If one poison molecule walking randomly exists in this volume, how long will it take to this poison molecule to hit the small surface of the catalyst ?

This volume contain 6.02 10²³ molecules, as whe have 2,9 10⁹ collisions/second onto the small surface of catalyst.

for one molecule we will have

2.9 10⁹ / 6.02 10²³ = 4.81 10^-15 collisions/second

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