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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.
- 0.25 sec
- 4 sec
- 8 sec
- 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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