In this problem you will consider the balance of thermal energy radiated and abs

Question

In this problem you will consider the balance of thermal energy radiated and absorbed by a person. Assume that the person is wearing only a skimpy bathing suit of negligible area. As a rough approximation, the area of a human body may be considered to be that of the sides of a cylinder of length L=2.0m and circumference C=0.8m. For the Stefan-Boltzmann constant use =5.67×108W/m2/K4. Part A If the surface temperature of the skin is taken to be Tbody=30C, how much thermal power Prb does the body described in the introduction radiate? Take the emissivity to be e=0.6. Express the power radiated into the room by the body numerically, rounded to the nearest 10 W.?

Explanation / Answer

power radiated per unit area = e * sigma * T^4

= 0.6 * 5.67 * 10^-8 * (273 + 30)^4

= 286.75 W/m^2

surafce area = CL = 0.8 x 2 = 1.6 m^2

P = 286.75 * 1.6 = 458.8 W

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