Suppose that a 1.00 cm3 box in the shape of a cube is perfectly evacuated, except for a single particle of mass 1.23 x 10^-3 g. The particle is initially moving perpendicular to one of the walls of the box at a speed of 245 m/s. Assume that the collisions of the particle with the walls are elastic.
a) Find the average pressure on the walls perpendicular to the particle's path.
b) Find the temperature inside the box.
c) Discuss the assumption of elastic collisions, in light of this result.