You are designing a system where a large piston is used to compress gases in a circular cylinder. In its uncompressed state, the gas in the cylinder is at 220C, but you don't know the pressure. The gas in the cylinder is made up of nitrogen and helium. The temperature change as the piston is compressed is and increase of 145 C. As the piston is compressed, the pressure also increases by 2000000 Pa. If there is 4 times as many atoms of nitrogen as helium, how many moles of helium are in the cylinder?
Geometry:
Cylinder diameter d=2.7m
Cylinder air chamber length (uncompressed) L1=5.1m
Cylinder air chamber length (compressed) L2=0.25m