Helium (He), Argon (Ar), and Xenon (Xe) are isolated from the atmosphere and placed in the same container. How does the average kinetic energy of these atoms compare?

Argon gas is stored in a tank with a rectangular surface of sides 15 cm and 25 cm. The tank is pressurized to 3.0 atm and kept at a temperature of 300 K. The root mean square velocity of the argon gas is found to be 430 m/s. Calculate the number of collisions per second that occur on the rectangular surface of the tank.

A container is filled with 2.5 mol of oxygen gas at a temperature of 350 K. Calculate the rotational kinetic energy of the gas inside the container.

A hydrogen diatomic molecule, modeled as a rigid molecule, revolves around a vertical rotational axis as shown in the figure. The separation distance between the two hydrogen atoms is 0.74 Å. Calculate the angular frequency at 350 K of the hydrogen molecule revolving about the vertical axis.

Black phosphorus is a two-dimensional material made of phosphorus atoms arranged in a layered structure. Black phosphorous is one (or a few) atoms layer thick material. It has unique electronic and optical properties. Express the molar-specific heat of black phosphorus as a multiple of the universal gas constant R.

A thin barrier separates two compartments in a rigid insulator box. While the right compartment holds n_He moles of helium at a temperature of T_he, the left compartment holds n_ox moles of oxygen at a temperature of T_ox. The barrier prevents any mixing of the gases. Find the final thermal energy of helium and oxygen in terms of n_ox, n_he and the total initial energy (E_tot) when they reach equilibrium.