Enter the total hydrogen volume (or hydrogen lift) into the Calculator. The calculator will evaluate the net buoyant hydrogen lift (ignoring the balloon/envelope weight) using a standard air–hydrogen density difference.
Hydrogen Lift Formula
HL = V \times (\rho_{air}-\rho_{H_2}) \times g \approx V \times 1.202 \times 9.80665Variables:
- HL is the net buoyant Hydrogen Lift (N)
- V is the total hydrogen volume (m^3)
- ρair is the density of the surrounding air (kg/m^3)
- ρH2 is the density of hydrogen gas (kg/m^3)
- g is the acceleration due to gravity (m/s^2)
To calculate hydrogen lift (net buoyant lift), multiply the hydrogen volume by the density difference between air and hydrogen, (ρair − ρH2), and then multiply by g. Using standard conditions (dry air and hydrogen at 0°C and 1 atm), (ρair − ρH2) ≈ 1.202 kg/m^3.
How to Calculate Hydrogen Lift?
The following steps outline how to calculate the Hydrogen Lift.
- First, determine the total hydrogen volume (m^3).
- Next, gather the formula from above: HL = V × (ρair − ρH2) × g (≈ V × 1.202 × 9.80665 under standard conditions).
- Finally, calculate the Hydrogen Lift.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Total hydrogen volume (m^3) = 800
Hydrogen Lift (net, N) ≈ 800 × 1.202 × 9.80665 ≈ 9430.1 N (about 962 kg of lift under these assumptions).
FAQs about Hydrogen Lift
What is hydrogen lift?
Hydrogen lift refers to the upward buoyant force (often reported as the net lift) generated when hydrogen gas is contained within a volume, such as a balloon or airship. The net lift comes from the fact that hydrogen is less dense than the surrounding air, so the displaced air weighs more than the hydrogen inside the envelope.
How is hydrogen lift calculated?
The net hydrogen lift can be estimated with the buoyancy relationship: HL = V × (ρair − ρH2) × g, where HL is lift in Newtons (N), V is the hydrogen volume in cubic meters (m^3), ρair is the density of the surrounding air, ρH2 is the density of hydrogen, and g is the acceleration due to gravity. Under standard conditions (dry air and hydrogen at 0°C and 1 atm), (ρair − ρH2) ≈ 1.202 kg/m^3, so HL ≈ V × 1.202 × 9.80665.
Why is hydrogen used for lift instead of other gases?
Hydrogen is used for lift because it is the lightest of all gases, with a lower density than air, making it ideal for creating lift. Its lifting capacity per cubic meter is higher than that of other gases like helium, although helium is often preferred for safety reasons, as hydrogen is highly flammable.
What are some applications of hydrogen lift?
Hydrogen lift has been historically used in airships and balloons for transportation, reconnaissance, and advertising. Despite the safety concerns associated with its flammability, hydrogen's high lifting capacity makes it attractive for certain applications, especially where cost or availability of helium is a limiting factor.
