posted by ang on .
A typical woman gives off heat at the rate of about 8000 calories per hour. How long would a woman have to stay in a bath of 60L (60,000g)of 26*C water in order to raise the water temperature to 30*C. Presume that all the heat given off by the woman is transferred to the water, and that the water doesn't lose any heat to the air
To raise the temperature of that much water by 4 degrees C requires
Q = 4 deg* 1.00 cal/deg*g * 6*10^4 g
= 24*10^4 calories
Divide that by 8000 cal/h for the number of hours.
The bath water will probably lose heat much faster than that, by evaporation and convection. This is an unrealistic problem.