Lab 4_Heating the Earth and the Atmosphere 2

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Utah Valley University *

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1010

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Physics

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Apr 3, 2024

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METO 1010 Online Lab 4. Heating the Earth and the Atmosphere 2 Instructions: 1) Type your answers in this Microsoft Word file and save your completed lab on your computer. 2) Upload your lab on CANVAS by the due date. To upload the file, go to the course homepage and click on “assignments”. Click on the assignment that you want to submit, and on “submit assignment”. In the “file upload” box, click on “choose file” and select the appropriate file. Finally, click on “submit assignment”. Only .doc, .docx, and .pdf files are accepted. 3) In questions that require calculations, you are not required to show every step of your work, but the more detailed your answers are the more likely you are to receive partial credit for wrong answers. 4) Proper units and terminology are always necessary. 1 ) The Sun has an average surface temperature of approximately 6000 K. Calculate the power per unit area released by the surface of the Sun using Stefan-Boltzmann Law and report the value below. Units are a must . (2 points) Power per unit area released by the Sun= 6000 4 x 0.0000000567= 73,483,200 W/m 2 2) The radius of the Sun is 7·10 8 m. Calculate the total power released by the surface of the Sun and report the value below. Write the number is scientific notation and keep two decimal figures. Units are a must . (3 points) Hint: the surface area of a sphere is equal to 4πr 2 , where r is the radius Total power released by the Sun= 7·10 8 x 7·10 8 x 3.14 x 4 x 73,483,200= 4.52 x 10 26 W 3) The Earth has an average surface temperature of approximately 300 K. Calculate the power per unit area released by the surface of the Earth and report the value below. Keep two decimal figures. Units are a must . (2 points) 1

Power per unit area released by the Earth= 300 4 x 0.0000000567= 459.27 W/m 2 4) How many times warmer is the Sun than the Earth? (1 point) 20 times 5) How many times more power per unit area does the Sun release relative to the Earth? (1 point) 160,000 times 6) Calculate the wavelength of maximum emission for the Earth using Wien’s Law and report the value below. Keep two decimal figures. Units are a must . (2 points) λ max Earth= 2898 / 300= 9.66 μm 7) Calculate the wavelength of maximum emission for the Sun using Wien’s Law and report the value below. Keep two decimal figures. Units are a must . (2 points) λ max Sun= 2898 / 6000= 0.48 μm 8) In what portion of the electromagnetic spectrum (i.e., what type of radiation) is the maximum emission from the Sun? (1 point) Visible light 9) In what portion of the electromagnetic spectrum (i.e., what type of radiation) is the maximum emission from the Earth? (1 point) infrared 10) Your body has an average surface temperature of approximately 99°F. Calculate the power per unit area released by your body using Stefan-Boltzmann Law and report the value below. Keep two decimal figures in the final result and in all your intermediate calculations. Units are a must . (2 points) 2

Power per unit area released by your body= (((99 – 32) / 1.8 ) + 273) 4 x 5.67·10 -8 = 525.12 W/m 2 11) Calculate the wavelength of maximum emission for your body using Wien’s Law and report the value below. Keep two decimal figures. Units are a must . (2 points) λ max your body= 2898 / 310.22= 9.34 μm 12) In what portion of the electromagnetic spectrum (i.e., what type of radiation) is the maximum emission from your body? (1 point) Infrared 3

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