Chapter7-1

Sailor uc san diego problem particle wave duality of

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Unformatted text preview: of an electron (mass = 9.11 x 10-31 kg) and a baseball (mass = 0.1 kg) traveling at the same speed of 35 m/s? 16 Chem 6A Michael J. Sailor, UC San Diego Solution: Particle-wave duality of matter h λ= for an electron mv −34 2 9 6.626 × 10 kg ⋅ m / s 10 nm λ= × = 21,000nm −31 9.11 × 10 kg ⋅ 35m / s 1m h λ= for a baseball mv 6.626 × 10−34 kg ⋅ m2 / s 109 nm −25 λ= × = 1.9 × 10 nm 0.1kg ⋅ 35m / s 1m 17 Chem 6A Michael J. Sailor, UC San Diego Problem: Photochemistry The energy of the O-O bond in O2 is 496 kJ/ mol. What is the maximum wavelength of a photon of light that can split the oxygen bond? a) 241 nm b) 330 nm c) 410 nm -10 nm d) 6.0 x 10 e) none of the above 18 Chem 6A Michael J. Sailor, UC San Diego Solution: photochemistry Energy in a bond: 496 kJ mol mol 6.02x1023 molecule = 8.24x10-19 J/molecule E= hc/λ λ = hc/E = molecule 8.24x10-19 J 6.626x10-34 J sec 1000J kJ 3x108 m sec = 2.41 x 10-7 m = 241 nm 19 Chem 6A Michael J. Sailor, UC San Diego Discrete vs Continuous Spectra White Light Spectrum 400 Ne Line Spectrum 450 500 550 Wavelength, nm 600 20 Chem 6A Michael J. Sailor, UC San Diego UVA and UVB 21 Chem 6A Michael J. Sailor, UC San Diego UVA and UVB UVA = 400 nm–315 nm UVB = 315 nm–280 nm UVC = 280 nm–100 nm 21 Chem 6A Michael J. Sailor, UC San Diego Fri, Oct 22 22 Chem 6A Michael J. Sailor, UC San Diego Problem: Energy of electronic transitions Calculate the wavelength of a photon emitted when an electron falls from the n = 3 state to the n = 2 state in the hydrogen atom. 23 Chem 6A Michael J. Sailor, UC San Diego Solution: Wavelength of electronic transitions The Rydberg equation (7.3, pg 221 in text) 1 1 1 = RH 2 − 2 λ n1 n2 RH = 1.097 x 10-2 nm-1, n1 = 2 and n2 = 3 1 1 1 1 −2 −2 1 = 1.097 × 10 2 − 2 = 1.097 × 10 − 2 3 € 4 9 λ λ = 656 nm 24 Chem 6A Michael J. Sailor, UC San Diego Problem: Energy of electronic transitions One of the emission lines from the star σ Ori AB in the constellation Orion occurs at a wavelength of 486.3 nm. The line arises from atomic hydrogen...
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This note was uploaded on 08/31/2011 for the course CHEM 6A taught by Professor Pomeroy during the Winter '08 term at UCSD.

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