As a physics demonstration a "fire" syringe is used to demonstrate the high temperatures that can be reached inside a chamber when the air inside is compressed rapidly. As the 1.00 cm diameter plunger reduces the height of the column of air inside the chamber from 7.00 cm down to 0.50 cm, the temperature inside increases from 20°C to 210°C. Determine the air pressure inside the chamber (in atm) after compression if the initial air pressure is 1.0 atm. Assume "air" is comprised of a series of ideal gases.