Chapter 5, Problem 157CP

One of the assumptions of the kinetic molecular theoryis that the volume of a gas particle is negligible. If thiswere the case, the ratio of the number of collisions of gasparticles with the walls of the container compared to thenumber of collisions a given gas particle experienceswith other gas particles should be quite high. Determinethe volume of a cube (in L) filled with helium such thatthe ratio of the number of collisions of helium atomswith the container walls to the number of intermolecularcollisions for a given helium atom is 1 quintillion $\text{(1 quintillion}\text{=1}{\text{.00×10}}^{\text{18}}\text{)}$ . The atomic radius of heliumis $\text{3}{\text{.2×10}}^{\text{-11}}\text{m}$ .