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Labs 3 & 4 - Lab 3 Radiation and Energy Transfer...

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Lab 3: Radiation and Energy Transfer E*(I) = Black body energy radiation σ = (Constant) E* = σ T 4 5.67 x 10 -8 W/m -2 / K -4 T = temperature in Kelvin α = albedo (“reflectivity”) 0.30 S o = (Solar constant) 1376 W/m 2 R earth = (earth’s radius) 7 x 10 8 m λ max = (Wien’s displacement) 2897[ µ m K] /T λ max = (wavelength of peak emissions) = λ (lambda) = wavelength μ = (mu) micro, or one-millionth λ max = 2897[μm K] /T λ sun = 3000μm K = .05 μm 6000 K R sun = 7 x 10 8 m A= (area) 4 π R 2 F = (flux)
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L= (luminosity) F4 π R 2 or (4 π R2) σ Part 1: Radiation from the Sun 1. E* = (1 - ) α σ T 4 = (5.67 x 10 -8 ) / (5780) -4 = (5.67 x 10 -8 ) / (1.12 x 10 15 ) E*(I) = 6.33 x 10 7 W/m 2 The incident radiant flux of the sun (irradiance) = 6.33 x 10 7 W/m 2 . 2. R sun = 7 x 10 8 m (4 π R 2 ) σ T 4 = 4 ( π 7 x 10 8 ) 2 x (6.33 x 10 7 ) = (6.61 x 10 18 ) x (6.33 x 10 7 ) = 4.18 x 10 26 W The total power emitted from the sun is 4.18 x 10
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