The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 157 lb (71.0 kg ) person of height

Question

The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 157 lb (71.0 kg ) person of height 5.91 ft(1.80 m ) would have a body surface area of approximately 1.90 m2 .

Reqiuired:
a. What is the net amount of heat this person could radiate per second into a room at 19.0 ∘C (about 66.2∘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 1.00, regardless of the amount of pigment.)

b. 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).

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Gerda 6 months 2021-07-17T09:47:59+00:00 1 Answers 40 views 0

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    2021-07-17T09:49:54+00:00

    Answer:

    A. Net amount of heat radiated = 109.2W

    B. Person’s basal energy = 136.5

    Explanation:

    Part A:

    Area of person, A = 1.90 m^2

    Temperature of person , T = 31 C

    T = 304 K

    Temperature of surroundings , To = 19 C

    To = 282 K

    Now, net amount of heat radiated = e*A*sigma *(T^4 – To^4)

    Net amount of heat radiated = 1 * 1.8 * 5.6703 *10^-8 *(304^4 – 294^4)

    Net amount of heat radiated = 109.2 W

    The net amount of heat radiated is 109.2 W

    Part B:

    Person’s basal energy = net amount of heat radiated /(0.80)

    Person’s basal energy = 109.2/0.80

    Person’s basal energy = 136.5 W

    Person’s basal energy is 136.5 W

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