CH101 SPRING 2014 MID TERM REVIEW QUESTIONS (CHAPTERS 3-6) SOLUTIONS
1. A gold nucleus is located at the origin of coordinates, and an electron is brought to a position exactly 2 Å from the origin.
(a) Calculate the force between the gold nucleus and the electron.
(b) Calculate the potential energy of the gold nucleus and the electron.
The unit of electronic charge e is 1.602 x 10-19 C and the permitivity of vacuum constant 0 is 8.854 x10-12 C2J-1m-1.
2. Write the best Lewis diagram for the sulfite anion SO32-.
3. Write down Lewis diagrams, with formal charges on all atoms, for the molecules cyanic acid (HOCN) and fulminic acid (HCNO). State which molecule is likely to be the more stable.
4. Write resonance structures for the carbonate ion (CO32-) and comment on the C-O bond length in real carbonate salts.
5. Arrange the following in order of bond strength.
(a)HCl; HF; HBr; HI
(b)O2; F2; N2
6. Use the VSEPR theory to determine the shape of the xenon tetrachloride (XeCl4) molecule. State whether XeCl4 is polar or nonpolar.
7. Determine the excited electronic state of Li2+ that has the same energy as the first excited state of hydrogen. [RH (Rydberg constant) = 3.29 x 1015 /s; c (speed of light) = 3.00 x 108 m/s; h (Planck’s constant) = 6.626 x 10-34 Js]
8. Determine the maximum wavelength of light that is needed to eject electrons from the surface of sodium, if the work function of sodium is 4.41 x 10-19 J.
[Planck’s constant h = 6.626 x 10-34 Js; speed of light c = 2.998 x 108 m/s]
9. Sketch the plot of radial distribution function (r2[R(r)]2) versus r for 1s, 2p, 3d and 4f orbitals, relating the value of r for the maximum value of the function with a0, the Bohr radius.
10. Give n, l, number of orbitals, number of radial nodes and number of angular nodes for the orbitals, 3s, 2p, 6d, 5f and 5p.
Orbital / n / l / No. orbitals / No. radial nodes / No. angular nodes3s
2p
6d
5f
5p
11. (a) For each of the following pairs of atoms, state which you would expect to have the higher first ionization energy.
(i) Bi or Xe (ii) Se or Te (iii) Rb or Y (iv) K or Ne.
(b) For each of the following pairs of atoms, state which you would expect to have the higher electron affinity.
(i) Rb or Sr (ii) I or Rn (iii) Ba or Te (iv) Bi or Cl.
12. Photoelectron spectroscopy studies have determined the orbital energies of atomic chlorine to be (in eV) –2835, –273, –205, –21, and –10. Assign these energies to the orbitals of Cl and estimate the value of Zeff for Cl for each of these orbitals. Assume 1 rydberg = 13.61 eV.
13. Sketch MO energy diagrams (omit AOs: just give identities and relative energies of MOs) for the following species, and arrange them in order of increasing bond order. BC, OF-, N2-, NO+, BN.
14. Sketch the LCAO correlation diagram for NH and predict its magnetic properties.
15. Use MO theory to predict which of the following has the strongest bond: NO+, N2+, O2+. Identify and sketch the MO boundary surface of the NO+ highest occupied MO (HOMO).
16. (a) Write simple VB wave functions for the diatomic molecules B2 and O2. State the bond order predicted by the simple VB model and compare with the LCAO bonding predictions.
(b) How do other predictions by the VB and LCAO models compare for these molecules?
17. Use the Valence Bond theory to sketch the molecule allene (CH2=C=CH2), showing hybridization modes of C, types of sigma bonds, and pi bond formation.
18. Formulate the VB/MO structure of NO2+ for localized bonds and delocalized bonds.
(a) Describe its shape.
(b) Assign it as paramagnetic or diamagnetic.
(c) Compare with NO2 and NO2-.
True/False type questions for chapters 3-6
Determine whether the following statements are true or false. Write T or F in the boxes adjacent to the questions. (2 points for each correct answer, -1 point for each incorrect answer and 0 for no answer)
(i) Xenon difluoride is a V-shape polar ( > 0) molecule.
(ii) 1,2,3-butatriene (C4H4) is a planar molecule with sp and sp2 hybridized carbon atoms.
(iii) The diagrams below represent the VB boundary surfaces of the bonds in CO2.
(iv) The ion HHe- has a bond order of zero, according to the LCAO-MO theory and hence should be unstable.
(v) Addition of an electron to C2 leads to increased stability (higher bond energy), according to the LCAO-MO theory.
(vi) For the lithium atom, the principal quantum number (n) completely defines the energy of a given electron.
(vii) Elements with very high first ionization energies tend to have negative electron affinities (often assigned <0).
(viii)The ground state electronic configuration of Cu is [Ar]4s23d9.
(ix) The ground state electronic configuration of As3+ is paramagnetic.
(x) The transition elements of the 6th period (Hf-Hg) have somewhat higher first ionization energies than those of the 5th period, due to prior filling of the 4f orbitals, which are less effective at screening the outer electrons from the nuclear charge than d orbitals.
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