Physics and Environment Questions

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SUMMARY

The discussion focuses on calculating the emission temperature of Venus and the required atmospheric layers to achieve its observed mean surface temperature of 750 K. Using the mean radius of Venus' orbit at 0.72 times that of Earth's and the solar flux of 1367 W/m², participants derive the necessary equations for these calculations. Additionally, they compare this with Earth's mean surface temperature of 288 K to determine the atmospheric layers needed for Earth. Key equations include the Stefan-Boltzmann law and the concept of planetary albedo.

PREREQUISITES
  • Understanding of the Stefan-Boltzmann law
  • Knowledge of planetary albedo and its effects on temperature
  • Familiarity with orbital mechanics and solar flux calculations
  • Basic concepts of atmospheric layers and their impact on temperature
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  • Research the Stefan-Boltzmann law and its applications in planetary science
  • Explore the effects of albedo on planetary temperatures
  • Learn about the composition and structure of planetary atmospheres
  • Investigate solar flux variations and their impact on different planets
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Students and professionals in astrophysics, climate science, and environmental studies, particularly those interested in planetary atmospheres and temperature dynamics.

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(a) Determine the emission temperature fro the planet Venus. You may assume that the following: the mean radius of Venus' orbit is 0.72´
that of Earth's orbit, the solar flux S0 decreases as the square of the distance from the sun and has a value of 1367Wm-2 for Earth's orbit;
Venus's planetary albedo is 0.77.
(b) The observed mean surface temperature of the planet Venus is about 750 K. How many layers of the N-layered atmosphere (see previous
problem) would be required to achieve this type of warming?
(c) Earth's mean surface temperature is 288 K. How many layers must our atmosphere be composed of?
 
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What equations are relevant to these problems? Also, what have you tried so far to solve them?
 

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