A person’s body is producing energy internally due to metabolic processes. If th

Question

A person’s body is producing energy internally due to metabolic processes. If the body loses more energy than metabolic processes are generating, its temperature will drop. If the drop is severe, it can be lifethreatening. Suppose that a person is unclothed and energy is being lost via radiation from a body surface area of 1.40 m2 , which has a temperature of 34.0 C and an emissivity of 0.700. Also suppose that metabolic processes are producing energy at a rate of 115W. What is the temperature of the coldest room in which this person could stand and not experience a drop in body temperature?

Explanation / Answer

Here .

let the temperature of the room is T

To = 34 degree C = 307 K

Now , for the heat lost

115 = Emissivity * area * (T^4 - To^4)

115 = 1.4 * 0.70 * (T^4 - 307^4)

solving for T

T = 307 K = 307 K

the temperature of the coldest room can be 30 degree C

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