The basal metabolic rate is the rate at which energy is produced In the body whe

Question

The basal metabolic rate is the rate at which energy is produced In the body when a person is at rest. A 148 lb (67.0 kg) person of height 5.87 ft (1.79 m) would have a body surface area of approximately 1.90 m^2. What is the net amount of heat this person could radiate per second into a room at 17.0 degree C (about 62.6 degree F) if his skin's surface temperature is 31.0 degree C? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.00, regardless of the amount of pigment.) Normally, 80.0 % of the energy produced by metabolism goes into heat, while the rest goes into things like pumping blood and repairing cells. Also normally, a person at rest can get rid of this excess heat just through radiation. Use your answer to part A to find this person's basal metabolic rate(BMR).

Explanation / Answer

A) Rate of heat lost through radiation,

Hnet = eA(Tout4 - Tin4)

=> Hnet = 1.00 * (5.67 * 10-8) * 1.90 * [(273.15 + 31.0)4 - (273.15 + 17.0)4] = 158.4 W

B) SInce Hnet is 80% of BMR,

BMR = Hnet/0.8 = 158.4 / 0.8 = 198 W

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