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The rms speed of molecules of an ideal g...

The rms speed of molecules of an ideal gas is `v_(rms)`. Obtain the expression for rms value of relative speed for all pair of molecules in a gas sample.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(2)v_(rms)`
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Knowledge Check

  • The rms speed of a gas molecule is

    A
    `sqrt((M)/(3RT))`
    B
    `(M)/(3RT)`
    C
    `sqrt((3RT)/(M))`
    D
    `((3RT)/(M))^(2)`

  • Initially, the translational rms speed of a molecule of an ideal gas is 463 m/s. The pressure and volume of this gas are kept constant, while the number of molecules is doubled. What is the final translational rms speed of the molecules?

    A
    655 m/s
    B
    463 m/s
    C
    327 m/s
    D
    926 m/s

  • The rms speed of oxygen molecule in a gas at 27^(@)C would be given by

    A
    483 `ms^(-1)`
    B
    966 `ms^(-1)`
    C
    4.83 `ms^(-1)`
    D
    9.66 `ms^(-1)`

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