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The mathematics aren't quite that simple.
When you compress air you also heat it. If you compress the air slowly enough to maintain it's temperature (conduct the produced heat away) then your formula is correct, a 2:1 comp ratio would give 2 bar of pressure.
But since there is not appreciable time for the air to cool during compression the air gets warmer when compressed. This gives a higher pressure. A 15:1 ratio will give a 25bar pressure if I remember correctly (don't have my physics book handy).
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