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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 · 2021 · Mains Paper I

Q1(b). Fifth ammonia ligand on copper(II)

Question

The stepwise formation constants for the complexes of NH₃ with [Cu(OH₂)₆]²⁺(aq) are log Kf1 = 4.15, log Kf2 = 3.50, log Kf3 = 2.89, log Kf4 = 2.13, and log Kf5 = −0.52. Why is Kf5 so different?

Answer in brief

The fifth NH₃ must occupy a weak, elongated axial site of Jahn-Teller-distorted Cu(II); K₅ ≈ 0.302 is consequently much smaller than K₄ ≈ 135.

Key points

  • Cu²⁺ is d⁹, with uneven occupation of the octahedral eg set. Axial elongation stabilises the complex.
  • The first four NH₃ ligands favour the four short equatorial positions, giving [Cu(NH₃)₄(H₂O)₂]²⁺ with long axial Cu-OH₂ bonds.
  • The fifth NH₃ replaces water at a long, weak axial position; its binding gains much less energy than equatorial binding.
  • K₄ = 102.13 = 134.9; K₅ = 10−0.52 = 0.302; K₄/K₅ ≈ 447. Ordinary statistical decreases alone do not explain this abrupt fall.

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(b), 2021 Mains Paper I: solution pages 3 and 4
Solution pages 3 and 4 of 29

Coversstepwise formation constantJahn-Teller effectcopper ammine complexCu(II) d9axial elongation