Module 4 : Kinetic Theory of Gases

Lecture 8 : Principle Of Equipartition Of Energy

Example 4.2:
A cylinder containing hydrogen at 400 K, 1 atm is placed in an evacuated chamber. If a hole of area 0.03mm2 is made in the cylinder. Calculate the number of molecules leaking through the hole per second. Take the average velocity of the molecules as 0.725 of the rms speed.

Solution:

For hydrogen,

Rate of flux of molecules per unit area 

Rate of hydrogen leakage through the hole