Posted by ang on Wednesday, January 25, 2012 at 8:26pm.
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.
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