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Questions 31 through 33 are about the following graph of insolation variation by

ID: 299234 • Letter: Q

Question

Questions 31 through 33 are about the following graph of insolation variation by date and latitude. Use the above graph of insolation at various latitudes and dates of the year to answer the following questions. Average solar energy at the surface is indicated as calories/meter²/day. 31. Alameda is located at about 37°N latitude (which is only about 180 nautical miles south of 40°N). 40°N is clearly marked on the graph, so the data presented at 40° N is close enough to represent Alameda for our purposes. Valdivia is a town near the South Pacific coast of Chile, located at about 40°S (39°49’S) What is the approximate difference in insolation between Alameda during June Solstice (when the subsolar point is located at 23.5°N, about 15° from 40°N) and Valdivia during December solstice (when the subsolar point is located at 23.5°S, about 16° from 40°S). Hint: Use Insert, then Shapes and then the Straight line function to help find the answers. Show the math.

Explanation / Answer

Answer:

As the graph is not given, though the insolation difference at different surfaces can be calculated by using following equations;

Lambert's Cosine Law= I=Io cos()

where, I= insolation at angle , Io= initial insolation (means average insolation 1367w/m2), cos()= angle between incidence light and normal surface.

I = Insolation*(1-albedo)

Where, I= Incoming solar energy, albedo= fraction of reflected light.

O = Insolation*albedo

Where, O= Outgoing energy