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Chemistry

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Jan 9, 2024

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Chapter 6: Homework 6.1 and 6.2 The Wave Nature of Light; Quantized Energy and Photons 1. Given the frequency of radiation, determine the wavelength in meters a. 1.12x10 14 Hz b. 4.65x10 14 Hz c. 6.778x10 13 Hz d. 2.72x10 9 Hz e. 9.56x10 -2 Hz 2. Given the wavelength, find the frequency in Hz a. 2.33x10 -7 m b. 635 nm c. 3.21x10 -9 m d. 789 nm e. 1.09x10 -5 m 3. Given the frequency or wavelength, calculate the energy a. 6.63x10 -7 m b. 239 nm c. 2.34x10 14 Hz d. 8.98x10 12 Hz e. 5.54 cm 4. (6.12 Brown) Ozone in the upper atmosphere absorbs energy in the 210-230 nm range of the spectrum. In what region of the electromagnetic spectrum does this radiation occur? 5. (6.18 Brown) a. What is the frequency of radiation whose wavelength is 5.0x10 -5 m? b. What is the wavelength (in m) of radiation that has a frequency of 2.5x10 8 s -1 ? c. What distance does electromagnetic radiation travel in 10.5 nanoseconds? 6. (6.19 Brown) An argon ion laser emits light at 532 nm. What is the frequency of this radiation? Using figure 6.4, predict the color associated with this wavelength. 7. (che 3) a. Calculate the frequency of radiation with a wavelength of 4.92 cm. b. Calculate the frequency of radiation with a wavelength of 4.55 x 10¯ 9 cm. 8. (che 4) If it takes 3.36 x 10 -19 J of energy to eject an electron from the surface of a certain metal, calculate the longest possible wavelength, in nanometers, of light that can ionize the metal. 1
Chapter 6: Homework 9. Answer the following questions a. Calculate the energy of a photon of electromagnetic radiation whose frequency is 8.95x10 10 s -1 b. Calculate the energy of a photon of radiation whose wavelength is 626 nm c. What wavelength of radiation has photons of energy 4.75x10 -19 J? More book problems: 17, 19, 23, 25 ; sample exercises 6.2, 6.3 6.3 and 6.4 Bohr’s Model; Matter Waves 10. (6.43 Brown) Use the de Broglie relationship to determine the wavelengths of the following objects (HINT: watch your units; 1J=1kg*m 2 /s 2 ) a. An 85 kg person skiing at 50.0 km/hr b. A 10.0g bullet fired at 250 m/s c. A lithium atom moving at 2.5x10 5 m/s (Hint: need to use molar mass of Li) d. An ozone (O 3 ) molecule in the upper atmosphere moving at 550 m/s More book problems: sample exercise 6.5 6.5 and 6.6 Quantum Mechanics and Atomic Orbitals 11. (6. 51 Brown) a. For n=4, what are the possible values if l? b. For l=2, what are the possible values of m l ? c. If m l is 2, what are the possible values for l? 12. (6.54 Brown) Give the values for n, l, and m l , for a. Each orbital in the 2p subshell b. Each orbital in the 5d subshell 13. Circle each of the following that represent an acceptable set of quantum numbers for an electron in an atom n l m l m s 2 2 -1 -1/2 1 0 0 1/2 3 2 2 3/2 0 0 0 1/2 2 1 -2 -1/2 3 2 0 1/2 n l m l m s 3 2 -1 -1/2 1 0 -1 1/2 3 1 -2 3/2 2 0 0 1/2 2 0 -2 -1/2 3 2 0 1/2 2
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