The outer surface of a spacecraft in space has an emissivity of 0.72 and a solar absorptivity of 0.3. If solar radiation is incident on the spacecraft at a rate of 950 W/m2, determine the surface temperature of the spacecraft when the radiation emitted equals the solar energy absorbed.

Explanation:

solar radiation is incident on the spacecraft and the spacecraft radiates heat to deep space, which is at an average temperature of 3 K.

to find

assume that Incident solar radiation on the spacecraft is uniform.      The spacecraft radiates thermal energy to its surroundings which are at an average temperature of 3 K.

The spacecraft absorbs 30% of the incident radiation from the sun, because:

The space craft radiates to deep space and deep space radiates to the spacecraft as well.

When the temperature on the surface of the spacecraft reaches a steady-state value, there will be no net amount of heat transfer to or from the surface :

Next, we can combine Eq 2 & 3 and solve for the surface temperature of the spacecraft.

x+2 because it just doubles hon so the pattern can actually tell you the expression.

so for example,

if x=2 then 2+2 is 4

if x=4 then 4+4 is 8

and so on and so forth.

i really hope that this makes sense and you out in a way hon: )