Home
Class 11
PHYSICS
While considering the motion of gas mole...

While considering the motion of gas molecules in a container,why do we use rms speed instead of average speed of molecules?

Text Solution

Verified by Experts

Since, a large number of gas molecules is present in a container, therefore for velocity for any molecule there exists another molecule with an equal and opposite velocity As velocity is a vector quantity. Resultant velocity of all the molecules becomes zero. hence average velocity also vanishes. So we could not derive any conclusion about the velocity of the gas molecules from it.
On the other side,if only the magnitudes of velocities (scalar) are considered to find the average , average speed does not vanishes. But in the kinetic theory of gases we find that pressure,temperature , molecular kinetic energy of a gas are proportional to the rms speed are not with the molecular velocity. Hence rms speed of a molecule is more preferable than average speed in kinetic theory.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple Choice Questions)|24 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise EXERCISE (Very Short Answer Type Questions)|37 Videos
  • KINETIC THEORY OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|9 Videos
  • HYDROSTATICS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|1 Videos
  • MEASUREMENT AND DIMENSION OF PHYSICAL QUANTITY

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|18 Videos

Similar Questions

Explore conceptually related problems

The motion of gas molecules ceases at the temperature of absolute zero .Explain.

What is the rms speed of Helium gas molecules at STP.

Knowledge Check

  • The rms speed of oxygen molecules at 47^@C will be equal to the rms speed of hydrogen molecules at

    A
    80 K
    B
    `-83K`
    C
    3K
    D
    20 K
  • Statement I: The rms speed of oxygen molecules (O_2) at an absolute temperature T is c. IF the temperature is doubled and oxygen gas dissociates into atomic oxygen, the rms speed remains unchanged. Statement II: The rms speed of the molecules of a gas is directly proportional to sqrt(T//M)

    A
    Statement I is true,statement II is true, statement II is a correct explanation for statement I
    B
    Statement I si true,statement II is true, statement II is not a correct explanation for statement I.
    C
    Statement I is true, statement II is false
    D
    Statement I is false, statement II is true,
  • Similar Questions

    Explore conceptually related problems

    IF the number of gas molecules in a container in doubled, how will the pressure and the total kinetic energy of the gas molecules of that container change?

    Find out the ratio of the rms speeds of hydrogen and nitrogen molecules at STP?

    By how times will the pressure of a gas kept in a gas container of constant volume increase to double the rms speed of the gas molecules?

    Calculate the rms speed of oxygen gas molecule at 300 K.

    A container having volume 1L contains 10^25 number of oxygen molecules If the mass and the rms speed of oxygen molecules are 2.7 times 10^-25g and 4 times 10^4 cm.s^-1 , respectively what will be the pressure of that gas?

    How will the rms speed and the total kinetic energy of the gas molecules change, if its absolute temperature is decreased 4 times?