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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper I covers inorganic chemistry.

UPSC Combined Geo-Scientist, Mains · 2025 · Mains Paper I

Q1(e). Solubility product of silver chromate

Question

Calculate the solubility product of silver chromate at a particular temperature, at which its solubility is 2.5 × 10⁻² gram litre⁻¹. [Given: The relative molecular mass of silver chromate is 331.728]

Answer in brief

Ksp (Ag₂CrO₄) = 1.71 × 10⁻¹² mol³ L⁻³.

Key points

  • Ag₂CrO₄(s) ⇌ 2Ag⁺ + CrO₄²⁻; at saturation [Ag⁺] = 2s, [CrO₄²⁻] = s.
  • Molar solubility s = 2.5 × 10⁻² / 331.728 = 7.536 × 10⁻⁵ mol L⁻¹.
  • Ksp = [Ag⁺]²[CrO₄²⁻] = (2s)²(s) = 4s³ = 4 × 4.280 × 10⁻¹³ = 1.71 × 10⁻¹².
  • This low Ksp is used in Mohr’s method: red Ag₂CrO₄ appears only after AgCl is complete.

The full model answer

As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

Model answer to Q1(e), 2025 Mains Paper I: solution pages 5 and 6
Solution pages 5 and 6 of 24

Coverssolubility productKspsilver chromatemolar solubilityMohr method