# 2-Layers

QUESTION

Imagine a planet with 2-layer atmosphere, where the atmosphere is transparent to solar radiation and opaque to terrestrial radiation. Given solar constant S, albedo α, surface temperature Ts, the temperature of first & second atmosphere layers ${T}_{1}$ and ${T}_{2}$ . Come up with a representation of ${T}_{S}$ . Use the interactive diagram as you finish the problem steps on the right.

( Equations that you might wan to use: Blackbody emission is $\sigma {T}^{4}$ . The amount of solar energy absorbed is $\genfrac{}{}{0.1ex}{}{S\left(1-\alpha \right)}{4}$ .)

Interactive diagram

$\genfrac{}{}{0.1ex}{}{S\left(1-\alpha \right)}{4}$
$\sigma {{T}_{S}}^{4}$
$\sigma {{T}_{1}}^{4}$
$\sigma {{T}_{1}}^{4}$
$\sigma {{T}_{2}}^{4}$
$\sigma {{T}_{2}}^{4}$

Let's complete the diagram by identify all the heat transfers between objects. The goal is for you to mark all of the energy transfer arrows in the diagram.

(You may make an arrow by clicking on two of the shapes. Click on the “That’s All” button if you think you have accounted for all of the engery transfers.)