Question

What is the average kinetic energy per atom of each gas?

Answer 1

Hint: Degrees of freedom describe physical variables that give their characteristics to a particular system. A degree of freedom gives a system a special feature. For example, molecular vibration, or the motion of the atoms, are characterized by their degrees of freedom, based on their binding states.

Step By Step Answer:
As both Helium and Neon are single-atomic gasses, each gas’ degree of freedom is f=3. The maximum kinetic force is equivalent to thermal energy according to the ideal gas theory. This is why-

$\Rightarrow K.E = \dfrac{f}{2}kT \\\ \\\ \Rightarrow \dfrac{3}{2}\left( {1.38 \times {{10}^{ - 23}}} \right)\left( {300} \right) \\\ \\\ \Rightarrow 6.21 \times {10^{ - 21}}J/atom \\\$

The kinetic gas hypothesis is a paradigm for the thermodynamic action of gases traditionally important but basic. With it several main thermodynamic ideas have been developed. A large number of similar sub microscopic particles which are all in continuous, fast, random movement are represented in the model. It is presumed that the scale is much less than the total diameter of the particles. Extreme elastic collisions arise between the objects and the container walls next to them. In its simple form, the ideal gas is defined and all other interactions between the particles are taken into consideration and thus the essence of kinetic energy transfers during collisions is purely thermal. The principle of kinetic gases describes the macroscopic properties of gases, for example length, pressure and temperature and the transport characteristics such as viscosity, thermal conductivity, as well as mass diffusivity. The model also includes anomalies linked to it, including Brownian motion.

Note: The gas contains very tiny objects or molecules. Such smallness is such that the overall amount of each gas molecule is negligible in contrast with the amount of the smallest transparent ball holding all the gases. This coincides with the fact that, by contrast with their scale, the average distance between the gas particles is high.