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Atomic theory Challenge Problems 1. a. Write the ground state electron configuration for a phosphorus atom. b. Give the quantum numbers for each of the valence electrons in a single phosphorus atom when it is in its ground state. c. Is an isolated phosphorus atom in its ground state paramagnetic or diamagnetic? Explain. d. Explain how the electron configuration of the phosphorus atom in the ground state consistent with the existence of the following compounds: Na3P, PCl3 and PCl5. 2. Three series of lines can be found in the Hydrogen atom. They include the ultraviolet (Lyman), the visible (Balmer), and the infrared (Paschen). a. Explain why the emission spectrum consists of several discrete lines and not a continuous spectrum. b. What quantity causes a line to be included in a particular series? What quantity distinguishes one series from another? c. Draw an energy level diagram for Hydrogen. On your diagram include the transition for the largest wavelength in the Balmer series. Explain why you chose this line. d. Explain the difference between an absorption spectrum and an emission spectrum. Explain why the absorption spectrum of Hydrogen at room temperature includes only the Lyman series. 3. Use periodic trends and modern atomic theory to explain each of the following: a. As the atomic number within a family increases, the atomic radius increases. b. The radius of the sodium ion is smaller than the radius of the sodium atom. c. The radius of an oxygen ion is larger than the radius of a fluoride ion. d. The ionization energy of fluorine is greater than lithium.