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UPSC Combined Geo-Scientist

Chemist

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

Mains Paper II covers physical chemistry.

UPSC Combined Geo-Scientist, Mains · 2017 · Mains Paper II

Q1(h). Molar absorptivity

Question

Define molar extinction coefficient ε. State its unit and the factors influencing it.

Answer in brief

ε=A/(cl) is the molar absorptivity at a specified wavelength; commonly its unit is L mol⁻¹ cm⁻¹.

Key points

  • Beer–Lambert law is A=log₁₀ (I₀/I)=ε cl. The coefficient expresses how strongly one molar concentration of the species absorbs per unit path length.
  • With SI concentration in mol m⁻³ and path length in metres, the SI unit is m² mol⁻¹; 1 L mol⁻¹ cm⁻¹=0.1 m² mol⁻¹.
  • It depends on wavelength, molecular structure and transition probability, solvent and chemical form.
  • For a fixed species under Beer–Lambert conditions, ε does not depend on path length or concentration.

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(h), 2017 Mains Paper II: solution pages 3 and 4
Solution pages 3 and 4 of 19

CoversMolar absorptivityUV–visible spectroscopy