How heavy is the hot air inside a hot air balloon?
2.6 t5,730 lb
The hot air inside a typical 2,800 m³ (100,000 cu ft) hot air balloon weighs about 2.6 tonnes (5,700 lb). The same space filled with outside air at 20 °C would weigh about 3.4 tonnes, and that difference, roughly 700 to 870 kg, is what lifts the envelope, basket, burners and passengers.
Hot air in a Cameron Z-750, at 99 °C21,238 m³, the largest on Cameron’s type certificate
20.1 t44,300 lb
Cool outside air filling a 2,800 m³ envelopeAt 20 °C, sea level
3.41 t7,520 lb
Hot air in a 2,800 m³ balloon, at 99 °CGives 723 kg of lift
2.69 t5,920 lb
Hot air in a 2,800 m³ balloon, at 120 °CThe hottest allowed; 867 kg of lift
2.54 t5,600 lb
Hot air in a Colt 17A, at 99 °C498 m³, the smallest on the same certificate
472 kg1,040 lb
Why hot air still weighs tonnes
Hot air is lighter than cold air, but it is not weightless. At 20 °C and sea level, air weighs about 1.204 kg per cubic metre. Heated to 99 °C it weighs 0.949 kg per cubic metre, and at 120 °C 0.898 kg. A balloon is open at the bottom, so as the air inside heats and expands, some of it spills out and what is left is thinner.
The most-used balloon size is about 2,800 m³ (99,000 cu ft). Filled with air at 99 °C, it holds 2,686 kg of air; at 120 °C, 2,542 kg. Our 2.6 tonnes sits between the two, for air at about 110 °C. Filled with 20 °C outside air instead, the same envelope would hold 3,410 kg.
How much a balloon can lift
The lift is the weight of the outside air the envelope pushes aside, minus the weight of the hot air inside. For 2,800 m³ heated to 99 °C that is 723.5 kg (1,595 lb); at 120 °C it rises to 867.3 kg (1,912 lb). Everything has to fit inside it: the envelope, the basket, the burners, the propane and the people.
Pilots cannot simply keep heating. Cameron’s type certificate says the envelope temperature must not exceed 120 °C (250 °F), to protect the nylon fabric. Flown within that limit, an envelope typically lasts 400 to 500 hours before the fabric needs replacing. For a Cameron 100,000 cu ft balloon the certified maximum take-off mass is 907 kg, envelope and all. A balloon this size carries 3 to 5 people.
Small and very large balloons
Cameron’s type certificate, which also covers its Colt and Thunder brands, runs from the Colt 17A at 17,600 cu ft (498 m³), with a maximum take-off mass of just 160 kg, up to the Z-750 at 750,000 cu ft (21,238 m³) and 5,103 kg. Heated to 99 °C, the air in the small one weighs about 470 kg, and the air in the Z-750 about 20 tonnes. Sightseeing balloons of up to 17,000 m³ can carry well over two dozen passengers.
The envelope itself is light by comparison. Cameron lists its Z-105, about 2,974 m³ and 64 ft (20 m) tall, at a standard weight of 249 lb (113 kg), less than a twentieth of the air it holds.
In a typical 2,800 m³ balloon, about 2.5 to 2.7 tonnes (5,600 to 5,900 lb), depending on how hot it is. We use 2.6 tonnes. The same volume of outside air at 20 °C weighs about 3.4 tonnes.
How much weight can a hot air balloon lift?
A 2,800 m³ balloon heated to 99 °C gives about 723 kg (1,595 lb) of lift, and about 867 kg (1,912 lb) at the 120 °C limit. That has to carry the envelope, basket, burners, fuel and passengers.
How hot is the air inside a hot air balloon?
Roughly 100 °C: at 99 °C a typical 2,800 m³ balloon already gives about 723 kg of lift. Cameron’s type certificate says the envelope must never go above 120 °C (250 °F).
How big is a hot air balloon?
The most common size is about 2,800 m³ (99,000 cu ft), enough for 3 to 5 people. Cameron’s 105,000 cu ft Z-105 stands about 64 ft (20 m) tall.
Why does a hot air balloon float?
Because the hot air inside weighs less than the cooler air it pushes aside. For a 2,800 m³ balloon at 99 °C, the difference is about 723 kg, and the balloon rises when that is more than the balloon and its load.