5–127 you are asked to design a heating system for a swimming pool that is 2 m deep, 25 m long, and 25 m wide. your client desires that the heating system be large enough to raise the water temperature from 20 to 30°c in 3 h. the rate of heat loss from the water to the air at the outdoor design conditions is determined to be 960 w/m2, and the heater must also be able to maintain the pool at 30°c at those conditions. heat losses to the ground are expected to be small and can be disregarded. the heater considered is a natural gas furnace whose efficiency is 80 percent. what heater size (in kw input) would you recommend to your client