# Estimate Temperature of Mars Using Sun's Heat

• Manda_24
In summary, the task is to estimate the temperature of Mars by considering its role as a perfect blackbody and the only heat input from the Sun. The formula (pi)(rmars)2 / 4(pi)rsun2 is a small part of the solution, and the teacher has provided the equation Iemitted=Q/t=eA(sigma)T4. The key is to determine the power emitted and the area of Mars that receives energy from the sun and emits energy into space.
Manda_24

## 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)

## 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

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?

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

## 1. How is the temperature of Mars estimated using the Sun's heat?

The temperature of Mars can be estimated by using the Stefan-Boltzmann law, which states that the amount of heat radiated by a planet is directly proportional to its surface area and the fourth power of its temperature. By measuring the amount of heat radiated by Mars and knowing its surface area, we can calculate its temperature.

## 2. Why is the Sun's heat used to estimate the temperature of Mars?

The Sun is the primary source of heat for all planets in our solar system, including Mars. By using the Sun's heat, we can get a more accurate estimation of the temperature on Mars rather than relying on other factors such as internal heat sources.

## 3. What tools are used to measure the heat radiated by Mars?

Instruments such as infrared cameras and spectrometers are used to measure the heat radiated by Mars. These tools can detect and measure the infrared radiation emitted by the planet, which can then be used to calculate its temperature.

## 4. How does the distance between Mars and the Sun affect its temperature?

The distance between Mars and the Sun does have an impact on its temperature. Since Mars has a highly elliptical orbit, its distance from the Sun varies greatly, causing fluctuations in its temperature. When Mars is closer to the Sun, it receives more heat and its temperature increases. When it is farther away, its temperature decreases.

## 5. Are there any other factors that can affect the estimated temperature of Mars?

Yes, there are other factors that can affect the estimated temperature of Mars, such as its atmosphere, albedo (reflectivity), and surface features. These factors can influence how much of the Sun's heat is absorbed or reflected by the planet, ultimately affecting its overall temperature.

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