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Author Question: Venus and Mars orbit the Sun at average distances of 0.72 AU and 1.52 AU, respectively. What is the ... (Read 135 times)

storky111

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on: Jul 14, 2018
Venus and Mars orbit the Sun at average distances of 0.72 AU and 1.52 AU, respectively. What is the solar flux at each planet?
 
  What will be an ideal response?

Question 2

Venus has a planetary albedo of 0.8, and Mars has an albedo of 0.22. Using the answer to part (a), determine the effective radiating temperatures of these planets.
 
  What will be an ideal response?

Question 3

if the two bodies in part (a) were the same size, what would be the ratio of the heat emitted by the hotter object to the heat emitted by the colder one?
 
  What will be an ideal response?


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bobsmith

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Reply #1 on: Jul 14, 2018
Answer to Question 1

Inverse Square Law: S = S0(r0/r)
Given: SEarth= 1370 W/m2
rEarth = 1 AU
rVenus = 0.72 AU
rMars = 1.52 AU

Venus: SVenus = SEarth ( rEarth / rVenus)2
SVenus = 1370 W/m2 (1 AU/ 0.72 AU)2
SVenus  2642.8 W/m2

Mars: SMars = SEarth ( rEarth / rMars)2
SVenus = 1370 W/m2 (1 AU/ 1.52 AU)2
SVenus  593.0 W/m2

Answer to Question 2

Effective Radiating Temp:
Given: Te4 = S(1-A)/4
AVenus= 0.8
AMars = 0.22

Venus: Te=(SVenus/4)(1-AVenus)1/4
Te=(2642.8 W/m2 /4 (5.67  10 8 W/m2/K4)(1-0.8)1/4
Venus Te = 219.7 K

Mars: Te=(SMars/4)(1-AMars)1/4
Te=(593.0 W/m2 /4 (5.67  10 8 W/m2/K4)(1-0.22)1/4
Mars Te = 212.5 K

Answer to Question 3

Stefan-Boltzmann Law:


storky111

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Reply 2 on: Jul 14, 2018
Excellent

jordangronback

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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