Posted by Bubbles on Sunday, January 24, 2010 at 12:27pm.
That value of E is wrong. It is lower than the value at the earth's orbit. It should be higher.
See
http://junkscience.com/Greenhouse/venus.html
Assuming your value of E (unlikely):
At equilibrium, the same amount is radiated back as hits the ground or the ground would keep heating forever.
(1-.19) * 615 w/m^2 hits ground
Therefore at what Kelvin temperature is the radiation 498 w/m^2 ? That is the ground temperature.
The atmosphere is abosrbing .19(615) = 117 w/m^2 inbound + .99 (498)= 493 outbound so it radiates back a total of 610 w/m^2. Again find the temp in deg. Kelvin.
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