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UPSC Combined Geo-Scientist

Chemist

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

Mains Paper III covers analytical and organic chemistry.

UPSC Combined Geo-Scientist, Mains · 2024 · Mains Paper III

Q1(b). Partition ratio k′ and relative retention α

Question

What do you mean by partition ratio (k′) and relative retention (α) in chromatography?

Answer in brief

k′ = (tR − tM)/tM: how many times longer a solute stays in the stationary phase than in the mobile phase. α = k′₂/k′₁ (≥ 1): relative retention, a measure of column selectivity.

Key points

  • Partition ratio k′ (capacity factor; IUPAC retention factor k): amount of solute in the stationary phase divided by the amount in the mobile phase; k′ = K·VS/VM.
  • From the chromatogram: k′ = (tR − tM)/tM = t′R/tM, where tM is the time of an unretained species.
  • Best range k′ = 1 to 5; below 1 separation is poor, above 10 the analysis is long and peaks broad.
  • Relative retention α = k′₂/k′₁ = t′R2/t′R1 = K₂/K₁; the later peak is in the numerator, so α ≥ 1.
  • α = 1 means no separation, whatever the plate number; α depends on the two phases and the temperature.

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), 2024 Mains Paper III: solution pages 3 and 4
Solution pages 3 and 4 of 41

Coverspartition ratiocapacity factorretention factorrelative retentionselectivity factorchromatography