What is the kinetic energy ratio of Argon to Chlorine?

To determine the kinetic energy ratio of Argon to Chlorine, we can use the concept that the average kinetic energy of gas particles depends on their temperature and is given by the equation:

[ KE \propto \frac{1}{2} mv^2 ]

where ( m ) is the mass and ( v ) is the velocity of the gas particles. For ideal gases at the same temperature, the average kinetic energy is also directly related to their molar masses.

In this case, Argon (Ar) has a molar mass of approximately 40 g/mol, while Chlorine (Cl₂), being a diatomic molecule, has a molar mass of approximately 70.9 g/mol.

Since kinetic energy is inversely proportional to the mass of the gas when comparing two gases at the same temperature:

1. Argon's kinetic energy can be tied to its molar mass.

2. Chlorine's kinetic energy can also be determined by its molar mass.

The ratio of their average kinetic energy can be approximated as:

[ KE_{Ar} : KE_{Cl_2} \propto \frac{1}{m_{Ar}} : \frac{1}{m_{Cl_2}} \