21. Kinetic Theory of Ideal Gases

A flask contains a mixture of neon (Ne), krypton (Kr), and radon (Rn) gases. Compare the average kinetic energies of the three types of atoms.

What is the total translational kinetic energy of the air in an empty room that has dimensions $8.00$ m$\times 12.00$ m$\times 4.00$ m if the air is treated as an ideal gas at $1.00$ atm?

Consider a container like that shown in the Figure, with $n_1$ moles of a monatomic gas on one side and $n_2$ moles of a diatomic gas on the other. The monatomic gas has initial temperature $T_{1i}$. The diatomic gas has initial temperature $T_{2i}$. Show that the equilibrium temperature is

$T_f=\frac{3n_1{T}_{1i}+5n_2{T}_{2i}}{3n_1+5n_2}$

At 100℃ the rms speed of nitrogen molecules is 576 m/s. Nitrogen at 100℃ and a pressure of 2.0 atm is held in a container with a 10 cm x 10 cm square wall. Estimate the rate of molecular collisions (collisions/s) on this wall.