UPSC Combined Geo-Scientist, Mains · 2026 · Mains Paper III
Q1(h). MnO₂ in pyrolusite by back titration
Question
A solution comprising 1.0 g pyrolusite is treated with 100 mL of 0.1 N oxalic acid and H₂SO₄. The excess oxalic acid requires 27 mL of 0.05 N KMnO₄ for complete titration. Find the amount of MnO₂ (in wt%) in the sample. [Given: molar mass of MnO₂ = 87 g mol⁻¹]
Answer in brief
MnO₂ =37.6 %.
Key points
- Oxalic acid taken: 100×0.1=10.00 meq.
- Left over (equal to KMnO₄ used): 27×0.05=1.35 meq.
- Used by MnO₂: 10.00-1.35=8.65 meq.
- Mass of MnO₂ =8.65×10⁻³×43.5=0.3763 g % MnO₂=(0.3763)/(1.0)×100=37.6 %
The full model answer
Worked out step by step, as it should go in the answer booklet. The solution sheet follows it.
MnO₂ + H₂C₂O₄ + 2H⁺ → Mn²⁺ + 2CO₂ + 2H₂O (equivalent mass of MnO₂ =87/2=43.5)
- Oxalic acid taken: 100×0.1=10.00 meq.
- Left over (equal to KMnO₄ used): 27×0.05=1.35 meq.
- Used by MnO₂: 10.00-1.35=8.65 meq.
- Mass of MnO₂ =8.65×10⁻³×43.5=0.3763 g % MnO₂=(0.3763)/(1.0)×100=37.6 %

Coversback titrationMnO₂ in pyrolusite by back titration
All parts of Question 1
- 1(a) Classification of samples by size5 marks
- 1(b) Stationary-phase film thickness in gas chromatography5 marks
- 1(c) Percentage of amine from the absorbance of its picrate5 marks
- 1(d) Principle of vapour-generation AAS5 marks
- 1(e) Purge gases in thermogravimetric analysis5 marks
- 1(f) X-ray fluorescence in X-ray diffraction5 marks
- 1(g) Argon in ICP-MS; acids for arsenic5 marks
- 1(h) MnO₂ in pyrolusite by back titration5 marks