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Unit 2: Atoms and their Electrons Useful formula: c = f where c= 3.00 x 108 m/s E = hf where h = 6.626 x 10-34 Js 1/ = Rh ( 1/n12 – 1/n22) where Rh = 1.097 x 107 m-1 = h/mv where m is mass in kg an v is velocity in m/s Answer the following questions: 1. What is the wavelength of light that has a frequency of 4.72 x 1014 s-1? 2. Calculate the energy of light that has a frequency of 7.28 x 1014 s-1? 3. What is the energy of a mole of photons with a wavelength of 1250 nm? 4. How many photons of light with a wavelength of 601 nm are required to produce a total energy of 251 J? 5. Calculate the wavelength, frequency and energy of the spectral line produced when an electron in a hydrogen atom goes from n=5 to n=2 6. What is the quantum number that describes the average distance of an electron from the atoms nucleus? 7. What is the number of unpaired electrons in a ground state oxygen atom? 8. Which type of subshell consists of a set of five equivalent orbitals? What is the quantum number and its value for this type of orbital? 9. State the Aufbau and Pauli Exclusion Principle, and Hund’s Rule. 10. Write the electron configuration of Br. 11. Write the electron configuration of Cu. 12. Write the electron configuration of Fe3+. 13. Write the electron configuration of N3-. 14. Arrange the following list in order of decreasing first ionization energy. F Br Se Te Sb 15. Arrange the following list in order of increasing atomic size. Explain your reasoning. P K S Na Cl 16. Arrange the following list in order of decreasing size. Ar Cl1Ca2+ S2K+ 17. The first ionization energy of magnesium is 738 kJ/mol and its second ionization energy is 1450 kJ/mol. For sodium the first ionization energy is 496 kJ/mol and its second ionization energy is 4560 kJ/mol. Explain why the second ionization energy for sodium is nearly 10 times the first while for magnesium it is only about twice the first. 18. Write balanced chemical reactions for the following: a) sodium with water b) calcium with water c) potassium with bromine Answers: 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 6.36 x 10-7 m 4.82 x 10-19 J 9.57 x 104 J/mol 7.58 x 1020 photons = 4.34 x 10-7m , f = 6.91 x 1014 s-1 , E = 4.58 x 10-19 J the principle quantum number n 2 d orbitals, l = 2 Aufbau means from bottom up – orbitals are filled from the lowest energy level first and then up, Pauli Exclusion principle states that no two electrons in an atom can have all four quantum numbers the same, Hund’s rule states that electrons do not pair up to fill an orbital in a sublevel until all orbitals in the same sublevel are half filled. 1s22s22p63s23p64s2 3d104p5 1s22s22p63s23p64s1 3d10 1s22s22p63s23p64s2 3d6 13. 14. 15. 16. 17. 18. 1s22s22p6 F > Br > Se > Te > Sb Cl < S < P < Na < K . Sodium, phosphorus, sulfur and chlorine are all in the same period, therefore they all have the same number of shielding electrons and the effective nuclear charge increases based on the number of protons in the nucleus, therefore the atomic radius decreases from left to right across the period. Potassium is larger than sodium because not only does the number of protons increase but so do the number of shielding electrons as well as the number of layers of shielding electrons, increasing the distance the outer valence electrons are from the nucleus thereby making the atom larger than sodium. In this list all species contain 18 electrons, they are all isoelectronic with Ar. Therefore the more positive the charge the smaller the ion and the more negative the charge the larger the ion. S2- > Cl1- > Ar > K+ > Ca2+ Removing a second electron from sodium requires breaking a noble gas electron configuration. This configuration is extremely stable as is demonstrated by the large amount of energy required to remove the second electron from sodium. This is a 2p electron In contrast magnesium reaches the noble gas configuration by removal of the second electron which is 3s electron and takes less energy to remove than the 2p electron in sodium. However this is the second electron removed from the 3s orbital and it is more difficult to remove than the first because there is no longer any other valence electron repelling it. a) 2Na (s) + H2O (l) 2NaOH (aq) + H2 (g) Group 1 metals react with water to form a metal hydroxide and hydrogen gas. b) Ca (s) + 2H2O (l) Ca(OH)2 + H2 (g) Group 2 metals also react with water to form a metal oxide and hydrogen gas. c) 2 K (s) + Br2 (l) 2KBr (s) metal elements typically react with non-metal elements to form binary ionic substances