Question

Could you please help me with part c? Thank you and have a great day!

1. A linear triatomic molecule can translate along the x, y and z axes. It also has rotational modes that have a nontrivial moment of inertia along two axis for which the rotational energy is E,--1,02L--,фг (the dot means a time derivative. these are the angular velocities about these two axes). Finally, it also has a vibrational energy E vib--11(d) 2 +-k(0x), associated with each distinct vibrational mode. (u is the reduced mass for the vibrational mode, ox is the change of the bond length joining the two atoms together and k is the spring constant of the bond that joins the two atoms). Similar terms apply to the bending modes (where the variable is an angle) (a) Sketch the distinct vibrational modes of this molecule (b) Sketch the bending models) (c) What is the molar specific heat of a gas of these molecules in the high temperature limit? (b) If the vibrational and bending energies are much greater than kBT how will the specific heat change? (Think about this - will the mode be excited at a temperature T?)

Answer 1

Molar hat ca ol t Contrf buthim to du seeurs bu tras la tunt g rotatien and vi bra tien Contributien troms latien RT 5 Ro-ta ianT つ, Vibratıon -RT 2 ibrational modo nihute at high temperiture as thuw he ire hih em aT 2. ANSWER 2. 2