Question

According to the postulates of kinetic theory of gases, which one is true?

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

Answer 1

The correct option is D the mean translational kinetic energy of the molecule is directly proportional to the absolute temperature

The mean translational K.E. of the molecule is directly proportional to the absolute temperature.

Explanation :

K.E = $\frac{1}{2}mn{\mu }^2$

Since $\mu \propto \sqrt{T}$

$\therefore$ K.E. depends on temperature.