Metabolic activity in the human body releases approximately $1.0 \times 10^{4} \mathrm{kJ}$ of heat per day. Assuming the body contains $50 \mathrm{kg}$ of water, how fast 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 (98.6 $^{\circ} \mathrm{F}$ )? The heat of vaporization of water may be taken as $2.41 \mathrm{kJ} / \mathrm{g}$. Comment on your results.