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ExamsJEE AdvancedChemistry

The desorption of gas molecules from an adsorbent surface obeys the Arrhenius equation. The average time for which an N2 molecule remains adsorbed on a Pt surface at 400 K is: Given: Pre-exponential factor A = 1.25 * 10⁸ s⁻¹; Activation energy of desorption = 16 kcal/mol; e²⁰ = 5 * 10⁸.

  1. 0.25 sec
  2. 4 sec
  3. 8 sec
  4. 0.125 sec

Correct answer: 4 sec

Solution

Using R = 2 cal/(mol*K): Ea/RT = 16000/(2*400) = 20. Rate constant k = 1.25*10⁸ * e⁻²⁰ = 1.25*10⁸ / (5*10⁸) = 0.25 s⁻¹. Average time = 1/k = 4 s.

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