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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Sweating is one of the main mechanisms with which the body dissipates heat. Sweat evaporates with a latent heat of 2 430 kJ/kg at body temperature, and the body can produce as much as 1.5 kg of sweat per hour. If sweating were the only heat dissipation mechanism, what would be the maximum sustainable metabolic rate, in watts, if 80% of the energy used by the body goes into waste heat?

To determine
The maximum sustainable metabolic rate.

Explanation

Section1:

To determine: The maximum rate that the body can produce waste heat by sweating.

Answer: The maximum rate that the body can produce waste heat by sweating is 1.0×103W .

Explanation:

Given Info:

The latent heat of sweat at body temperature is 2430kJ/kg .

The body can produce 1.5kg of sweat per hour.

Formula to calculate the maximum rate is,

ΔQΔt=(ΔmΔt)Lv

  • ΔmΔt is the sweat per hour
  • Lv is the latent heat of sweat

Substitute 1.5kg for ΔmΔt and 2430kJ/kg for Lv to find the maximum rate,

ΔQΔt=(1.5kg/h)(2430×103J/kg)(1h3600s)=1

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