Answer to Question #97192 in Molecular Physics | Thermodynamics for P

Question

Assuming that the earth re-emits all the radiations it receives from the sum, determine
its temperature, (For earth, E = 1.39 × 103
w/m2 , Stefan’s constant. = σ = 5.735 × 10–8
w/m2
k
4
)

Answer 1

Determining the temperature

We need to find the temperature

Solution:

We have formula,

$$T = [\frac {E \times (1 - Albedo)} {4\sigma}]^\frac {1}{4}$$

Here,

Albedo = 0.3

Solar constant =

$$E = 1.39 \times 10^3 \frac {w} {m^2}$$

Stefan’s constant. =

$$\sigma =5.735 × 10^{–8}\frac {w} {m^2}$$

Plug the values in the formula

$$T = [\frac {1.39 \times 10^3 \times (1 - 0.3)} {4\times 5.735 × 10^{–8} }]^\frac {1}{4}$$

$T = 255.2 \space k$

Answer:

$$T = 255.2 \space k$$