A swimming pool heater has to be able to raise the temperature of the 40 000 gallons of water in the pool by 10.0 C $\degree$.How many kilowatt-hours of energy are required? (One gallon of water has a mass of approximately 3.8 kg and the specific heat of water is 4 186 J/kg*$\degree$C. )
A)1 960 kWh
B)1 770 kWh
C)330 kWh
D)216 kWh

Question

Quizplus · Accepted Answer

To find the energy required, use the formula: Energy (J) = mass (kg) × specific heat (J/kg°C) × temperature change (°C). Convert gallons to kg: 40,000 gallons × 3.8 kg/gallon = 152,000 kg. Then, Energy = 152,000 kg × 4,186 J/kg°C × 10°C = 6,364,320,000 J. Convert joules to kWh: 6,364,320,000 J ÷ 3,600,000 J/kWh = 1,767.87 kWh, which rounds to 1,770 kWh.

A Swimming Pool Heater Has to Be Able to Raise °\degree°

A Swimming Pool Heater Has to Be Able to Raise $\degree$