1. A thin-walled vessel of volume V contains N particles which slowly leak out of a small hole of area A. No particles enter the volume through the hole. Find 1 he rime required for the number of particles 10 decreases lo N/2. Express your answer in rearms of A, V, and v. 2. The pressure in a vacuum system is 10-3 Torre. The external pressure is I a am and T- 300 K. There is a pinhole in the walls of the system, of area 10-10 cm2. Assume the every molecule “striking” I he hole passes through (a) How many molecules leak into the system in I hour ? (b) If the volume of the system is 2 liters, whale rise in pressure would result in the system? (c) Show the number of molecules that leak out is negligible.
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