Problem 9: Tetrachloromethane, CCl4, was formerly widely used in fire extinguishers, as a precursor to refrigerants, and as a cleaning agent, but has since been phased out because of toxicity and safety concerns. Due to its high symmetry, CCI, has rotational temperature of Ra = 1,8 = Ore = 0.0823 K, and vibrational temperatures of 660 K, 310 K (2-fold degenerate), 1120 K (3-fold degenerate), and 450 K (3-fold degenerate) a) Determine the symmetry number of CCl4 molecule. b) Calculate the rotational partition function of CCl4 molecule. c) Calculate the contribution of rotational degrees of freedom to the internal energy of 1 mole of CCl4 gas at 300 K and 3000 K. d) Calculate the contribution of vibrational degrees of freedom to the internal energy of 1 mole of CCl4 gas at 300 K and 3000 K. e) Calculate the total internal energy of 1 mole of CCl4 gas at 300 K and 3000 K. f) Calculate the vibrational molar heat capacity, (Cvm)vib, at 300 K and 3000 K. g) Calculate the total molar heat capacity, Cv,m, at 300 K and 3000 K. h) Can we apply equipartition theorem at 3000 K? Compare your results obtained in (e) and (g) at 3000 K and those calculated using the equipartition theorem