Treat carbon monoxide as a perfect gas and apply equilibrium statistical thermodynamics to the study of its properties, as specified below, in the temperature range 100-1000 K at 1 bar. V = 2169.8 cm-1, B =1.931 cm-1, and Do = 11.09 eV; neglect anharmonicity and centrifugal distortion.
(a) Examine the probability distribution of molecules over available rotational and vibrational states.
(b) Explore numerically the differences, if any, between the rotational molecular partition function as calculated with the discrete energy distribution and that calculated with the classical, continuous energy distribution.
(c) Calculate the individual contributions to Um(T) – Um (100 K), CV,m(T), and Sm(T) - Sm(100 K) made by the translational, rotational, and vibrational degrees of freedom.