ChemistryTwo bulbs A and B of equal capacity are filled with He and SO2 respectively at same temperature and pressure. Calculate ratio of μrms for He and SO2.

Two bulbs A and B of equal capacity are filled with He and SO2 respectively at same temperature and pressure. Calculate ratio of μrms for He and SO2.

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    Solution:

    urms is the root-mean-square (rms) velocity, it is the square root of the mean square velocity. The rms velocity is directly proportional to the square root of temperature and inversely proportional to the square root of the molar mass.

    Expression of urms is:

    μrms=3RTM

    In the given question, temperature is same and R is the universal gas constant. Therefore, the value of urms depends on the molar mass of the given gases.

    μrms(He)μrms(SO2)=MSO2MHe=644=4

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