How Much Energy Does a Human Lose Through Radiation in a Cool Room?

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SUMMARY

The discussion focuses on calculating the net loss of radiant power from a human body in a cool room, specifically with a skin temperature of 34°C and room temperature of 25°C. The initial calculations used the Stefan-Boltzmann law but failed to account for the power absorbed from the room. The correct approach involves calculating the power radiated by the skin and subtracting the power absorbed from the room, necessitating a revised equation. The discrepancy in temperature used in calculations was also highlighted, emphasizing the importance of precision in scientific computations.

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owura143
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Suppose the skin temperature of a naked person is 34°C when the person is standing inside a room whose temperature is 25°C. The skin area of the individual is 2.0 m2

a) Assuming the emissivity is 0.80, find the net loss of radiant power from the body

b) Determine the number of food Calories of energy (1 food Calorie = 4186 J) that is lost in one hour due to the net loss rate obtained in part (a). Metabolic conversion of food into energy replaces this loss.


I used
a)
Q/t = emissivity x stefan-boltzmann constant x T^4 x A

= 0.8 X 5.67^-8 X 298.15^4 X 2

=719.277


b) 1 watt per hour = 3600J
total joules = 3600 X 719.277 = 2589399.087


2589399.087 /4186 = total calories


Answers are wrong
 
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To get the net power loss from the body, you need to compute the power radiated by the warm skin, then subtract the power radiated by the room that is absorbed by the skin. Can you write the equation for that?

BTW, not sure why you used 25.15C degrees instead of 25C in your calc...
 

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