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  • Root-Mean-Square Speed of Air Molecules: Understanding the Concept
    The measure for the average speed of air molecules is called the root-mean-square speed (RMS speed).

    Here's why it's not just the average speed:

    * Gas molecules move randomly: They don't all travel at the same speed. Some move very fast, some very slow, and most fall somewhere in between.

    * The RMS speed accounts for this randomness: It takes the square root of the average of the squared speeds of all the molecules. This gives a more accurate representation of the overall speed of the molecules in a gas.

    The formula for calculating RMS speed is:

    ```

    v_rms = √(3kT/m)

    ```

    Where:

    * v_rms is the root-mean-square speed

    * k is the Boltzmann constant (1.38 x 10^-23 J/K)

    * T is the absolute temperature in Kelvin

    * m is the mass of a single molecule

    Important Note: The RMS speed is a measure of the *average* speed of the molecules. Individual molecules will be moving at a range of speeds, but the RMS speed gives a good indication of the typical speed.

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