Estimate Temperature of Mars Using Sun's Heat

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    Mars Temperature
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Homework Help Overview

The problem involves estimating the temperature of Mars by considering it as a perfect blackbody receiving heat from the Sun. Participants are tasked with using relevant values and equations to approach this estimation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the power received by Mars from the Sun and the power it must emit. There are questions about the relevant equations, particularly regarding the area involved in energy absorption and emission.

Discussion Status

The discussion includes attempts to clarify the relationship between the power received and emitted by Mars. Some participants have offered insights into the equations needed, while others are still seeking clarification on specific variables and concepts.

Contextual Notes

There is mention of using values from an appendix, and participants are navigating the definitions and implications of the variables in the equations related to radiation.

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Homework Statement


Estimate the temperature of Mars. Assume Mars acts as a perfect blackbody and the only heat input comes from the Sun (use necessary values from appendix)


Homework Equations





The Attempt at a Solution



I was doing so well until I got to this question on my homework.
I tried this: (pi)(rmars)2 / 4(pi)rsun2

for the radius of Mars my book says 6370 km and the sun 6.95e5 km
 
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Thats just one small step in the answer.

First think about what the question means:
How much power does Mars recv from the sun ?
How much power must it emit (and why)
Therefore what temperature must it be?
 
We finally talked about this a little in class today, I think. The teacher put up an equation for radiation.
Iemitted=Q/t=eA(sigma)T4

Is this part of what I need to use to finish the question? I know what sigma is and e but I don't know what A is.
 
This is the power emitted by a surface of area A at temperature T

Careful - what area of Mars receives energy from the sun and what area emits energy into space?
 
Thanks for your help, I finally got it
 

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