contestada

1) Using the simple earth energy model we developed in class, calculate the average
temperature of earth assuming that the earth is a perfect black body, the solar irradiance is 1360
W/m2
, the albedo of earth is 0.33 and the Stefan-Boltzmann constant is equal to 5.67 X 10
-8 W
m-2 K
-4

1 Using the simple earth energy model we developed in class calculate the average temperature of earth assuming that the earth is a perfect black body the solar class=

Respuesta :

The average temperature of Earth given the solar irradiance is 238.4K.

How to calculate the temperature?

The following can be deduced from the information:

Let Earth's albedo =α =0.33

Radius of sun ( Rs) =6.955×10⁵

Value of Boltzmann constant= 5.67×10-⁸

L= 1350

T = average temperature

L= 4σ (Te)⁴ / (1-α)

1 - 0.33 = 4 × 5.67×10-⁸×(T)⁴ / 1350

0.67  × 1350 = 0.0000002268*(T)⁴

(T)⁴ = 3230357142.9

T = 238.4 k

In conclusion, the temperature is 238.4K.

Complete question:

Calculate the average temperature of Earth where the solar irradiance (L) is 1350W/m² and the albedo of Earth is 0.33. Consider Earth to be a perfect black body and the Stefan - Bollzmann constant to be 5.67 × 10^-8 W.

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