The effective radiative temperature

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The discussion revolves around calculating the sun's temperature during the Archeaneon, when its radiative output was 30% lower than today. Using the Boltzmann equation, the sun's temperature was determined to be approximately 5488.14K. Wien's law was applied to find the peak emission wavelength, resulting in a value of 0.527 micrometers. The user seeks assistance with calculating the effective radiative temperature of the Earth, assuming an albedo of 0.3. The conversation highlights the application of fundamental physics equations to historical climate conditions.
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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


Boltzman 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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