ATMS 120: FA2016 Snodgrass Name and NetID:_________________________________________ Earth's Average Temperature - with no Greenhouse Gases (10...
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# Please provide solution ! This is about atmospheric sciences.

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ATMS 120: FA2016 Snodgrass © 2016 Dept of Atmsoperic Science, University of Illinois-Urbana Champaign 1 Name and NetID:_________________________________________ Earth’s Average Temperature – with no Greenhouse Gases (10 points) Greenhouse gases like Carbon Dioxide (CO 2 ) and Water Vapor (H 2 O) are crucial for life on Earth. These gases keep Earth warm by retaining the infrared heat the Earth radiates to space. Let’s prove that without these gases, the Earth’s temperature drops nearly 60°F from its current average to a new average of 0°F. To solve this problem, we need to understand Earth’s energy balance equation. The amount of solar energy Earth receives needs to be balanced by the amount of radiant energy the Earth sends back to space. Essentially, energy in must equal energy out. The equation below illustrates this balance. Use this equation and constants given below to solve for T E (Earth’s Equilibrium Temperature). You must show your work to get credit . (1-A) S π R E 2 = σ SB T E 4 4 π R E 2 Constants: A = 0.3 (Earth’s Albedo, which is how much of the sun’s energy is reflected by the Earth = 30%) S = 1368 W/m 2 (Solar constant, which is the flux of energy received each second from the sun over a square meter) R E = 6,370,000 m (Earth’s Radius) σ SB = 5.67*10 -8 W/m 2 /K 4 (Stephan Boltzmann Constant) T E = Earth’s Equilibrium Temperature (this is what you are trying to solve for) Helpful Hints: 1. If given an equation like this, y = x t and you need to solve for x, the solution is y (1/t) = x 2. Your answer will be in Kelvin. To convert to °C, just subtract 273.15. Then you can convert to °F using T(°F) = T(°C) * 1.8 + 32 3. Remember, your goal with this problem is to prove that the value of T E is 0°F (-18°C)
ATMS 120: FA2016 Snodgrass © 2016 Dept of Atmsoperic Science, University of Illinois-Urbana Champaign 2 Seasons (5 points) 1.Which of these cities will have the most daylight hours on June 21 st ? ___________ 2.Which of these cities will have the largest annual range of temperature throughout the year? ___________ 3. Will city A have direct sunshine (directly overhead, 90 degree solar elevation angle) at noon on June 21 st ? Circle one: Yes NO 4. Will city C ever have direct sunshine (directly overhead, 90 degree solar elevation angle) at noon? Circle one: Yes NO 4. Which of these cities will likely have 24-hours of darkness in on December 21st? ___________ Moving Champaign… (5 points) If Champaign were to move from its current location in the middle of a large continent (North America) directly to the west until it was situated along the west coast of the US, how would our annual temperature range change? Please briefly explain your answer.

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