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Respresent the relative values of most p...

Respresent the relative values of most probable speed, average speed and root mean square speed on Maxwell's distribution curve for speeds.

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Define most probable speed, average speed and root mean square speed of a gas. How are they related to each other ?

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Knowledge Check

  • Most probable speed, average speed and RMS speed are related as -

    A
    `1: 1.128 : 1.224`
    B
    `1: 1.28: 1.424`
    C
    `1:2.128: 1.224`
    D
    `1:1.428: 1.442`
  • 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 ratio of everage speed, most probable speed and root mean square speed of a gas sample will be

    A
    `sqrtfrac{4}{pi}:sqrt3:sqrt2`
    B
    `sqrtfrac{8}{pi}:sqrt2:sqrt3`
    C
    `sqrtfrac{16}{pi}:sqrt2:sqrt3`
    D
    `sqrt2:sqrtfrac{9}{pi}:sqrt3`
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    What is the relation between average speed and root mean square speed for a gas ?

    The ratio of average speed, most probable speed and root mean square speed of a gas sample will be

    Most probable speed, c_(mp) , average speed, c_(av) and root mean square speed c_(rms) of gas molecules are related as

    The ratio of root mean square speed, average speed and most probable speed is

    The ratio of root mean square speed, average speed and most probable speed is