Question

The basal metabolic rate is the rate at which energy is produced in the body when...

The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 66 kg (146 lb) person of height 1.83 m (6.0 ft) would have a body surface area of approximately 1.9 m2. What is the net amount of heat this person could radiate per second into a room at 18.0 ∘C (about 64.4 ∘F) if his skin's surface temperature is 31.0 ∘C? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.0, regardless of the amount of pigment.) Express your answer in watts.

answer is 147.59but i need help with the next part

Normally, 80 % 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 from Part A to find this person's basal metabolic rate.

Homework Answers

Answer #1

given
m = 66 kg
A = 1.9 m^2
Th = 31 C = 31 + 273 = 304 K
Tc = 18 C = 18 + 273 = 291 K
emissivity, e = 1

According to Stefan-Boltzmaan's law,
power radiated by the person,

P = e*A*sigma*(Th^4 - Tc^4)

= 1*1.9*5.67*10^-8*(304^4 - 291^4)

= 147.6 W

from the given data

80% of person's basal metabolic rate = power radiated by the person

0.8*person's basal metabolic rate = 147.6

person's basal metabolic rate = 147.6/0.8

= 184.5 W <<<<<<<<<-------------Answer

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