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?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 11OQ
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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?

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