12.19 Specific Heat of Gases

The atoms of a solid have only vibrational degrees of freedom. The gas molecules can have three types of motion—translational, rational and vibrational. Hence, the total energy of atoms of a mass M is

 

UM = UT + UR + Uv     (12.105)

 

where UT, UR and UV are the energies associated with translational, rotational and vibrational degrees of freedom, respectively.

12.19.1 Calculation of Specific Heat Due to Translational Motion

With each degree of freedom of translational motion, an amount of energy 1/2 kT is associated. Hence if N be the number of molecule per gm-molecule, then the energy per gm-molecule due to translational motion is

 

 

Since the centre of gravity of the molecule can have only three degrees of ...

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