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The root-mean square speeds of the molec...

The root-mean square speeds of the molecules of different ideal gases, maintained at the same temperature are the same.

Text Solution

Verified by Experts

At the same temperature `bar(c)prop(1)/(sqrt(M))`
i.e., dependent on molar mass and hence `bar(c)` will be different for different ideal gases.
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Knowledge Check

  • The root mean square speed of gas molecules

    A
    is same for all gases at the same temperature
    B
    depends on the mass of the gas molecule and its temperature
    C
    is independent of the density and pressure of the gas
    D
    depends only on the temperature and volume of the gas

  • The root mean square speed of the molecules of a gas is

    A
    independent of its pressure but directly proportional to its Kelvin temperature
    B
    directly proportional to two square root of both its pressure and its Kelvin temperature
    C
    indepdent of its pressure but directly proportional to the square root of its Kelvin temperature.
    D
    directly proportional to its pressure and its Kelvin temperature.

  • The root mean square speed of molecules of two ideal gases A and B, at the same temperature are

    A
    The same
    B
    Inversely proportional to the square root of the molecular weight
    C
    Directly proportional to the molecular weight
    D
    Inversely proportional to the molecular weight