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Discussion 4 - key - Key for Discussion Worksheet 4 1...

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Key for Discussion Worksheet 4 1. Ultraviolet radiation and radiation of shorter wavelengths can damage biological molecules because they carry enough energy to break bonds within the molecules. A carbon-carbon bond requires 348 kJ/mol to break. What is the longest wavelength of radiation with enough energy to break a carbon-carbon bond? ( 29 ( 29 nm m x J x x s J x hc E c h E J x x mole kJ J mol kJ s m 344 10 44 . 3 10 779 . 5 10 9979 . 2 626 . 6 10 779 . 5 10 022 . 6 1000 348 7 19 8 34 19 23 = = = = = = = - - - - λ υλ υ 2. The binding energy of electrons in a metal is 193 kJ/mol. Find the frequency of the metal. Hz x s J x J x h E h E J x x mole kJ J mol kJ 14 34 19 19 23 10 84 . 4 10 626 . 6 10 205 . 3 10 205 . 3 10 022 . 6 1000 193 = = = = = - - - υ υ 3. The distance from the Earth to the sun is 1.5 x 10 8 km. Find the number of crests in a light wave of frequency 1.0 x 10 14 Hz traveling from the sun to the Earth. crests x km x km x km x m x Hz x x c c s m 16 9 8 9 6 14 8 10 0 . 5 10 998 . 2 10 5 . 1 10 998 . 2 10 998 . 2 10 0 . 1 10 9979 . 2 = = = = = = - - - υ λ υλ 4. What are the possible values for quantum number m l given the values of l? a. l = 0 m l = 0 b. l = 1 m l = -1, 0, +1
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