The effective radiative temperature

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SUMMARY

The discussion focuses on calculating the effective radiative temperature of the Earth during the Archeaneon, when the sun's radiative output was 30% lower than today. The temperature of the sun at that time was determined to be approximately 5488.14K using the Boltzmann equation. The peak emission wavelength was calculated to be 0.527 micrometers using Wien's Law. The forum participant seeks assistance specifically with calculating the Earth's effective radiative temperature, assuming an albedo of 0.3.

PREREQUISITES
  • Understanding of the Boltzmann equation
  • Familiarity with Wien's Law
  • Basic knowledge of albedo and its effects on temperature
  • Concept of effective radiative temperature
NEXT STEPS
  • Research the application of the Boltzmann equation in astrophysics
  • Study Wien's Law in detail and its implications for stellar temperatures
  • Explore the concept of albedo and its impact on planetary climates
  • Investigate historical solar output variations and their effects on Earth's climate
USEFUL FOR

Astronomy students, climate scientists, and anyone interested in the historical climate conditions of Earth and the sun's influence on planetary temperatures.

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Homework Statement



It is believed that in the Archeaneon (2.5-4 billion years ago) the sun’s radiative output was 30% less than it is today.

(i) What would the temperature of the sun have been at that time?

(ii) At what wavelength would the peak emission from the sun have been?

(iii) Ignoring the effects of the atmosphere, what would the temperature of the Earth have been at this time (i.e. the effective radiative temperature)? Assume that the Earth’s albedo was 0.3, the same as today.


Homework Equations


Boltzmann equation
wiens law

The Attempt at a Solution


a)T= 4th root[5143824/(5.67*10^-8)]
t=5488.14K

b)detlamax=2897/5488.147
=0.527
 
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i need help with part c? please can some 1 help me ! asap! I am desperate! thank you!:)
 

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