1. An ideal monatomic gas is confined to an insulated cylinder filed with an insulated piston. (a) By considering collisions of the m clues or the gas with the quasistatically? moving piston, show that PV5/2 constant. (b) Determine the pressure dependence of the rms speed of the molecules in an adiabatic compression or expansion. 2. A molecule consists of four atoms at the corners of a tetrahedron. (a) What is the number or translational, rotational, and vibrant tonal degrees or freedom for this molecule? (b) On the basis of the equipper Ilion principle, what are the values of cv and y for a gas composed or these molecules?