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Difference in specific mass per cubic deciliter, in a liquid or gas.

Mind you, there is more to it.

Nitrogen and oxygen have different specfic mass, yet they easily mix and do not so easealy separate. (how would we breathe air?)

What's more is more to it.

Heating air expands it, and when trapped (in a balloon) the average specific weight of the balloon becomes lighter than specific weight of the air outside the balloon.

Given the weight per Cubic meter cubed, one can see how one tonne can be lifted.

In Hot air baloons, the cloud effect plays a role too.

The hot vapour of the gasburner has a LOT water vapour in it. Warm air can hold more water vapour than cold air can. Water vapour is lighter than dry air is, and the mix will rise because the mix is lighter than heated dry air.

This also explains why hot air balloons can not get as high as helium balloons.

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