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Math Help - assuming water molecules

  1. #1
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    Exclamation assuming water molecules

    assuming water molecules in the gas phase act as an ideal gas, how many times greater is the rms speed of water molecules in the gas phase at the bolling temperature of water compared to the freezing temperature of water.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Celia
    assuming water molecules in the gas phase act as an ideal gas, how many times greater is the rms speed of water molecules in the gas phase at the bolling temperature of water compared to the freezing temperature of water.
    The temperature (absolute) is proportional to the average translational KE
    of the molecules. Therefore the absolute temperature is proportional to the
    mean square speed of the water molecules, so

    <br />
\frac{373}{273}=\frac{v_{T=100,\ rms }^2}{v_{T=0,\ rms}^2}<br />
,

    from which the ratio of the rms speeds can be found.

    RonL
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