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College Physics

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

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Section
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College Physics

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

Suppose a highly trained athlete consumes oxygen at a rate of 70.0 mL/ (min · kg) during a 30.0-min workout. If the athlete’s mass is 78.0 kg and their body functions as a heat engine with a 20.0% efficiency, calculate (a) their metabolic rate in kcal/min and (b) the thermal energy in kcal released during the workout.

(a)

To determine
The metabolic rate in kcal/min.

Explanation

Section1:

To determine: The rate of consumption of oxygen.

Answer: The rate of consumption of oxygen is 9.10×102L/s .

Explanation:

Given Info:

The weight of athlete is 78.0kg .

Formula to calculate the rate of consumption of oxygen is,

ΔVO2Δt=m(70.0mL/minkg)(10-3L1mL)(1min60s)

  • m is the mass of the athlete

Substitute 78.0kg for m to find the rate of consumption of oxygen,

ΔVO2Δt=(78.0kg)(70.0mL/minkg)(103L1mL)(1min60s)=9.10×102L/s

Thus, the rate of consumption of oxygen is 9

(b)

To determine
The thermal energy released during the workout in kcal.

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