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The root mean square speed of gas molecu...

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

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The atmosphere on a planet is possible only if [ where v_(rms) is root mean square speed of gas molecules on planet and v_(e) is escape speed on its surface ]

    A
    `v_(rms) = v_(e)`
    B
    `v_(rms) gt v_(e)`
    C
    `v_(rms) le v_(e)`
    D
    `v_(rms) lt v_(e)`

  • 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 the molecules of an enclosed gas is 'v'. What will be the root mean square speed if the pressure is doubled, the temperature remaining the same?

    A
    v/2
    B
    v
    C
    2v
    D
    4v

    • Similar Questions

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    In the kinetic theory of gases, which of these statements is/are true ? (i) The pressure of a gas is proportional to the mean speed of the molecules. (ii) The root mean square speed of the molecules is proportional to the pressure. (iii) The rate of diffusion is proportional to the mean speed of the molecules. (iv) The mean translational kinetic energy of a gas is proportional to its kelvin temperature.

    A closed vessel of fixed volume contains a mass m of an ideal gas, the root mean square speed being v. Additional mass m of the same gas is pumped into the vessel and the pressure rises to 2P, the temperature remaining the same as before. The root mean square speed of the molecules now is :

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    The root mean square speed of the gas molecules is 300 m/s. what will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

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