Problem 4 (20 points) Global Atmospheric Change: Energy Balances and Greenhouse Effect Consider that the solar constant

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Problem 4 20 Points Global Atmospheric Change Energy Balances And Greenhouse Effect Consider That The Solar Constant 1 (53.16 KiB) Viewed 32 times

Problem 4 (20 points) Global Atmospheric Change: Energy Balances and Greenhouse Effect Consider that the solar constant of Mars is 589 W/m² and its albedo is 25%. (i) (8 points) Write a basic energy balance by considering the solar energy absorbed by Mars and the energy Mars radiates back to space. (ii) (7 points) What is the effective temperature in °C found from the energy balance you wrote in (i)? (iii) (3 points) The atmospheric pressure on Mars is 0.006 atm, and its surface temperature is 218 K. Compare the effective temperature you found in (ii) with the given surface temperature and explain briefly any difference you observe. How does the surface temperature of Mars compare with that of the Earth and why? (iv) (2 points) At what wavelength would the actual radiation spectrum from Mars reach its peak? In your solution, draw a schematic of the system, state all your assumptions, and show details of your calculations. o. Stefan-Boltzmann constant: 5.67x10-8 W/m²-K4 589 Wien's displacement rule: Amax (um) = 2898/{T(K)} 259, MARS