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- Q.1: The force constant of the bond in HCl is (516 N/m). Assuming the value of the force constant does not depend on the mass of the atoms in the molecule, calculate the fundamental vibrational frequency of each of the following: 'HCl. 'H'Cl and ?H*Cl. Q.2: The Interatomic Distance in the HCl Molecule The spacing, A(1 /2) between the lines in the rotational spectrum of HCI(g) is 20cm'.Calculate the distance between the nuclei (the length of the bond) in the HCl molecule.Arrange the following energies in order of increasing magnitude: a) the typical energy of a covalent single bond; b) the mean molecular translational energy for a gas at room temperature; c) the mean rotational energy of a diatomic molecule at room temperature; d) the vibrational energy for a diatomic molecule at room temperature; e) the ionization energy of H. Justify your order.4. The vibrational frequency of 'H³°C1 is 8.963 x 1013 Hz. What is the force X constant of the bond in this molecule?
- The frequency of vibration of a chemical bond is a function of which two (2) factors ?5. The energy of one electron in H-atom is 1.36 x10-19 J. Calculate the main electronic state. a.1b.7c.4d.2H2 has a vibrational frequency We = 4401.2cm-1 dissociation energy of %3D and a bond Do = 435.99k j/mol Treating the vibrations as harmonic, calculate how many H2 molecules in a 10.0 mol sample at 1000 K have enough energy to spontaneously dissociate. In Evib = Do other words, how many have ?
- 5. The fundamental vibrational frequencies for 1H19F and 2D19F are 4138.52 and 2998.25 cm-1, respectively, and De for both molecules is 5.86 eV. What is the difference in the bond energy (bond dissociation energy) of the two molecules? A) 0.567 eV B) 0.15 eV C) 0.0707 eV D) 0.254 eV559.7 cm¹, and a rotational constant, B = 0.244 cm ¹¹. 18. Chlorine has a vibrational constant, U = From this information, determine (a) the force constant and (b) the equilibrium bond length.Explain the importance of the quantization of vibrational, rotational, and translational energy as it relates to the behavior of atoms and molecules.
- How many normal modes (different types of vibrational motion) are predicted for the following substances (a) Ar (b) CO (c) CO2 (d) NH3?The vibrations of a CO2 molecule are symmetrical stretch, bend, and asymmetrical stretch (Figure ), with frequencies of 4.02x1013 s-1, 2.00x1013 s-1, and 7.05x1013 s-1, respectively. (a) What wavelengths correspond to these vibrations? (b) Calculate the energy (in J) of each vibration. Which uses the least energy?Asap