Answer: 150.427 K
Step-by-step explanation:
The complete question is as follows:
The robot HooRU is lost in space, floating around aimlessly, and radiates heat into the depths of the cosmos at the rate of
. HooRU's surface area is
and the emissivity of its surface is
. Ignore the radiation HooRU absorbs from the cold universe. What is HooRU's temperature?
This problem can be solved by the Stefan-Boltzmann law for real radiator bodies:
(1)
Where:
is the energy radiated by HooRU
is the Stefan-Boltzmann's constant.
is the Surface of the robot
is the robot's emissivity
is the effective temperature of the robot (its surface absolute temperature) in Kelvin
So, we have to find
from (1):
(2)
Finally: