Answer Happy

(20%) Answer the following questions for a general diatomic molecule given that translational and rotational degrees of freedom typically behave classically, but vibrations behave quantum mechanically. 1. (5%) Write an expression for the total (average) energy of a general diatomic molecule 2. (5%) Calculate the contribution from translation and rotation to the molar heat capacity of the Br₂ gas at 200 K. 3. (5%) Calculate the contribution from vibration to the molar heat capacity of -1 the Br2 gas at 200 K, given that Cl₂ has a vibrational wavenumber of 323 cm 4. (5%) Predict the molar heat capacity of Br2 gas at 200 K and compare your result with the experimental molar heat capacity of Cl₂, Cy≈ 26 J/(K mol) at 200 K. Discuss your result.