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13 September, 18:24

The molar masses for 235UF6 and 238UF6 molecules are 0.349 kg/mol and 0.352 kg/mol, respectively. If uranium hexafluoride acts as an ideal gas, what is the ratio of the root-mean-square speed of 235UF6 molecules to that of 238UF6 molecules if the temperature is uniform

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  1. 13 September, 18:31
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    0.5908 : 0.5933

    Explanation:

    vrms=√3RTM

    where vrms is the root-mean-square of the velocity, Mm is the molar mass of the gas in kilograms per mole, R is the molar gas constant, and T is the temperature in Kelvin.

    235UF6

    Mm = 0.349 kg/mol

    Vrms = √3 (0.349) (R) (T)

    238UF6

    Mm = 0.352 kg/mol

    Vrms = √3 (0.352) (R) (T)

    235UF6 : 238UF6

    √3 (0.349) (R) (T) : √3 (0.352) (R) (T)

    √0.349 : √0.352

    0.5908 : 0.5933
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