The shell of a space station is a blackened sphere in which a temperature T = 500K is maintained due to operation of appliances of the station. Find the temperature of the shell if the station is enveloped by a thin spherical black screen of nearly the same radius as the radius of the shell.

Explanation

For space station if power generation is P we use ,br> `P = sigmaAT^(4)`
After enveloping it with a shell ofsame inner and outer area A if temperature of space station becomes `T_(1)`, and to keep it in equilibrium outer shell will be at temperature T now
`P = sigmaAT_(1)^(4)- sigma AT^(4) = sigma AT^(4)`
`rArr T_(1) = (2)^(1//4)T = 2^(1//4) xx 500`
`= 594.6 K`