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

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. (a) Calculate the number of gas molecules per cubic centimeter at this pressure. (b) What is the mean free path of the gas molecules if the molecular diameter is 2.00 x 10'8 cm? At what frequency would the wavelength of sound in air be equal to the mean free path of oxygen molecules at 1.0 atm pressure and 0.00 C? The molecular diameter is 3.0 x 10'8 cm. 10. The volume of an ideal gas is adiabatically reduced from 200 L to 74.3 L. The initial pressure and temperature are 1.00 atm and 300 K. The final pressure is 4.00 atm. (a) Is the gas monatomic, diatomic, or polyatomic? (b) What is the nal temperature? (c) How many moles are in the gas