UPSC Combined Geo-Scientist, Mains · 2017 · Mains Paper III
Q1(b). Selective sulfate precipitation
Question
Na₂SO₄ is added gradually to a mixture of Sr²⁺ and Ba²⁺. Which precipitates first? Given sulfate solubility products 2.8×10⁻⁷ and 4.2×10⁻¹¹, respectively.
Answer in brief
BaSO₄ precipitates first for equal or comparable metal concentrations; the rigorous comparison uses Kₛₚ/[M²⁺].
Key points
- Precipitation begins when [SO₄²⁻]_(crit)=Kₛₚ/[M²⁺] under a concentration-based approximation.
- For equal metal concentrations, barium sulfate reaches saturation at a much lower sulfate concentration.
- More generally, BaSO₄ precipitates first if [Ba²⁺]/[Sr²⁺]>4.2×10⁻¹¹/(2.8×10⁻⁷)=1.5×10⁻⁴.
- The metal concentrations are omitted, so an unconditional order cannot be inferred from solubility products alone. The customary intended answer assumes comparable concentrations.
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.

CoversSelective sulfate precipitationSolubility equilibria
All parts of Question 1
- 1(a) Copper oxide mixture5 marks
- 1(b) Selective sulfate precipitation5 marks
- 1(c) Solvent effect on aniline basicity5 marks
- 1(d) Fluoride-selective electrode5 marks
- 1(e) Organic solvents in AAS5 marks
- 1(f) Flame ionisation detector5 marks
- 1(g) Proximate analysis by TGA5 marks
- 1(h) ICP-MS dilution calculation5 marks