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Increase the speed of arrow shells

High speed arrow shells have a lot of advantages:
The higher the speed of an arrow shell, the better. Yet there is a problem with conventional gunpowder. Once the powder is lit it produces a huge quantity of gas at a temperature of about 2000 °C. The molecules that constitute that gas are merely nitrogen, water and carbon dioxide. At 2000 °C they move at a speed of about 1 km/s. So they cannot move along the canon tube at more than 1 km/s. Thus they cannot push the shell at more than 1 km/s.

Several solutions exist to push a shell towards higher speeds:
Some other solutions I thought of are the following:

Eric Brasseur  -  March 1 1999 till August 26 2003