PROBLEM #9 It is important for the body to have mechanisms to effectively cool i

Question

PROBLEM #9

It is important for the body to have mechanisms to effectively cool itself: if not, moderate exercise could easily increase body temperatures to dangerous levels. Suppose a 70 kg man runs on a treadmill for 30 min, using a metabolic power of 1000 W. Assume that all of this power goes to thermal energy in the body. If he couldn't perspire or otherwise cool his body, by how much would his body temperature rise during this exercise? A copper-bottomed kettle, with a bottom diameter of 24 cm and a thickness of 3.0 mm, sits on a burner. The kettle holds boiling water, and energy flows into the water from the kettle bottom at 800 W. What is the temperature of the bottom surface of the kettle.

Explanation / Answer

Given Data

time , t = 30 min = 30*60 s

mass, m = 70 kgs

Power = 1000 W

We have

Specific Heat of Human Body : 3470 J/Kg

Solution :-

Total Heat produced = Power * time

                              = 1000 x 30 x 60

                              = 1800000 J

Heat Rise

1800000 = m c T

1800000 = 70 x 3470 x T

T = 7.41 degree celcius

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