Your work in a laboratory requires a certain dangerous ideal gas, which you will be using for the next three weeks. You know that the gas is corrosive and that gas particles are constantly colliding with one another and, more worrisome, with the walls of the container. Thus there is some finite probability that a gas particle will react with a particle of the container and weaken the container wall. You have \(4.00 \times 10^{-3} \mathrm{~kg}\) of this gas in a spherical \(6.45-\mathrm{L}\) container in which the walls are \(10.0 \mathrm{~mm}\) thick. The mass of each gas particle is \(6.054 \times 10^{-26} \mathrm{~kg}\). The temperature of the gas is always close to room temperature and certainly never rises above \(30^{\circ} \mathrm{C}\). After a little online search, you realize that each time a gas particle hits the container wall there is a one in 3 million chance of a corrosive reaction. That causes you to wonder about safety issues.