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Chemistry I Accelerated Study Guideline - Chapter Five Electrons in Atoms ____________________________________________________ By the end of this chapter, the skills you should be able to demonstrate are: 1. Use the Bohr model to explain atomic emission spectrum. 2. Explain the relative wavelength, frequency and energy of the eight parts of the electromagnetic spectrum. 3. Calculate wavelength, frequency or energy when given one of the three. 4. Describe the contributions of Bohr, Heisenburg, de Broglie, and Schrödenger to quantum theory. 5. Descibe wave-mechanical model of the the atom. 6. Explain the theory of atomic emission spectra using quantum theory. 7. Describe an electron cloud. 8. Compare Dalton’s, Thomson’s, Bohr’s and the de Broglie/Schrödinger’s models of the atom. 9. Explain the significance of quantized energies and the quantum mechanical model of the atom. 10. Characterize the four quantum numbers. 11. Use the Pauli exclusion principle and quantum numbers to describe an electron in an atom. 12. Describe the general shape of s, p and d orbitals. 13. Apply the Aufbau principle, Pauli exclusion principle, and Hund’s rule in writing electron configurations for atoms. 14. Explain why the electron configurations for Cr and Cu differ from those assigned using the standard protocol. 15. Write electron dot diagrams for elements. Suggested Problems: p.149-151: #26, 40, 48, 54, 56, 74 page 1 Bill Nye - Waves PLEASE ANSWER THE FOLLOWING QUESTION WHILE YOU WATCH THE VIDEO 1. Define the following terms: Wavelength Frequency Amplitude 2. How does energy travel? 3. What is the relationship between frequency and wavelength? 4. What is different about each color of the spectrum? 5. What are some examples of electromagnetic waves? 6. What is the relationship between frequency and energy? page 2 Waves Light travels through space by means of waves. Each wave has a frequency (n), a wavelength (l) and an amplitude. The figure below represents a light wave. Label the wavelength and the amplitude. 1. What is the wavelength (in meters) of the wave? 2. If the frequency is 6.00 x 101 4/sec what is the product of the wavelength times the frequency? 3. What is the significance of the value just calculated? 4. Write a mathematical expression of what you have just found. 5. The light in the figure corresponds to green light. Describe how the value of the wavelength would differ if the light were red. 6. How would the frequency of red light compare to that of green light? 7. How would the value of the product of the wavelength times the frequency for red light compare to that of green light? Explain. 8. How do the energies of green and red light compare? What equation expresses this relationship? page 3 Electromagnetic Radiation 1. The speed of light in a vacuum is _______________ meters per second. 2. All waves can be described in terms of their amplitude, frequency and ____________________. 3. Early in the last century, scientists found that light has the characteristics of both waves and ____________. 4. The ______________ of a wave is the number of complete waves passing a fixed point in a given time. 5. The wavelength of microwave radiation is ______________ than the wavelength of visible light. 6. The color of visible light that has the longest wavelength is ______________. 7. A heat lamp produces ______________ radiation. 8. A wave with a high frequency has a ______________ wavelength. 9. What is the frequency of a beam of blue light with a wavelength of 595 nanometers? Type of Radiation Description of Wave 1. _________________________________ 2. _________________________________ 3. _________________________________ These waves have a long wavelength and a low frequency 4. _________________________________ 5. _________________________________ These are the colors of the visible spectrum (wavelengths between 750 and 400 nm). 6. _________________________________ 7. _________________________________ Increasing Wavelength 8. _________________________________ page 4 These waves have a short wavelength and a high frequency. Wavelength/Frequency/Energy Practice Problems h = 6.626 X 10–34 J•s c = 3.00 X 108 m/s E = hν 14 1. What is the energy of light with a frequency of 4.31 X 10 λ =c/ν Hz? 2. A certain violet light has a wavelength of 413 nm. What is the frequency and the energy of the light? –14 3. Gamma rays have a wavelength of 5.00 X 10 rays? meters. What is the energy and the frequency of gamma 4. Public Radio in NYC broadcasts at 820 Kilohertz. What is the energy and wavelength of their broadcast? page 5 Light and Energy Levels of the Atom The quantum level occupied by an electron in an atom depends on the energy of the electron. Changes in quantum level are related to the absorption or emission of energy. The figure below represents the four lowest energy levels of an atom (n = 1 to 4). The six lettered arrow represent changes in the energy level of an electron. 4 3 A B C D E F 2 1 1. Which of the lettered energy changes involve the absorption of energy by the atom? _____________ 2. Which of the lettered energy changes involve the emission of light energy by the atom? _____________ 3. Of the three lettered energy changes that involve emission one results in emission of blue light, one results in emission of yellow light, and one results in emission of UV light. Which one is blue __________? Which one is yellow __________? Which one is UV __________? Quantum Theory If the statement is true write true. If it is false, change the underlined word(s) to make the staement true. ___________ 1. We are not aware of quantum effects in the world around us because quanta of light energy are very large. ___________ 2. In sodium metal, violet light causes the photoelectric effect but red light does not because photons of violet light have less energy than those of red light. ___________ 3. In the photoelectric effect, protons are ejected from the surface of a metal when light shines upon it. ___________ 4. We are constantly surrounded by low frequency X-rays. ___________ 5. Plank’s theory relate frequency of radiation to its energy. ___________ 6. The wavelengths of radiation emitted by a hot object shift as its temperature increases. ___________ 7. The dual nature of light means that light has the properties of a charge and a wave. 8. Explain using a set if stairs and a ramp the difference between a continuous change and a quantized change. page 6 The Modern Atom 1. Every element has a uniquely characteristic atomic _____________ spectrum. 