The pressure in a container is related to the change in momentum of particles as they smash into the walls of the container. We derived an expression for it in equation (3.2). We also determined the frequency with which particles cross any given geometric plane, \(\Omega_{w}\). If we assume the plane to be the wall of a container for example, is there an approximate mathematical relationship between the pressure in the gas and the collision frequency with the walls?

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1N 1N P = {(~~) mv = {(v) mv 3 V (3.2)