IB Physics Collision rate in an ideal gas

A tutorial sheet on particle collisions in an ideal gas is given below.

  1. The temperature of an ideal gas is doubled, the volume of the container being kept constant. Describe the change in the rate of collision of the particles with the walls of the container.
  2. The pressure of an ideal gas is tripled, the volume being kept constant. Describe the change in the rate of collision of the particles with the walls of the container.
  3. The volume of an ideal gas is reduced by one-quarter, the temperature of the gas being kept constant. Describe the change in the rate of collision of the particles with the walls of the container.
  4. At what conditions does a real gas behave closest to an ideal gas?