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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

Q2(a). Normalisation of the Maxwell distribution

Question

The number of molecules with speed c to c+dc is dN=Ac²e^(-mc²/(2kBT))dc. Find A, given ∫₀^∞ x²e-β x²dx=1/4√(π/β³).

Answer in brief

A=4π N[m/(2π kBT)]3/2.

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CoversNormalisation of the Maxwell distributionKinetic theory

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