Solving Atmosphere Layers: Deriving Equations for Venus Surface & Atmos. Temp.

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To derive the equations for Venus's atmosphere and surface temperatures, start by calculating the absorbed solar radiation, which is 19% of the incoming 615 Wm-2, resulting in 116.85 Wm-2 absorbed by the atmosphere. The remaining 81% of the incoming radiation, approximately 498.15 Wm-2, reaches the surface. Since 99% of outgoing radiation is absorbed by the atmosphere, only 1% escapes, meaning the atmosphere must radiate back 615 Wm-2 to maintain thermal equilibrium. By setting up these relationships, one can derive equations for both the top of the atmosphere and the surface temperature. This approach will lead to the solution for the temperatures of both layers.
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1. Homework Statement
Consider a one layer atmosphere for the planet Venus. 19% of incoming solar radiation is absorbed by the atmosphere. 99% of the outgoing radiation is absorbed by the atmosphere. The incoming radiation, E, as measured by satellite is 615 Wm-2.

1) Derive two equations, one for the top of the atmosphere and the other for the Venusian surface in terms of x, y and E. Solve for the surface and atmospheric temperatures.



Homework Equations


None we need to create the equations but i do not know where to start.


The Attempt at a Solution


Please help! i have no clue where to start
 
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If 19% of the incoming radiation from the sun is absorbed, what happens to the other 81%? If the whole atmosphere is in thermal equilibrium, what must the lower atmosphere radiate back out?

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