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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 · 2019 · Mains Paper II

Q1(m). Energy of one einstein

Question

Define one einstein of energy and calculate its value for 350 nm light.

Answer in brief

One einstein is one mole of photons; at 350 nm its energy is 3.418×10⁵ J (341.8 kJ).

Key points

  • A photon has energy hc/λ. Thus the energy of one mole of monochromatic photons is E=NAhc/λ.
  • Insert NA=6.022×10²³ mol⁻¹, h=6.626×10⁻³⁴ J s, c=2.998×10⁸ m s⁻¹ and λ=350×10⁻⁹ m.
  • This gives E=341787 J for one mole of photons.

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), 2019 Mains Paper II: solution pages 5 and 6
Solution pages 5 and 6 of 17

CoversEnergy of one einsteinPhotochemistry