(D) According to the kinetic theory of gases,the mean translational kinetic energy of gas molecules is given by the expression $E_k = \frac{3}{2} k_B

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The mean translational kinetic energy of the molecules is proportional to the absolute temperature.

(D) According to the kinetic theory of gases,the mean translational kinetic energy of gas molecules is given by the expression $E_k = \frac{3}{2} k_B T$,where $k_B$ is the Boltzmann constant and $T$ is the absolute temperature. This shows that the mean translational kinetic energy is directly proportional to the absolute temperature $(E_k \propto T)$. Therefore,option $(d)$ is the correct statement.

Class 11 Chemistry States of Matter Kinetic molecular theory of gases and Molecular collisions

Medium

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