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Tutorial # A. Name Which element is described by each of the following? (Place each part letter (a, b, c, etc.) in the correct element box in the blank periodic table below). a) smallest atomic radius in group 15. (Nitrogen) b) largest atomic radius in period 3. (Sodium) c) highest first ionization energy in group 14. (Carbon) d) group 13 element that forms the most basic oxide. (Thallium) e) period 4 transition element that forms a 3+ diamagnetic ion. (Scandium) f) period 5 element that forms 3+ ion with a “pseudo-rare-gas” configuration. (Indium) g) whose ground state electron configuration is [Ne]3s23p2. (Silicon) h) ground state electron configuration is [Kr]5s24d6. (Ruthenium) i) least metallic in Group 15. (Nitrogen) j) a period 4 transition metal element that forms a 2+ ion with a half-filled d sublevel. (Manganese) k) name any two of the above elements for 1 bonus mark!! Tutorial # B. Name Which element is described by each of the following? (Place each part letter (a, b, c, etc.) in the correct element box in the blank periodic table below). a) smallest atomic radius in group 17. (Fluorine) b) smallest atomic radius in period 4. (Krypton) c) lowest first ionization energy in group 18. (Radon) d) group 14 element that forms the most basic oxide. (Lead) e) period 4 transition element that forms a 2+ diamagnetic ion. (Zinc) f) period 4 element that forms 3+ ion with a “pseudo-rare-gas” configuration. (Gallium) g) whose ground state electron configuration is [Ar]4s13d10. (Copper) h) ground state electron configuration is [Kr]5s24d6. (Ruthenium) i) least metallic in Group 13. (Boron) j) a period 4 transition metal element that forms a 2+ ion with a half-filled d sublevel. (Manganese) k) name any two of the above elements for 1 bonus mark!! Tutorial # C. Name Which element is described by each of the following? (Place each part letter (a, b, c, etc.) in the correct element box in the blank periodic table below). a) smallest atomic radius in group 17. (Fluorine) b) largest atomic radius in period 3. (Sodium) c) highest first ionization energy in group 18. (Helium) d) group 14 element that forms the most basic oxide. (Lead) e) period 4 transition element that forms a 3+ diamagnetic ion. (Scandium) f) period 5 element that forms 3+ ion with a “pseudo-rare-gas” configuration. (Indium) g) whose condensed electron configuration is [Ne]3s23p2. (Silicon) h) ground state electron configuration is [Kr]5s24d6. (Ruthenium) i) least metallic in Group 14. (Carbon) j) a period 4 transition metal element that forms a 2+ ion with a half-filled d sublevel. (Manganese) k) name any two of the above elements for 1 bonus mark!! A2. a) Write down the principle and orbital angular momentum quantum numbers (n and l, respectively) for each of these orbitals and state how many electrons each sub-level can accommodate. 3s - n=3, l=0 : 2 electrons 3p - n=3, l=1 : 6 electrons 3d - n=3, l=2 : 10 electrons b) Below is are plotted the radial probability distribution functions for the 3s, 3p and 3d orbitals. Note that the angular nodes are not shown in these types of plots. For a one electron atom, such as hydrogen, the 3s, 3p and 3d orbitals are degenerate. However, for a many-electron atom the energy levels split. Briefly explain, referring to this figure, how penetration affects the energy splitting of the 3s, 3p and 3d orbitals for a many-electron atom. From the diagrams above it can be seen that the 3s electrons penetrate very close to the nucleus (the smallest and second smallest maxima), closer than the 3p electrons, which penetrate closer than the 3d electrons. In a many electron atom, since the 3s electron spends time closer to the nucleus than the 3p electron it is lower in energy or more stable due to the greater electron-nucleus attraction. Similarly, the 3p electrons are more stable than the 3d electrons. The orbitals within the same shell are, therefore, no longer degenerate in a manyelectron atom. B2. a) Write the complete electron configuration for argon (Ar), which has 18 electrons. 1s22s22p63s23p6 b) Both Ni (28 electrons) and Cu (29 electrons) have [Ar] as the “core” electron configuration. Write condensed electron configurations and orbital diagrams (showing all electrons other than the first 18) for both Ni and Cu. Ni [Ar]4s23d8 or [Ar]3d84s2 [Ar] 3d 4s Cu [Ar]4s13d10 or [Ar]3d104s1 [Ar] 3d B3. 4s a) Briefly explain i) the main problem associated with the Rutherford model of the atom and ii) how Bohr’s model overcame this problem. i) The Rutherford model of the atom had electrons orbiting the nucleus. However, classical physics predicted that a charged particle travelling in a circular orbit would emit light, losing energy, and spiral into the nucleus. The atom and thus matter would be unstable. ii) Bohr used the idea of quantization to overcome the problem with Rutherford’s model. He postulated that the electrons in an atom are confined only to specific energy levels and cannot exist in states between these allowed energy levels. b) Briefly describe the problems associated with the Bohr model of the atom. The Bohr model of the atom states that the electron orbits the nucleus in a clearly defined orbital. However, the uncertainty principle states that if we know the energy with any certainty it is impossible to know the position with any certainty. Another problem with the Bohr model is that it only works for the hydrogen atom or hydrogen-like ions (with one electron). C2. a) Write the complete electron configuration for argon (Ar), which has 18 electrons. 1s22s22p63s23p6 b) Both vanadium (V, 23 electrons) and chromium (Cr, 24 electrons) have [Ar] as the “core” electron configuration. Write condensed electron configurations and orbital diagrams (showing all electrons other than the first 18) for both V and Cr. V [Ar]4s23d3 or [Ar]3d34s2 [Ar] 3d Cr 4s [Ar]4s13d5 or [Ar]3d54s1 [Ar] 3d C3. 4s Below is are plotted the radial probability distribution functions for the 3s, 3p and 3d orbitals. Note that the angular nodes are not shown in these types of plots. For a one electron atom, such as hydrogen, the 3s, 3p and 3d orbitals are degenerate. However, for a many-electron atom the energy levels split. Briefly explain, referring to this figure, how penetration affects the energy splitting of the 3s, 3p and 3d orbitals for a manyelectron atom. From the diagrams above it can be seen that the 3s electrons penetrate very close to the nucleus (the smallest and second smallest maxima), closer than the 3p electrons, which penetrate closer than the 3d electrons. In a many electron atom, since the 3s electron spends time closer to the nucleus than the 3p electron it is lower in energy or more stable due to the greater electron-nucleus attraction. Similarly, the 3p electrons are more stable than the 3d electrons. The orbitals within the same shell are, therefore, no longer degenerate in a manyelectron atom.