The air that we breathe is made up of a number of different molecules, including nitrogen (about 78%) and oxygen (about 21%), as well as trace amounts of other gases, like argon and carbon dioxide. Focusing on the diatomic oxygen molecule (with a mass of 5.3 x 10 ^-26 kilograms) at room temperature (say 295 K), determine 

(a) The root-mean-square (RMS) velocity of its center of mass motion. 

(b) Recalling that the rotational kinetic energy of a system is K. = 1/2Iω ² . where ω is the angular velocity, and that the angular momentum is L = Iω, find the angular momentum around one of the two rotational axes of diatomic oxygen, for which the moment of inertia is l = 1.95 x 10 ^-45  kg m2 ^.