An ideal gas at 200.0 K and 1.50 atm pressure is heated to 1000.0 K and kept at 1.50 atm pressure. Which of the statements below are true? If they are not true, be sure to explain how you know.

I. The root mean square speed of the molecules increases by a factor of five.

II. The average molecular kinetic energy increases by a factor of twenty–five.

III. The collision frequency with a unit area of container wall increases.

IV. The average molecular kinetic energy increases by a factor of five