Conservation of Energy Applied to the Water in a Swimming Pool You are asked to design a heating system for a variety of rectangular swimming pools that are 2m deep, 10 m wide, and the length can vary from 10 m to 25 m. The heating system must be able to raise the specific internal energy of the water by 40 KJ/kg in a 3 hour time period. Consider heat losses to the surroundings to be approximately 1000 W/m2 based off of the top surface area of the water. Take the density of the water to be constant in time as approximately 1000 kg/m3. Determine the required heater size (in kW) as a function of the length of the pool.