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11 November, 09:34

Find the rms speed of the molecules of a sample of n2 (diatomic nitrogen) gas at a temperature of 31.5°c.

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  1. 11 November, 11:41
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    The rms speed can be calculated using the following rule:

    rms = sqrt ((3RT) / (M)) where:

    R is the gas constant = 8.314 J/mol-K

    T is the temperature = 31.5 + 273 = 304.5 degrees kelvin

    M is the molar mass = 2*14 = 28 grams = 0.028 kg

    Substitute with the givens to get the rms speed as follows:

    rms speed = sqrt [ (3*8.314*304.5) / (0.028) ] = 520.811 m/sec
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