Understanding the helium balloon lift calculator — concept and principle
This calculator works out how much one helium balloon can lift and how many balloons you need to lift a given weight, from the balloon size, the weight of the balloon and string, and the air temperature and pressure. It is useful for party decorations, science-class experiments and balloon photography projects.
How it is calculated
- Gas densities from the ideal gas law: ρ = p × M ÷ (R × T), with M = 28.9647 g/mol for dry air, 4.002602 g/mol for helium, R = 8.314462618 J/(mol·K) and T in kelvin.
- Balloon volume = π × d³ ÷ 6 (a sphere).
- Gross lift = volume × (ρ_air − ρ_helium).
- Net lift = gross lift − balloon and string weight.
- Balloons needed = payload ÷ net lift, rounded up.
The principle
Archimedes' principle says a body in a fluid is pushed up by a force equal to the weight of the fluid it displaces. A helium balloon displaces air that is about seven times heavier than the helium inside, so the difference is available as lift. At room temperature and sea-level pressure, every litre of helium lifts a little over 1 gram. Because volume grows with the cube of the diameter, a slightly larger balloon lifts a lot more, while its own weight grows more slowly. Warm air and low pressure, as at high altitude, are less dense, so lift falls.
Worked example
Default inputs: 28 cm balloon, 4 g balloon and string, payload 50 g, 20 °C, 101.325 kPa.
- Air density = 101,325 × 0.0289647 ÷ (8.3145 × 293.15) = 1.204 kg/m³; helium = 0.1664 kg/m³.
- Volume = π × 0.28³ ÷ 6 = 0.01149 m³ = 11.5 L.
- Gross lift = 0.01149 × (1.204 − 0.166) × 1,000 = 11.9 g; net lift = 11.9 − 4 = 7.9 g.
- Balloons = 50 ÷ 7.93 = 6.3, rounded up to 7.
- Helium for all = 7 × 0.0115 = 0.08 m³.
| Weight to lift (g) | Balloons needed to lift the payload |
|---|---|
| 12.5 | 2 |
| 25 | 4 |
| 37.5 | 5 |
| 50 | 7 |
| 62.5 | 8 |
| 75 | 10 |
| 100 | 13 |
How to read the result
Add a few extra balloons: real balloons are not perfect spheres, the gas is slightly compressed, and latex balloons lose helium through their walls within hours, so lift drops over the day. Foil balloons hold helium longer. Weigh the string and anything attached, because a few grams matter when each balloon lifts only about 8 g.
Common mistakes
- Using the labelled balloon size when the balloon is under-inflated.
- Forgetting the weight of the balloon and ribbon.
- Expecting the same lift outdoors on a cold or hot day.
- Assuming balloons will still float the next day.
Frequently asked questions
How much can one helium balloon lift?
A 28 cm latex balloon lifts about 12 g gross, or about 8 g after its own weight.
How many balloons does it take to lift 50 g?
About 7 balloons of 28 cm.
How much does a litre of helium lift?
About 1 g at room temperature and sea-level pressure.
Sources: CODATA 2018 recommended values (molar gas constant R = 8.314462618 J/(mol·K)) · U.S. Standard Atmosphere, 1976 (dry air molar mass 28.9647 g/mol)