21. Kinetic Theory of Ideal Gases

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

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

Consider a container like that shown in Figure 20.12, with n₁ moles of a monatomic gas on one side and n₂ moles of a diatomic gas on the other. The monatomic gas has initial temperature T₁ᵢ. The diatomic gas has initial temperature T₂ᵢ. b. Show that the equilibrium temperature is

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.

5.0 x 10²³ nitrogen molecules collide with a 10 cm² wall each second. Assume that the molecules all travel with a speed of 400 m/s and strike the wall head-on. What is the pressure on the wall?

a. What is the total rotational kinetic energy of 1.0 mol of nitrogen gas at 300 K?

b. A nitrogen molecule consists of two nitrogen atoms separated by 0.11 nm, the bond length. Treat the molecule as a rotating dumbbell and find the rms angular velocity at this temperature of a nitrogen molecule around the z-axis, as shown in Figure 20.10.

The 2010 Nobel Prize in Physics was awarded for the discovery of graphene, a two-dimensional form of carbon in which the atoms form a two-dimensional crystal-lattice sheet only one atom thick. Predict the molar specific heat of graphene. Give your answer as a multiple of R.

Consider a container like that shown in Figure 20.12, with n₁ moles of a monatomic gas on one side and n₂ moles of a diatomic gas on the other. The monatomic gas has initial temperature T₁ᵢ. The diatomic gas has initial temperature T₂ᵢ. a. Show that the equilibrium thermal energies are