The average velocity of atoms in a gas can be calculated using the formula for the root mean square (RMS) speed, which is given by ( v_{\text{rms}} = \sqrt{\frac{3kT}{m}} ), where ( k ) is the Boltzmann constant, ( T ) is the temperature in Kelvin, and ( m ) is the mass of a single atom. For neon (( Ne )), the molar mass is approximately 20.18 g/mol, which converts to about ( 3.34 \times 10^{-26} ) kg per atom. Plugging in the values at 308 K, the average RMS speed of neon atoms is approximately 450 m/s.
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