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- 2. The rotational partition function of an ethene molecule is 661 at 25°C. What is the rotational contribution to its molar entropy?A certain molecule can exist in either a nondegenerate singlet state or a triplet state (with degeneracy of 3). The energy of the triplet exceeds that of the singlet by ε. When ?=??(where T is a set value, i.e., ? is a constant), calculate the values of the molecular partition function, molar heat capacity, and molar entropy. Assume the molecules are distinguishable and independentJustifyTrouton"s rule. What are the sources of discrepancies?
- 18. Which of the following is the definition of internal energy of a system? a.it is the sum of the kinetic energy of all of its components b.it is the sum of the rotational, vibrational, and translational energies of all of its components c.lt refers only to the energies of the nuclei of the atoms of the component molecules d.It is the sum of the potential and kinetic energies of the componentsWhat arethe differencesbetween an open, a closed, and an isolated system?Describe an example of each.N2O and CO2 have similar rotational constants (12.6 and 11.7 GHz, respect ively) but strikingly different rotational partition functions. Why?
- Part A Determine the total molecular partition function for gaseous H2O at 1000. K confined to a volume of 2.20 cm³. The rotational constants for water are BA = 27.8 cm, BB = 14.5 cm¯', and Bc = 9.95 cm. The vibrational frequencies are 1615, 3694, and 3802 cm-. The ground electronic state is nondegenerate. (Note: the Avogadro's constant NA = 6.022 × 1023 mol-1). Express your answer to three significant figures. Ην ΑΣφ qtotal = Submit Request Answer5. The vibrational modes of a particular molecule are listed below. Calculate the vibrational contribution to the molar entropy at 300 K. Mode Degeneracy wavenumber / cm-1 v1 206 v2 305 v3 1083 v4 1367 USEFUL CONSTANTS R = 8.314 J/mol/K = 0.08205 Latm/mol/K kB =1.38 x10-23 J/K h = 6.626×10-34 J s c = 3x108 m/s 1 cm-1 = 1.98x10-23 J STP = 298 K, 1bar (105 N/m²) 12 3The internal energy of a system A None of these В is the sum of the rotational, vibrational, and translational energies of all of its components refers only to the energies of the nuclei of the atoms of the component molecules D is the sum of the kinetic energy of all of its components E) is the sum of the potential and kinetic energies of the components
- The four lowest electronic levels of a Ti atom are 3F2, 3F3, 3F4, and 5F1, at 0, 170, 387, and 6557 cm−1, respectively. There are many other electronic states at higher energies. The boiling point of titanium is 3287 °C. What are the relative populations of these levels at the boiling point? Hint: The degeneracies of the levels are 2J + 1.(1) The molecules in a thermally equilibrated isolated system are confined to just the two (non-degenerate) energy levels. lowest (a) Write down an expression for the partition function q of this system if the energy levels are separated by an amount ɛ. (b) If q = 1.142, determine the temperature of the system if the two energy levels are separated by 8 kJ/mol. (c) What is q in the limit of very high temperatures?Name the thermodynamic state function that is a measure of randomness or can also be defined as "Energy spontaneously disperses from being localized to becoming spread out if it is not hindered from doing so."