A 1.0-mol sample of helium gas has a temperature of 18°C. What is the total kinetic energy of all the gas atoms in the sample?

Estimate how many air molecules rebound from a wall in a typical room per second, assuming an ideal gas of N molecules contained in a cubic room with sides of length ℓ at temperature T and pressure P.

(a) Show that the frequency f with which gas molecules strike a wall is ƒ = ($\overline{{\upsilon }_x}$ /2)(P/kT) ℓ² where $\overline{{\upsilon }_x}$ is the average x component of the molecule’s velocity.

(b) Show that the equation can then be written as ƒ≈ Pℓ² /$\sqrt{4mkT}$ where m is the mass of a gas molecule.

A gas consisting of 14,500 molecules, each of mass 2.00 x 10⁻²⁶ kg, has the following distribution of speeds, which crudely mimics the Maxwell distribution. Determine vᵣₘₛ for this distribution of speeds.

For what range of pressures and temperatures can CO₂ be a liquid? Refer to Fig. 18-6.