An astronaut performing an extra-vehicular activity(space walk) shaded from the Sun is wearing a spacesuitthat can be approximated as perfectly white (e = 0) exceptfor a 5 cm × 8 cm patch in the form of the astronaut’snational flag. The patch has emissivity 0.300. The spacesuitunder the patch is 0.500 cm thick, with a thermalconductivity k = 0.0600 W/m °C , and its inner surface isat a temperature of 20.0 °C . What is the temperature of thepatch, and what is the rate of heat loss through it? Assumethe patch is so thin that its outer surface is at the sametemperature as the outer surface of the spacesuit under it.Also assume the temperature of outer space is 0 K. You willget an equation that is very hard to solve in closed form,so you can solve it numerically with a graphing calculator,with software, or even by trial and error with a calculator.
An astronaut performing an extra-vehicular activity
(space walk) shaded from the Sun is wearing a spacesuit
that can be approximated as perfectly white (e = 0) except
for a 5 cm × 8 cm patch in the form of the astronaut’s
national flag. The patch has emissivity 0.300. The spacesuit
under the patch is 0.500 cm thick, with a thermal
conductivity k = 0.0600 W/m °C , and its inner surface is
at a temperature of 20.0 °C . What is the temperature of the
patch, and what is the rate of heat loss through it? Assume
the patch is so thin that its outer surface is at the same
temperature as the outer surface of the spacesuit under it.
Also assume the temperature of outer space is 0 K. You will
get an equation that is very hard to solve in closed form,
so you can solve it numerically with a graphing calculator,
with software, or even by trial and error with a calculator.
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