1. Understand the Concept
The average velocity of gas particles is related to their kinetic energy, which is directly proportional to temperature. We can use the root-mean-square (rms) velocity to represent this average velocity.
2. Formula
The rms velocity (vrms) is given by:
vrms = √(3RT/M)
where:
* R is the ideal gas constant (8.314 J/mol·K)
* T is the temperature in Kelvin
* M is the molar mass of the gas in kg/mol
3. Calculate the Molar Mass of Neon
Neon has an atomic mass of approximately 20.18 g/mol. Convert this to kg/mol:
M = 20.18 g/mol * (1 kg / 1000 g) = 0.02018 kg/mol
4. Plug in the Values
vrms = √(3 * 8.314 J/mol·K * 308 K / 0.02018 kg/mol)
5. Calculate the Result
vrms ≈ 517 m/s
Therefore, the average velocity of neon atoms in 2.00 mol of neon at 308 K is approximately 517 m/s.
Important Note: The number of moles (2.00 mol) doesn't affect the average velocity. The rms velocity depends only on the temperature and the molar mass of the gas.