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14 February, 20:51

Calculate the rms speed of an oxygen gas molecule, o2, at 29.0 ∘c. express your answer numerically in meters per second.

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  1. 14 February, 21:52
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    The rms speed of a gas can be calculated using the following rule:

    Vrms = sqrt (3RT / M) where:

    R is the gas constant = 8.314

    T is the temperature = 29 + 273 = 302 degrees kelvin

    M is the molar mass of the gas (oxygen) = 2*16 = 32 grams = 0.032 kg

    Substitute in the equation to get Vrms as follows:

    Vrms = sqrt [ (3*8.314*302) / (0.032) ] = 485.05 meters/sec
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