Does anyone know how long it take to heat a 18ft swimming pool?

Question

It 1.2 metres deep and hold 20,000 L of water. I have a 5k heater? does anyone know?

Answer 1

You don't say by how much you'd like to heat the swimming pool i.e if you'd like to raise the temperature by 1C or 2C etc. I'll just assume that you would like to raise the temperature by 5C.

the mass of the water would be 20000kg

So the formula for the energy required to heat the pool is (Mass) x (Specific Heat Capacity of Water) x (Change in temperature)

The Specific Heat Capacity of Water is a constant and can be taken to be about 4180

So then we have (20000 x 4180 x 5) = 418000KJ

The Heater you have has a power of 5kW

Power = Work / time

5 x time = 418000

time = 83600 seconds

= 23.22 hours