In very cold weather, a significant mechanism for heat loss by the human body is

Question

In very cold weather, a significant mechanism for heat loss by the human body is energy expended in warming the air taken into the lungs with each breath. A) On a cold winter day when the temperature is -19.0 ^ C, what is the amount of heat needed to warm to internal body temperature (37 ^ C) the 0.470L of air exchanged with each breath? Assume that the specific heat capacity of air is 1020 J/(kg * K)} and that 1.0 L of air has a mass of 1.3 g. B) How much heat is lost per hour if the respiration rate is 21.0 breaths per minute?

Explanation / Answer

(1020 [J/(kg•K)])(0.5 L)(1.3·10³ kg/L)(37+19 K)

= 37.128 J

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(37.128 J/breath)(21 breaths/min)(60 min/hr)

= 4.67 * 10 J/hr.

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