Question

Question 7 (1 point) You recently read that a new possibly habitable planet was discovered. The planet, Burt, receives 2100 W/m2 from it's companion star. If planet Burt has a a radius of 7000 km and acts like a blackbody (emissivity-1) and thus radiates same amount of energy it absorbs, what is its average suraface temperature. For comparison the earth has a surface temperaure of 278 K.

Answer 1

Here ,

let the temperature is T

Hence , for intensity ,

P/A = sigma * e * T^4

2100 = 5.6703 *10^-8 * 1 * T^4

solving for T

T = 438.7 K

the surface temperature is 438.7 K