How do I calculate the heating capacity for my pool? # How do I calculate the heating capacity for my pool?

The pool heat pump is a type of heating that needs to be given time.

Indeed, such a mass of water to be heated represents a large amount of energy. To determine it (at least in approximation), it is enough to multiply :

• m : the mass of the water in kg
• Cp : the heat capacity of water which is always 4185 J.kg-1.K-1 (J = Joules, kg = kilograms, K = Kelvin)
• ΔT The difference in temperature between the base water (municipal water with which the pool is filled: 10°C) and the desired final temperature (30°C for example)

This formula is written: Q = m.Cp.ΔT

## Some examples of pools to be heated

### Rectangular Pool 10 x 5m

Pool dimensions:

• Length l : 10m
• Width L : 5m
• Low depth Hb : 1m
• High depth Hh : 3m
• Average depth h : 1.5m

Calculation of the pool volume:

V= L x W x H = 10 x 5 x 1.5 = 75 m3

Now 1m3 = 1000dm3 = 1000L

1000L of water = 1000kg (to the nearest approximation)

So our pool contains 75'000kg of water.

Calculation of the quantity of heat Q to bring to heat at 30°C :

Q = m.Cp.ΔT (in Joules)

Q = 75'000 x 4185 x (30 - 10)

Q = 6'277'500'000 Joules

Calculation of the number of kilowatt-hours:

We know that 1 kWh = 3'600'000 J

1 kWh is the energy supplied by a machine of power 1kW during 1 hour.

We just have to divide Q by 3'600'000 and we get 6'277'500'000 / 3'600'000 = 1744 kWh

This is the amount of energy that must be brought to the pool to heat it to 30°C.

Calculation of the time needed to provide this amount of energy Q :

All we have to do is see how fast we can bring this energy.

If we opt for a 12kW machine for example, it will take a quantity of hours to our pool heat pump to provide this energy of 1744 kWh. This quantity is 1744 / 12 = 145 hours.

With a swimming pool heat pump capable of supplying 12kW constantly, it will take about 6 days to warm up the water mass to 30°C.

With a pool heat pump capable of supplying 8kW constantly, it will take about 9 days (72 hours) to heat the pool to 30°C

It's better to go for a heat pump that allows for 4-5 days of heating. It would take 15 to 18kW...

Valid for residents of France and Belgium only, this form allows you to get a free quote. The service will soon be available in Switzerland too.

## Circular pool of 10m diameter

The logic is the same. Only the volume calculation changes.

Pool dimensions:

• Diameter : 10m
• Depth : 1.5m

Calculation of the pool volume:

V = Pi x 5 x 5 = 118 m3

Calculation of the quantity of heat Q to bring to heat at 30°C :

Q = m.Cp.ΔT (in Joules)

Q = 118'000 x 4185 x 20 = 9'876'600'000 Joules

Calculation of the number of kilowatt-hours:

Number of kWh = 9'876'600'000 / 3'600'000 = 2743kWh

Calculation of the time needed to provide this amount of energy Q :

To heat the pool to 30°C in 120 hours (5 days) you need a power of 22-23kW.

We can see that the required powers are quickly consequent.

In our examples we have taken 30°C, a very comfortable temperature. But 28°C is more reasonable.

It is also necessary to take into account the natural elements. The wind or the rain which can increase the calculated times, and the sun which can decrease the duration.

## Sites that offer power calculators for PAC Piscine

On the following sites you will find a heating capacity calculator for your pool that will save you from going through the above calculation process. 