Module 4 : Kinetic Theory of Gases

Lecture 8 : Principle Of Equipartition Of Energy

Example 4.3:
Compute the most probable speed , the mean speed, and the root-mean-square speed for oxygen at 0°C.
Mass of an oxygen atom
                                   

Example 4.4:
Assuming a tri-atomic molecule to be a triangular structure with each atom at one apex, determine the specific heat ratio of a gas consisting of tri atomic molecules, with the help of equipartition principle.

Solution:

Each atom is free to vibrate along the line joining in to another atom. Each molecule has six vibrational degrees of freedom apart from three translational degrees of freedom and three rotational degrees of freedom. Therefore, the total internal energy according to the principle of equipartition of energy is: