Physics: Statistical Mechanics | The Ideal Gas and Kinetic Molecular Theory | Answer the Problems and Show Complete Solution. | Please read comments.

Assume the pressure in a room remains constant at 1.01 x 105 Pa and the air is composed only of nitrogen (N2). The volume of the room is 60.0 m3 . When the temperature increases from 16 C to 29 \"C, what mass of air escapes from the room? Neon (Ne) is a monatomic gas. At a temperature of 50.0 \"C, what is the internal energy of 2 grams of Ne? A cylindrical tube of 4.0 cm dlameter and 2.50 m length contains 5.0 x 10'\" kg of solute diffusing through water. A concentration difference of 5.0 x 10-3 kg/m3 is maintained between the ends of the tube and the diffusion constant of the solute is 7.5 x 10-10 m2/s. How much time is required for all the solute to diffuse through the water? In a certain particle accelerator, protons travel around a circular path of diameter 23.0 m in an evacuated chamber, whose residual gas is at 295 K and 1.00 x 10' torr pressure. (3) Calculate the number of gas molecules per cubic centimeter at this pressure. (b) What is the mean free path ofthe gas molecules if the molecular diameter is 2.00 x 10\" cm