Question

Calculate and compare the albedo temperature of Mars to Venus. Then compare the two albedo temperatures the planet’s albedo temperatures to their blackbody temperatures. Which one mostly like had life in their history?

Answer 1

Answer:

The albedo temperature for Mars and Venus are 210K and 184 K respectively.Mars albedo temperature is closer to its black body temperature such that the Venus has more albedo.Thus there is a chance that Mars would have had life in their history.

Explanation:

The albedo temperature is given as

$Te =\left [\dfrac{L(1-a)}{ (16\pi \sigma D^2}\right]^{1/4}$

Here

L = Solar luminosity = 3.846*1026 W m-2 K-4

D = distance from Sun

σ = the Stefan-Boltzman constant = 5.6704 * 10-8 W

a is the albedo constant whose value for Mars is  0.250 while for  Venus it is 0.900

So the albedo temperature is given as

Venus: 184 K

Mars: 210 K

The black body temperature is given as

$Te =\left [\dfrac{L}{ (16\pi \sigma D^2}\right]^{1/4}$

By substitution of the values, the black body temperature for Venus and Mars are as

Venus: 327 K

Mars: 225 K

Mars albedo temperature is closer to its black body temperature such that the Venus has more albedo.

Thus there is a chance that Mars would have had life in their history.