ightleftharpoons NH_3 + HSO_3^-\). This would remove \(SO_3^{2-}\) from solution, shifting \(Ag_2SO_3\) dissociation to the right, increasing solubility. Wait, maybe I made a mistake earlier. Let's re-examine:

For \(Ag_2SO_3\) solubility:

  • \(AgNO_3\): common \(Ag^+\) → less soluble.
  • \(Na_2SO_3\): common \(SO_3^{2-}\) → less soluble.
  • \(KCH_3COO\): \(CH_3COO^-\) is basic, but \(Ag_2SO_3\) has \(SO_3^{2-}\) (basic) and \(Ag^+\). No common ion, and \(CH_3COO^-\) doesn't react with \(Ag^+\) or \(SO_3^{2-}\) significantly. So solubility similar to pure water.
  • \(NH_4NO_3\): \(NH_4^+\) is acidic, reacts with \(SO_3^{2-}\) (basic) to form \(HSO_3^-\) or \(NH_3\), reducing \(SO_3^{2-}\) concentration. So equilibrium \(Ag_2SO_3

ightleftharpoons 2Ag^+ + SO_3^{2-}\) shifts right, increasing solubility. So \(Ag_2SO_3\) is more soluble than in pure water here.

Wait, maybe my initial step3 was wrong. Let's correct:

  • 0.10 M AgNO₃: Less soluble (common \(Ag^+\))
  • 0.10 M Na₂SO₃: Less soluble (common \(SO_3^{2-}\))
  • 0.10 M KCH₃COO: Similar (no common ion, no significant reaction)
  • 0.10 M NH₄NO₃: More soluble (since \(NH_4^+\) reacts with \(SO_3^{2-}\), removing it, increasing \(Ag_2SO_3\) dissociation)

So matches:

  • 0.10 M AgNO₃ → Less soluble than pure water
  • 0.10 M Na₂SO₃ → Less soluble than pure water
  • 0.10 M KCH₃COO → Similar solubility as pure water
  • 0.10 M NH₄NO₃ → More soluble than pure water

Answer:

  • 0.10 M AgNO₃: Less soluble than pure water
  • 0.10 M Na₂SO₃: Less soluble than pure water
  • 0.10 M KCH₃COO: Similar solubility as pure water
  • 0.10 M NH₄NO₃: More soluble than pure water