2. Heisenberg’s uncertainty principle states that the position and _______________ (speed in a direction) of an electron can not be measured and known at the same time. 3. ___________ used Balmer’s idea of energy quantization to explain the line spectrum of hydrogen. 4. Each __________ _________ is labeled with a primary quantum number. 5. An electron that absorbs a quantum of energy jumps to a level of _______________ energy called an excited state. 6. _______________ is emitted when an electron falls back to a lower energy level. 7. A(n) _______________ is a region in space where an electron with a particular energy is likely to be found. 8. Each electron is described by _______________ quantum numbers. 9. The ________ ___________ _________ states that each orbital can only hold two electrons and that these electrons must have opposite spins. 10. The modern model of the atom is called the ____________–____________ model. 11. The Bohr model is inaccurate because each electron has no definite _______________. 12. De Broglie derived a mathematical relationship between mass and velocity of a moving particle and showed that the particle would also show ________–________ behavior. 13. Sodium emits _______________ light. 14. An electron cloud is an area where there is the _______________ likelihood of finding an electron. 15. The first orbital in each principle energy level is a(n) _______________. 16. P orbitals are _______________ shaped and have _______________ lobes. 17. The 3s orbital differs from the 2s orbital in that it is _______________. 18. The number of sublevels in each principle energy level equals the number of the ______________ ____________. 19. The f sublevel is first found on the _______________ energy level. Sublevel Number of Orbitals Maximum Number of Electrons s p d f page 7 Electron Configurations 1. Identify the element that has each of the following electron configurations: 2 2 3 2 2 6 2 3 2 2 6 2 6 2 1 2 2 6 2 6 2 10 2 2 6 2 6 2 10 a. 1s 2s 2p ________ b. 1s 2s 2p 3s 3p ________ c. 1s 2s 2p 3s 3p 4s 3d d. 1s 2s 2p 3s 3p 4s 3d e. 1s 2s 2p 3s 3p 4s 3d ________ 6 2 10 6 2 10 4p 5s 4d 4p 5s 4d ________ 6 2 5p 6s 4f 14 6 5d ________ 2. Write out the electron configuration for each of the elements. Note how many paired and unpaired electrons each has. a. lithium electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ b. potassium electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ c. silicon electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ d. cobalt electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ e. sulfur electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ f. vanadium electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ g. selenium electron configuration __________________________________________________________ number of paired electrons ________ number of unpaired electrons page 8 ________ h. mercury electron configuration __________________________________________________________ __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ i. bismuth electron configuration __________________________________________________________ __________________________________________________________ number of paired electrons ________ number of unpaired electrons ________ j. mendeleevium electron configuration __________________________________________________________ __________________________________________________________ number of paired electrons ________ number of unpaired electrons 3. Draw the orbital diagram for each of the following: a. Oxygen b. Neon c. Magnesium d. Potassium e. Aluminum f. Phosphorus g. Argon page 9 ________ h. scandium i. Iodine 3+ j. B 2+ k. Si l. As 3– – m. Br True/False: If the statement is true write “True”; if it is false change the underlined word(s) to make the statement true. _________ 1. The Pauli exclusion principle states that an orbital can hold a maximum of two electrons _________ 2. The sum of the superscripts in an electron configuration represents the total number of neutrons in the atom. _________ 3. The Aufbau principle states that electrons are added one at a time to the highest energy orbitals available until all the electrons of the atom have been accounted for. _________ 4. An orbital diagram uses arrows to represent the spin of the electrons. _________ 5. The ground state is the least stable energy state of the atom. _________ 6. According to Hund’s rule, electrons occupy equal energy orbitals so that a maximum number of unpaired electrons results. page 10 Challenge Problems - Electrons 1. In a photoelectric effect experiment a student shines a light of greater than the threshold frequency upon the surface of the metal. She observes that after a long time the number of ejected electrons begins to decline. Can you explain why? 2. Look up the electron configuration of rhodium. Why is it exceptional? Explain. 3. Draw the orbital diagram for copper. 4. How many lobes will the f orbitals have? Explain. page 11 Atoms and Waves Crossword ACROSS 1. Mathematical or Chemical expression 5. The last element in the righthand column of the periodic table 6. Element that has 16 protons and 16 electrons 9. Energy needed to remove an electron from an atom 16. Height of a crest 17. Symbol for an element that has 22 protons and 22 electrons 18. Number of electrons in an H+ ion 19. As wavelength increases, frequency and energy ______________ 20. For an atom to become positively charged, it must ___________ electrons 21. Without net charge 22. Number of electrons in a neon atom 24. Negatively charged subatomic particle 25. Is made up of photons DOWN 2. Discreet packets of or levels of energy 3. Total number of electrons that can be held in the 3d sublevel of an atom 4. Greek letter symbol for frequency 6. The nearest star 7. Number of waves per unit time 8. Color of light which has the highest energy 10. Wave location for which amplitude is zero 11. Blue stars have a higher value of this than do red stars 1 12. Region of space in which an electron is likely to be found 13. An atom in the lowest energy state is in the ___________ state 14. Distance between crests 15. Device that produces a beam of electrons: cathode-ray-___________ 20. An energy state is also called an energy ______ 22. Number of electrons that can exist in an orbital 23. Same as 4 Down 2 3 4 5 6 7 8 9 10 11 12 14 13 15 16 17 18 19 20 21 22 24 25 page 12 23