If a water heater has a capacity of 54.4 gallons and a 4910 W heating element, how much time is required to raise the temperature of the water from 19.8oC to 60.0oC? Assume that the heater is well insulated and no water is withdrawn from the tank during this time.

1 answer

1 gallon of water has a mass of 3.785 kg. Therefore you are heating
M = 54.4*3.785 = 205.9 kg. The total enegy required to heat that amount of water 40.2 C is
205.9 kg*40.2 C*4184 Cal/kg*C
= 3.463*10^7 J

Divide that by the watts of the heater (4910) to get the required time in seconds.