# For a planet with a two-layer atmosphere: Write an energy budget equation for the surface of this planet.

- For a planet with a two-layer atmosphere:

a. Write an energy budget equation for the surface of this planet.

b. Calculate the surface temperature of this planet given a solar constant of 1400 W/m2 and the albedo is 0.3.

c. Calculate the difference in surface temperature given a 20% reduction in albedo.

For a planet with a one-layer atmosphere, except assume that the atmosphere is transparent to 20% of outgoing long wave (infrared) radiation:

a. Write an energy budget equation for the top of the atmosphere

b. Write an energy budget equation for the surface of this planet

c. Calculate the surface temperature of this planet given a solar constant of 1400 W/m2 and the albedo is 0.3.

d. The earth’s surface temperature is 298 K. Calculate what the transparency of the atmosphere (with respect to outgoing long wave radiation) would be in a one-layer slab atmosphere model.

- For a planet with a one-layer atmosphere, except assume the atmosphere absorbs all the incoming short wave radiation:

a. Write an energy budget equation for the surface of this planet (1 pts)

b. Calculate the surface temperature of this planet given a solar constant of 1400 W/m2 and the albedo is 0.3. (2 pt)