Hot air balloons

Hot Air Balloons The science and maths http:// johnwest.edublogs.org / Science Infoblog: A school science blog

First a few useful definitions (fluids liquids and gasses) ,[object Object],[object Object],[object Object],[object Object]

Flotation and Archimedes ,[object Object],[object Object],[object Object],[object Object],Archimedes on wikipedia

Generating Lift With Hot Air ,[object Object],[object Object],[object Object],[object Object],Gravity Buoyant force

Balloons have to be big to lift. How hot is the air inside? ,[object Object],[object Object],[object Object]

What do we know about gasses ,[object Object],[object Object],[object Object]

Counting atoms and molecules ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Ideal gas equation ,[object Object],Increase p, V must decrease What happens to the gas when T increases? The gas constant,

The Gas Constant ,[object Object],or

Using the ideal gas equation to calculate air densities ,[object Object],[object Object],[object Object]

Molar Mass ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The gas equation and air density (1) ,[object Object],[object Object]

The gas equation and air density (2) ,[object Object],[object Object]

The gas equation and air density (3) ,[object Object],Get rid of n Shift V to the other side

The gas equation and air density (4) We can replace m/V with the air density and rearrange There is one last convenient trick

The gas equation and air density (5). Using the specific gas constant ,[object Object],Finally…

The final equation for calculating air density ,[object Object],[object Object]

Balloon lift calculation ,[object Object],[object Object],[object Object],[object Object],[object Object],For typical atmospheric conditions 1/0.25839 or 4.073 m 3 of balloon needed to lift 1 Kg.

Hot air balloons

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Hot air balloons