What is the total translational kinetic energy of the air in an empty room that has dimensions 7.00 m × 12.00 m × 4.00 m if the air is treated as an ideal gas at 1.00 atm?

The total translational kinetic energy of a gas is given by
(1)
where this equation is derived from the ideal gas law, and where P is the gas pressure and V its volume.

For the gas in our problem, the pressure is

while the volume is


Therefore, the total translational kinetic energy of the gas is (by using eq.(1))

If football was tossed in air without gravity or friction the ball would go into space