Understanding the water-soluble fertilizer calculator — concept and principle
This calculator tells you how many grams of a water-soluble fertilizer to dissolve so that the feed water carries a chosen nitrogen concentration in ppm. It covers mixing straight into a watering can and making a stock for an injector.
How it is calculated
- Grams per litre = target ppm N × ratio ÷ (%N × 10). For direct mixing the ratio is 1.
- Fertilizer to weigh out = grams per litre × litres mixed (US gallons × 3.785411784).
- Ounces per US gallon = target ppm × ratio ÷ (%N × 75).
- Phosphorus delivered (ppm P) = ppm N × (%P₂O₅ ÷ 2.3) ÷ %N; potassium (ppm K) = ppm N × (%K₂O ÷ 1.2) ÷ %N.
- Feed solution made = litres mixed × ratio.
The injector ratio is used only in stock mode; in direct mode it is ignored.
The principle
One ppm by weight in water is one milligram per litre. A fertilizer labelled 20-20-20 is 20 % nitrogen by weight, so 1 g of it holds 200 mg of N. Dissolved in 1 L, that gives 200 ppm N, which is why grams per litre = ppm ÷ (%N × 10). The US constant 75 comes from 1 oz per gallon being about 7.49 g per litre. A 1:100 injector turns 1 part of stock into 100 parts of feed, so the stock must be 100 times stronger. Labels give phosphate and potash as the oxides P₂O₅ and K₂O; phosphorus is about 43.6 % of P₂O₅ and potassium about 83 % of K₂O by mass, hence the divisors 2.3 and 1.2.
Worked example
Default inputs: 20-20-20, target 200 ppm N, mixed directly in 10 L of water.
- Grams per litre = 200 × 1 ÷ (20 × 10) = 1 g/L.
- Fertilizer to weigh out = 1 × 10 = 10 g, or 10 ÷ 28.35 = 0.35 oz.
- Ounces per US gallon = 200 ÷ (20 × 75) = 0.133 oz/gal.
- Phosphorus = 200 × 20 ÷ 2.3 ÷ 20 = 87 ppm P; potassium = 200 × 20 ÷ 1.2 ÷ 20 = 167 ppm K.
- Feed solution made = 10 × 1 = 10 L.
| Nitrogen on the label (% N, first number) | Fertilizer to weigh out (g) |
|---|---|
| 5 | 40 |
| 10 | 20 |
| 15 | 13.3 |
| 20 | 10 |
| 25 | 8 |
| 30 | 6.7 |
| 40 | 5 |
How to read the result
The gram figure is what goes on the kitchen scale. Many growers feed potted plants at roughly 100–200 ppm N when they fertilize with every watering, and use a stronger rate less often; follow the rate on your label or crop guide. If you have an EC meter, compare the reading with the EC table supplied by the fertilizer maker.
Common mistakes
- Reading 20-20-20 as elemental P and K; the second and third numbers are oxides.
- Mixing stock for a 1:100 injector at feed strength, which delivers only 1 % of the intended rate.
Frequently asked questions
How many grams of 20-20-20 per litre give 100 ppm N?
100 ÷ (20 × 10) = 0.5 g per litre.
What does 1:100 mean on an injector?
One part of stock is mixed into a total of 100 parts of feed water, so the stock is 100 times as strong as the feed.
Why are P and K lower than the label numbers suggest?
The label uses P₂O₅ and K₂O. Converting to the elements divides by about 2.3 and 1.2.
Sources: UMass Extension Greenhouse Crops and Floriculture Program, "Fertilizer Calculations for Greenhouse Crops" · NIST Special Publication 811 (1 US gal = 3.785411784 L; 1 oz = 28.349523125 g)