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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 · 2023 · Mains Paper I

Q1(j). Magnetism of vanadium ions

Question

Show that V³⁺ is paramagnetic whereas V⁵⁺ is diamagnetic.

Answer in brief

V³⁺ is [Ar]3d² and normally has two unpaired electrons; V⁵⁺ is [Ar]3d⁰ and has none.

Key points

  • Vanadium has Z = 23 and neutral configuration [Ar]3d³4s²; remove 4s electrons before 3d electrons when forming these ions.
  • V³⁺: remove two 4s electrons and one 3d electron to obtain 3d²; in an octahedral field the two electrons occupy separate t₂g orbitals.
  • Two unpaired electrons give paramagnetism; μso = √(2(2 + 2)) = 2.83 μB.
  • V⁵⁺: removal of all five valence electrons gives 3d⁰; no unpaired electrons remain, so it is diamagnetic.

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(j), 2023 Mains Paper I: solution pages 11 and 12
Solution pages 11 and 12 of 26

Coversparamagnetic vs diamagneticspin-only magnetic momentvanadium ionsd-electron configuration