What is the mean translational kinetic energy of atmospheric nitrogen (N₂) of molar mass 28.01 g/mol at a temperature of 298 K?

A container holds 1.5 moles of neon gas, which possesses 2500 J of thermal energy. Calculate the temperature of the gas in degrees Celsius.

In a container at atmospheric pressure, the temperature of the krypton gas above the liquid krypton is at krypton's boiling point of 120 K. Determine (i) the root-mean-square speed of the atoms, (ii) the mean energy per atom, and (iii) the mean free path in the gas. The atomic mass of krypton is 83.798 u and the atomic radius of krypton is 8.8 x 10^-11 m.

In an art gallery, a cubic room with sides measuring 10 m each maintains a consistent air temperature of 24℃ to preserve the artwork. Calculate the total thermal energy of the room.