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

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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 provided for radiant power loss were incorrect, as they failed to account for both the power radiated by the skin and the power absorbed from the room. The correct approach involves using the Stefan-Boltzmann law to find the radiant power emitted by the skin and subtracting the power absorbed from the room's radiation. Additionally, there was a noted error in using 25.15°C instead of the correct 25°C for calculations. Accurate calculations are essential for determining the total energy loss in food Calories over an hour.
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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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