Question

According to kinetic theory of gases, for a diatomic molecule

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

Answer 1

Answer: (D)

The mean translational kinetic energy $(\in )$ of an ideal gas is
$\in =\frac{3}{2}{k}_{B}T;T=$ Absolute temperature, i.e $\in \propto T$