Understanding the pool volume and chlorine calculator — concept and principle
This calculator estimates the water volume of a rectangular pool with a sloping floor and the amount of chlorine product needed to raise the free chlorine level by a chosen amount. Pool owners use it when opening a pool, after heavy use or rain, and whenever a test shows chlorine below the target range.
How it is calculated
- Volume (m³) = length × width × (shallow depth + deep depth) ÷ 2. The average of the two depths stands in for a floor that slopes evenly.
- Litres = m³ × 1,000.
- Product to add (g) = volume (m³) × ppm rise ÷ (strength % ÷ 100).
Strength is the available chlorine stated on the product, for example 65% for many calcium hypochlorite granules.
The principle
One part per million (ppm) by mass in water is the same as one milligram per litre. Since 1 m³ of water is 1,000 L, raising 1 m³ by 1 ppm needs 1,000 mg, which is exactly 1 g of pure available chlorine. So the grams of chlorine needed equal m³ × ppm. A product that is only 65% available chlorine must be used in proportionally larger amounts, which is why the result is divided by the strength. The volume formula treats the side profile as a trapezium.
Worked example
- Inputs: 8 m × 4 m pool, depth from 1.0 m to 1.8 m, target rise 2 ppm, product strength 65%.
- Average depth: (1.0 + 1.8) ÷ 2 = 1.4 m.
- Volume: 8 × 4 × 1.4 = 44.8 m³, or 44,800 L.
- Pure chlorine needed: 44.8 × 2 = 89.6 g.
- Product: 89.6 ÷ 0.65 ≈ 137.8 g.
| Length (m) | Volume (m³) |
|---|---|
| 2 | 11.2 |
| 4 | 22.4 |
| 6 | 33.6 |
| 8 | 44.8 |
| 10 | 56 |
| 12 | 67.2 |
| 16 | 89.6 |
How to read the result
The result is the dose for a rise, not for the final level, so test first and enter the difference between your reading and your target. Residential pools are commonly kept at around 1–3 ppm free chlorine; sunlight, warm water, swimmers and organic debris use it up, so the dose needed each day varies. A weaker liquid product needs far more: at 12.5% strength the same rise would need about 717 g of product. Add chlorine with the pump running and retest after it has circulated.
Common mistakes
- Using the deep-end depth for the whole pool, which overstates volume.
- Ignoring the product's actual strength, or treating a liquid's grams as millilitres.
- Dosing without testing pH; chlorine works much less effectively at high pH.
Frequently asked questions
How do I find the volume of a round pool?
Use π × radius² × average depth. A 4 m diameter pool 1.2 m deep holds about 15.1 m³.
What is the difference between free and total chlorine?
Free chlorine is the active sanitiser; combined chlorine (total minus free) has already reacted with contaminants and causes the "chlorine smell".
Can I swim right after adding chlorine?
Wait until the water has circulated and a test shows levels back in the normal range; the product label gives specific times.
Sources: World Health Organization, Guidelines for Safe Recreational Water Environments, Volume 2: Swimming Pools and Similar Environments (2006) · U.S. Centers for Disease Control and Prevention, Model Aquatic Health Code