Thermal Energy — Prelims Questions

Which of the following statements correctly describes thermal energy?

Calculate the average translational kinetic energy of a single molecule of an ideal gas at $27^\circ C$. (Given: Boltzmann constant $k = 1.38 \times 10^{-23}\,J/K$)

According to the Law of Equipartition of Energy, what is the total average thermal energy of a non-linear polyatomic molecule at a temperature where all translational and rotational degrees of freedom are active, but vibrational modes are 'frozen out'?

Which of the following processes requires the absorption of thermal energy to overcome intermolecular forces but does not result in a temperature increase?

If the absolute temperature of an ideal gas is doubled, what happens to the average kinetic energy of its molecules?

At a given temperature, which of the following gases will have the highest average molecular speed: H$_2$ (Molar Mass = 2 g/mol), O$_2$ (Molar Mass = 32 g/mol), CH$_4$ (Molar Mass = 16 g/mol), or CO$_2$ (Molar Mass = 44 g/mol)?