An astronaut is performing an extravehicular activity while shaded from sunlight.
The astronaut is wearing a spacesuit that can be modeled as perfectly white,
with an emissivity of exactly 0. However, one part of the spacesuit,
a rectangular patch with side lengths of 2 cm and
4 cm, is not white.
The patch has an emissivity 0.220. The spacesuit under the patch is
0.720 cm thick, with a thermal conductivity of
,
and its inner surface is at a temperature of .
Assume the patch is so thin that its outer surface is at the same
temperature as the outer surface of the spacesuit under it. Determine the temperature of the patch.
Use a value of 3 K
for the temperature of space around the astronaut.