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Mathematics, 01.03.2021 22:00 mrashrafkotkaat

Perform a dimensional analysis to show that the linearized equation for global surface temperature based on the zero-dimensional energy-balance model yields a value in degrees Celsius (oC), given that the solar constant has units W m^-2, planetary albedo is unitless, the planetary longwave radiation constant ("A") has units W m-2, and the temperature-dependent planetary longwave radiation constant ("B") has units W m^-2°C^-1. Rearrange the equation so you can cancel out all of the units except for degrees Celsius to prove that the conversion cancels out and only leaves C.

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