Q1 (40%) Given that translational and rotational degrees of freedom typically behave classically, but vibrations behave quantum mechanically, the total(average) energy of a diatomic is predicted to be, U = (5/2)RT + , where is obtained from Eq. 1.24 in the textbook. 1. (10%) Calculate the contribution from translation and rotation to the molar heat capacity of the Cl2 gas at 400 K. 2. (10 %) Calculate the contribution from vibration to the molar heat capacity of the Cl2 gas at 400 K, given that diatomic molecule Cl, has a vibrational wavenumber of 565 cm¬1. 3. (10%) Predict the molar heat capacity of Cl2 gas at 400 K and compare your result with the experimental molar heat capacity of Cl2 , Cy × 29 J/(K mol) at400 K. 6) Calculate the average internal energy for the Cl2 gas at 400 K.