What is the approximate concentration of free Ag* ion at equilibrium when 1.85x102 mol silver nitrate is added to 1.00 L of solution that is 1.390 M in S2032. For [Ag(S203)2], Kf= 2.9x1013. [Ag'] = M

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Chapter1: Chemical Foundations
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**Problem Statement:**

What is the approximate concentration of free Ag⁺ ion at equilibrium when 1.85×10⁻² mol silver nitrate is added to 1.00 L of solution that is 1.390 M in S₂O₃²⁻? For [Ag(S₂O₃)₂]³⁻, K_f = 2.9×10¹³.

\[ \text{[Ag⁺]} = \boxed{\rule{2cm}{0.15mm}} \, \text{M} \]

**Explanation:**

This problem is about determining the concentration of free silver ions (Ag⁺) in a solution at equilibrium. The setup involves adding a certain amount of silver nitrate to a solution containing thiosulfate ions (S₂O₃²⁻). The equilibrium constant (K_f) for the formation of the complex [Ag(S₂O₃)₂]³⁻ is provided.

To solve this problem, you would typically use equilibrium calculations that involve:

1. Writing the balanced chemical equation for the formation of the complex.
2. Setting up the expression for the equilibrium constant, K_f.
3. Using initial concentrations and stoichiometry to find the equilibrium concentrations.

Here, the provided data includes:
- Initial moles of silver nitrate: 1.85×10⁻² mol
- Volume of the solution: 1.00 L
- Initial concentration of S₂O₃²⁻: 1.390 M
- Formation constant (K_f): 2.9×10¹³

Using these values, you can calculate the approximate concentration of free Ag⁺ at equilibrium.
Transcribed Image Text:**Problem Statement:** What is the approximate concentration of free Ag⁺ ion at equilibrium when 1.85×10⁻² mol silver nitrate is added to 1.00 L of solution that is 1.390 M in S₂O₃²⁻? For [Ag(S₂O₃)₂]³⁻, K_f = 2.9×10¹³. \[ \text{[Ag⁺]} = \boxed{\rule{2cm}{0.15mm}} \, \text{M} \] **Explanation:** This problem is about determining the concentration of free silver ions (Ag⁺) in a solution at equilibrium. The setup involves adding a certain amount of silver nitrate to a solution containing thiosulfate ions (S₂O₃²⁻). The equilibrium constant (K_f) for the formation of the complex [Ag(S₂O₃)₂]³⁻ is provided. To solve this problem, you would typically use equilibrium calculations that involve: 1. Writing the balanced chemical equation for the formation of the complex. 2. Setting up the expression for the equilibrium constant, K_f. 3. Using initial concentrations and stoichiometry to find the equilibrium concentrations. Here, the provided data includes: - Initial moles of silver nitrate: 1.85×10⁻² mol - Volume of the solution: 1.00 L - Initial concentration of S₂O₃²⁻: 1.390 M - Formation constant (K_f): 2.9×10¹³ Using these values, you can calculate the approximate concentration of free Ag⁺ at equilibrium.
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