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  • Calculating Average Atomic Velocity: A Step-by-Step Guide
    Here's how to calculate the average velocity of neon atoms at 308 K:

    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.

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