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Answer: Metabolic activity in the human body releases

Chapter 6, Problem 141P

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QUESTION:

Metabolic activity in the human body releases approximately \(1.0 \times 10^{4}\ \mathrm{kJ}\) of heat per day. Assuming the body is 50 kg of water, how much would the body temperature rise if it were an isolated system? How much water must the body eliminate as perspiration to maintain the normal body temperature \(\left(98.6^{\circ} \mathrm{F}\right)\)? Comment on your results. The heat of vaporization of water may be taken as 2.41 kJ/g.

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QUESTION:

Metabolic activity in the human body releases approximately \(1.0 \times 10^{4}\ \mathrm{kJ}\) of heat per day. Assuming the body is 50 kg of water, how much would the body temperature rise if it were an isolated system? How much water must the body eliminate as perspiration to maintain the normal body temperature \(\left(98.6^{\circ} \mathrm{F}\right)\)? Comment on your results. The heat of vaporization of water may be taken as 2.41 kJ/g.

ANSWER:

Step 1 of 3

If the body absorbs all the heat released and is an isolated system, the temperature rise and it can be expressed is as follows;

                                                        ................................(1)

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