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What is the minimum concentration of equimolarsolution of ferrous sulphate and sodium sulphideso that when mixed in equal volumes, there isno precipitation of iron sulphide. For iron sulphideKsp = 3.6 × 10–17 : (A) Less than 1.3 × 10–10 M(B) More than 1.3 × 10–10 M(C) Equal to 6.3 × 10–18 M(D) Unpredicted?
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What is the minimum concentration of equimolarsolution of ferrous sulp...
To determine the minimum concentration of equimolar solutions of ferrous sulfate (FeSO₄) and sodium sulfide (Na₂S) so that iron sulfide (FeS) does not precipitate when mixed, we need to consider the solubility product constant (Ksp) of FeS.
Understanding Ksp
- The solubility product constant (Ksp) for FeS is given as 3.6 × 10⁻¹⁷.
- The dissolution of FeS can be represented as:
FeS (s) ⇌ Fe²⁺ (aq) + S²⁻ (aq)
- The Ksp expression is:
Ksp = [Fe²⁺][S²⁻] = 3.6 × 10⁻¹⁷
Calculating Ion Concentrations
- Let the concentration of Fe²⁺ and S²⁻ in the mixed solution be represented as C. When equal volumes are mixed, the concentration of each ion will be halved.
- Therefore, the concentrations of Fe²⁺ and S²⁻ in the mixed solution will be:
[Fe²⁺] = C/2 and [S²⁻] = C/2
- Substituting into the Ksp expression:
Ksp = (C/2)(C/2) = (C²/4)
Setting Up the Equation
- We set the equation equal to Ksp:
C²/4 = 3.6 × 10⁻¹⁷
C² = 14.4 × 10⁻¹⁷
C = √(14.4 × 10⁻¹⁷)
C ≈ 1.2 × 10⁻⁸ M
Conclusion
- The minimum concentration C required to prevent precipitation of FeS is approximately 1.2 × 10⁻⁸ M.
- Therefore, the answer is:
(A) Less than 1.3 × 10⁻¹⁰ M
This calculation indicates that for the solutions to remain clear, their concentrations must be meticulously controlled below this threshold to avoid any precipitation of iron sulfide.
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What is the minimum concentration of equimolarsolution of ferrous sulphate and sodium sulphideso that when mixed in equal volumes, there isno precipitation of iron sulphide. For iron sulphideKsp = 3.6 × 10–17 : (A) Less than 1.3 × 10–10 M(B) More than 1.3 × 10–10 M(C) Equal to 6.3 × 10–18 M(D) Unpredicted?
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What is the minimum concentration of equimolarsolution of ferrous sulphate and sodium sulphideso that when mixed in equal volumes, there isno precipitation of iron sulphide. For iron sulphideKsp = 3.6 × 10–17 : (A) Less than 1.3 × 10–10 M(B) More than 1.3 × 10–10 M(C) Equal to 6.3 × 10–18 M(D) Unpredicted? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about What is the minimum concentration of equimolarsolution of ferrous sulphate and sodium sulphideso that when mixed in equal volumes, there isno precipitation of iron sulphide. For iron sulphideKsp = 3.6 × 10–17 : (A) Less than 1.3 × 10–10 M(B) More than 1.3 × 10–10 M(C) Equal to 6.3 × 10–18 M(D) Unpredicted? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the minimum concentration of equimolarsolution of ferrous sulphate and sodium sulphideso that when mixed in equal volumes, there isno precipitation of iron sulphide. For iron sulphideKsp = 3.6 × 10–17 : (A) Less than 1.3 × 10–10 M(B) More than 1.3 × 10–10 M(C) Equal to 6.3 × 10–18 M(D) Unpredicted?.
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