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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 · 2016 · Mains Paper II

Q1(m). Photochemical quantum yield

Question

A 250 W source at 250 nm irradiates a compound for 90 minutes. Forty percent of the light is reflected and the rest absorbed; 0.02 mol decomposes. Calculate the quantum yield.

Answer in brief

Φ=1.18×10⁻² molecules decomposed per absorbed photon.

Key points

  • The absorbed radiant energy is E_(abs)=0.60×250×90×60=8.10×10⁵ J.
  • One photon has energy hc/λ=7.946×10⁻¹⁹ J. Therefore the amount of absorbed photons is E_(abs)/(NAhc/λ)=1.693 mol.
  • Φ=n_(decomposed)/n_(photons,abs)=0.020/1.693=0.0118. Incident rather than absorbed photon count would give the wrong quantum yield.

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(m), 2016 Mains Paper II: solution pages 5 and 6
Solution pages 5 and 6 of 19

CoversPhotochemical quantum yieldPhotochemistry