8 - CHEMISTRY 121 Problem Set 8 Answers 1. Atomic Structure...

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CHEMISTRY 121 1 Department of Chemistry University of British Columbia Problem Set 8 Answers Atomic Structure I 1. Which one of the following statements is true? (a) the product of the wavelength and frequency of light is a constant (b) as the photon energy increases, the corresponding frequency of the radiation decreases (c) as the wavelength of light increases, the frequency increases (d) red light has a higher frequency than blue light (e) none of the above The answer is (a). (a) λν = c = 3.00 × 10 8 m/s, a constant. (b) E = h ν . As energy increases, the frequency of light increases . (c) ν = c/ λ . As the wavelength of light increases, the frequency of light decreases . (d) Red light is of lower energy (larger wavelength) than blue light and thus has a lower frequency. 2. Einstein’s work on the photoelectric effect provided support for the equation: (a) KE = (1/2)mu 2 (b) E = h ν (c) E = mc 2 (d) λ = h/mu (e) ν = c/ λ The answer is (b). 3. Calculate the energy (in J) of one photon of electromagnetic radiation with frequency 5.8 × 10 15 s -1 . The answer is: 3.84 × 10 -18 J E = h ν = (6.626 × 10 -34 J·s) × (5.8 × 10 15 s -1 ) = 3.84 × 10 -18 J 4. Calculate the wavelength (in nm) of electromagnetic radiation with energy 200 kJ/mol. The answer is: 598 nm. The energy of one photon is: E = J 10 3.32 mol 10 6.02 Jmol 10 200 19 1 23 1 3 × = × ×
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CHEMISTRY 121 2 Department of Chemistry University of British Columbia λ = nm 598 m 10 5.98 J 10 3.32 ) s m 10 (3.00 s) J 10 (6.626 E hc 7 19 1 8 34 = × = × × × × = 5.
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This note was uploaded on 11/03/2009 for the course ECON 210 taught by Professor James during the Spring '09 term at UBC.

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8 - CHEMISTRY 121 Problem Set 8 Answers 1. Atomic Structure...

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