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Question

According to the kinetic theory of gases, for a diatomic molecule:

A
The pressure exerted by the gas is proportional to the mean velocity of the molecule.
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B
The pressure exerted by the gas is proportional to the root mean velocity of the molecule.
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C
The root mean square velocity of the molecule is inversely proportional to the temperature.
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D
The mean translational kinetic energy of the molecule is proportional to the absolute temperature.
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Solution

The correct option is D The mean translational kinetic energy of the molecule is proportional to the absolute temperature.
KINETIC THEORY OF GASES:
(a)All the gases consists of very small molecules or atoms whose volume is negligible compared to volume of container (in case volume of container is very small, then this assumption will be violated)
(b)There is no interaction between gaseous particles (the interaction may appreciably affected under certain conditions of temperature and pressure).
(c)The gaseous molecules are under a continuous state of motion which is unaffected by gravity (the random straight line motion is known as brownian motion)
(d)Due to the continuous motion, collision between gaseous molecules with the wall of container occurs. The collision with the wall of container are responsible for pressure exerted by the gas on the wall of container.
(e)The molecule moves with different speed, however the speed of each molecule keep on changing as the collision occur.
(f)All the collision occurring are considered to be perfectly elastic which implies that there is no loss of energy.
(g)The average kinetic energy of gas will depends on absolute temperature only.
Kinetic energy per mole or per molecule of a gas depends only on temperature and not on the nature of the gas.
KEpermolecule=32RT

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