Calculation of the lifting force of a hot air balloon

Weather conditions:

atmospheric pressure in the flight area
Specify the pressure in the flight zone
average temperature in the flight area
°С
Specify the ambient temperature in the flight area

Balloon:

according to the balloon specs
m3
Specify the volume of the envelope
according to the Flight Manual of your balloon
°С
Specify the maximum temperature inside the envelope
including the mass of halyards, carabiners and air intake
kg
Specify the mass of the envelope
including the mass of pipes
kg
Specify the weight of the burner
Including altimeter, uncoupling, stands, covers, fire extinguisher, spare rope, first aid kit and documents
kg
Specify the weight of the basket together with the equipment
including gas, covers, plugs and straps
kg
Specify the mass of gas cylinders

Load:

just use the scale :)
kg
Specify your weight in equipment
check with passengers :)
kg
Specify the total weight of passengers
computer, cameras, batteries, food
kg
Specify the weight of additional equipment
  • Let's take off ???
  • Lifting force at start:
    maximum takeoff weight with the specified parameters

    -

  • Takeoff weight:
    the mass of the loaded balloon at the time of takeoff

    -

  • Load:
    at the chosen height

    -

  • Flight altitude:
    above launch point
    Specify the planned flight altitude
  • Click on the "CALCULATE" button
you can share this calculation

The lifting force of a thermal balloon is calculated by the formula:
Fa = V * P * g/R' * (1/To - 1/Ti)
Where Fa – lifting force of a hot air balloon [H];
V – is the volume of the envelope of the hot air balloon [m3];
P – is for ambient pressure [Pa];
g – free fall acceleration (9.807 m/s2);
R' – gas constant of air (for dry air it is equal to 287 J/(kg*K));
To and Ti – respectively stand for the temperature of the outside or ambient air and the temperature inside the enclosure [K].

The dependence of pressure on altitude is calculated by the barometric formula:
Ph = P0 * exp(-(M * g)/(R * T0) * h)
Where and Ph – pressure at altitude h [Pa];
P0 – pressure at the height of the starting point [Pa];
M – molar mass of air (0.02896 kg*mol);
g – free fall acceleration (9.807 m/s2);
R – universal gas constant (8.3143(H*m)/(mol*K));
T0 – temperature at the height of the starting point [K];
h – height above launch point [m].
A decrease in temperature by 6.5° is taken into account for every 1000 m of rise.