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.
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
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