Answer:
the square of the average atomic velocity.
Explanation:
From the formulas for kinetic energy and temperature for a monoatomic gas, which has three translational degrees of freedom, the relationship between root mean square velocity and temperature is as follows:
[tex]v_{rms}=\sqrt{\frac{3RT}{M}}[/tex] (1)
Where [tex]v_{rms}[/tex] is the root mean square velocity, M is the molar mass of the gas, R is the universal constant of the ideal gases and T is the temperature.
The root mean square velocity is a measure of the velocity of the particles in a gas. It is defined as the square root of the mean square velocity of the gas molecules:
[tex]v_{rms}=\sqrt{<v^2>}[/tex] (2)
substituting 2 in 1, we find the relationship between mean square speed and temperature:
[tex]\sqrt{<v^2>}=\sqrt{\frac{3RT}{M}}\\T=\frac{M<v^2>}{3R}\\\\T\sim <v^2>[/tex]
