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Please show step-by-step along with calculations, using the formula attached Question Apply the Inverse Square Law (to determine the extraterrestrial solar flux at
Please show step-by-step along with calculations, using the formula attached
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Apply the Inverse Square Law (to determine the "extraterrestrial solar flux" at the Earth using the Sun's radiant exitancefound in Question 2. Earth (T=300 K) and the Sun (T=5778 K)
d? 02 : G1 6122 where G is the light intensity {or flux) at distance d1, and 62 is the light intensity at distance d2. Ifwe take G as the radiative energy flux at the surface ofthe Sun, we can then estimate the radiative energy flux at the Earth's orbit (62) using this equation simply based on the planetary distances. Try to make this calculation with d1 being the Sun's radius, and d2 being the distance from the Sun to the Earth and see what you get. You will have a chance to share your result in the Lesson 3 Activity further in this lesson. Computational Inputs: Calculate: radiant exitance . thermal emissivity: 1 >> temperature: 300 Compute Input information Stefan-Boltzmann law thermal emissivity 1 temperature 300 K (kelvins) Result More units radiant exitance 459.3 W/m (watts per square meter) = 45.93 mW/cm (milliwatts per square centimeter) = 0.4593 kW/m? (kilowatts per square meter) Equation M=EGT4 M radiant exitance thermal emissivity temperature Stefan-Boltzmann constant (= 5.67 x 10- w/(m K*)) Blackbody information e (v) IR UV spectral radiance (A) spectral radian 5000 10 001 5 00(20 0025 000 200 400 600 800 1000 1200 wavelength (nm) frequency (THE) peak wavelength 9.659 um (micrometers) peak frequency 17.64 THz (terahertz) Sources & Download Page POWERED BY THE WOLFRAM LANGUAGEComputational Inputs: Calculate: radiant exitance . > thermal emissivity: 1 >> temperature: 5778 Compute Input information Stefan-Boltzmann law thermal emissivity 1 temperature 5778 K (kelvins) Result More units radiant exitance 6.32 x 10' W/m? (watts per square meter) = 6.32 kW/cm (kilowatts per square centimeter) = 63.2 W/mm (watts per square millimeter) Equation M = 80 74 M radiant exitance thermal emissivity T temperature Stefan-Boltzmann constant (= 5.67 x 10- w/(m K*)) Blackbody information UV IR IR UV spectral radiance (v) spectral radiance (A) 200 400 600 800 100012001400 200 400 600 800 1000 1200 wavelength (nm) frequency (THE) perceived color peak wavelength 501.5 nm (nanometers) peak frequency 339.7 THz (terahertz) Sources Download Page POWERED BY THE WOLFRAM LANGUAGEStep by Step Solution
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